Wael, Shrouk; Seadawy, Aly R.; Moawad, S. M.; EL-Kalaawy, O. H. Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions. (English) Zbl 07549984 J. Geom. Phys. 178, Article ID 104581, 25 p. (2022). MSC: 35Cxx 70H33 58J72 PDF BibTeX XML Cite \textit{S. Wael} et al., J. Geom. Phys. 178, Article ID 104581, 25 p. (2022; Zbl 07549984) Full Text: DOI OpenURL
Sun, Hong-Qian; Zhu, Zuo-Nong Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation. (English) Zbl 07548973 Physica D 436, Article ID 133312, 13 p. (2022). MSC: 37K40 37K35 39A12 39A36 35Q55 PDF BibTeX XML Cite \textit{H.-Q. Sun} and \textit{Z.-N. Zhu}, Physica D 436, Article ID 133312, 13 p. (2022; Zbl 07548973) Full Text: DOI OpenURL
Hu, Yuru; Zhang, Feng; Xin, Xiangpeng; Liu, Hanze Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation. (English) Zbl 07544775 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1811-1822 (2022). MSC: 35Q51 35Q55 35Q53 35C08 37K35 PDF BibTeX XML Cite \textit{Y. Hu} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1811--1822 (2022; Zbl 07544775) Full Text: DOI OpenURL
Xu, Gui-qiong; Liu, Yin-ping; Cui, Wen-ying Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV-Calogero-bogoyavlenkskii-Schiff equation. (English) Zbl 07540970 Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022). MSC: 35Q53 35C08 37K35 37K10 PDF BibTeX XML Cite \textit{G.-q. Xu} et al., Appl. Math. Lett. 132, Article ID 108184, 8 p. (2022; Zbl 07540970) Full Text: DOI OpenURL
Xin, Xiangpeng; Xia, Yarong; Zhang, Lihua; Liu, Hanze Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations. (English) Zbl 07540961 Appl. Math. Lett. 132, Article ID 108157, 8 p. (2022). MSC: 35Q55 35Q41 37K35 35C08 17B80 PDF BibTeX XML Cite \textit{X. Xin} et al., Appl. Math. Lett. 132, Article ID 108157, 8 p. (2022; Zbl 07540961) Full Text: DOI OpenURL
Wang, Xiu-Bin Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation. (English) Zbl 07540930 Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022). MSC: 35Q55 35Q41 35B10 37K35 35C08 PDF BibTeX XML Cite \textit{X.-B. Wang}, Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022; Zbl 07540930) Full Text: DOI OpenURL
Xia, Baoqiang A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation. (English) Zbl 07538097 J. Nonlinear Sci. 32, No. 4, Paper No. 53, 33 p. (2022). MSC: 37-XX 58-XX PDF BibTeX XML Cite \textit{B. Xia}, J. Nonlinear Sci. 32, No. 4, Paper No. 53, 33 p. (2022; Zbl 07538097) Full Text: DOI OpenURL
Mathebula, A.; Jamal, Sameerah The potential function problem for the Klein-Gordon equation. (English) Zbl 07536070 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 29, No. 3, 153-167 (2022). MSC: 37L20 35K57 70G65 58J72 PDF BibTeX XML Cite \textit{A. Mathebula} and \textit{S. Jamal}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 29, No. 3, 153--167 (2022; Zbl 07536070) Full Text: Link OpenURL
Li, Li; Liu, Yiyan; Yu, Fajun Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds. (English) Zbl 07534452 Appl. Math. Lett. 129, Article ID 107976, 9 p. (2022). MSC: 35Q55 35Q51 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{L. Li} et al., Appl. Math. Lett. 129, Article ID 107976, 9 p. (2022; Zbl 07534452) Full Text: DOI OpenURL
Shen, Yali; Yao, Ruoxia Novel particular solutions, breathers, and rogue waves for an integrable nonlocal derivative nonlinear Schrödinger equation. (English) Zbl 07532771 Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022). MSC: 35Q55 35Q41 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{R. Yao}, Adv. Math. Phys. 2022, Article ID 7670773, 9 p. (2022; Zbl 07532771) Full Text: DOI OpenURL
Sakkaravarthi, K.; Kanna, T.; Mareeswaran, R. Babu Higher-order optical rogue waves in spatially inhomogeneous multimode fiber. (English) Zbl 07529711 Physica D 435, Article ID 133285, 17 p. (2022). MSC: 35Q55 35Q41 78A60 35C08 37K35 33E05 PDF BibTeX XML Cite \textit{K. Sakkaravarthi} et al., Physica D 435, Article ID 133285, 17 p. (2022; Zbl 07529711) Full Text: DOI OpenURL
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics. (English) Zbl 07524907 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022). MSC: 35Q35 37K35 37N10 76B15 35C08 68W30 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022; Zbl 07524907) Full Text: DOI OpenURL
Zhou, Xin-Mei; Zhang, Tian-Tian; Zhu, Chenghao; Chen, Yi-Ren Transition of the breather wave of six-order nonlinear Schrödinger equation. (English) Zbl 07523673 Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022). MSC: 35Q55 37K35 35C08 35B05 PDF BibTeX XML Cite \textit{X.-M. Zhou} et al., Appl. Math. Lett. 131, Article ID 108072, 7 p. (2022; Zbl 07523673) Full Text: DOI OpenURL
Wang, Xin; Wei, Jiao Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal \(\mathcal{PT}\) symmetric nonlinear Schrödinger equation. (English) Zbl 07523637 Appl. Math. Lett. 130, Article ID 107998, 8 p. (2022). MSC: 35Q55 35Q41 35C08 37K35 15A18 PDF BibTeX XML Cite \textit{X. Wang} and \textit{J. Wei}, Appl. Math. Lett. 130, Article ID 107998, 8 p. (2022; Zbl 07523637) Full Text: DOI OpenURL
Ye, Rusuo; Zhang, Yi; Ma, Wen-Xiu Bound states of dark solitons in \(N\)-coupled complex modified Korteweg-de Vries equations. (English) Zbl 07506760 Acta Appl. Math. 178, Paper No. 7, 10 p. (2022). MSC: 37K15 37K35 37K40 PDF BibTeX XML Cite \textit{R. Ye} et al., Acta Appl. Math. 178, Paper No. 7, 10 p. (2022; Zbl 07506760) Full Text: DOI OpenURL
Blackmore, Denis; Prykarpatsky, Yarema; Prytula, Mykola M.; Dutykh, Denys; Prykarpatski, Anatolij K. On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries. (English) Zbl 07506378 Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022). MSC: 17B68 17B80 35Q53 35G25 35N10 37K35 58J70 58J72 34A34 37K05 37K10 PDF BibTeX XML Cite \textit{D. Blackmore} et al., Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022; Zbl 07506378) Full Text: DOI OpenURL
Sakhnovich, Alexander Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices. (English) Zbl 07501331 Constr. Approx. 55, No. 2, 641-659 (2022). MSC: 39A45 15B05 30E10 34B20 39A12 33C45 PDF BibTeX XML Cite \textit{A. Sakhnovich}, Constr. Approx. 55, No. 2, 641--659 (2022; Zbl 07501331) Full Text: DOI OpenURL
Dubois, J.; Hertrich-Jeromin, U.; Szewieczek, G. Notes on flat fronts in hyperbolic space. (English) Zbl 07493138 J. Geom. 113, No. 1, Paper No. 20, 13 p. (2022). Reviewer: Ameth Ndiaye (Dakar) MSC: 53C42 53A10 53A31 37K25 37K35 PDF BibTeX XML Cite \textit{J. Dubois} et al., J. Geom. 113, No. 1, Paper No. 20, 13 p. (2022; Zbl 07493138) Full Text: DOI arXiv OpenURL
Sun, Ying-ying; Sun, Wan-yi An update of a Bäcklund transformation and its applications to the Boussinesq system. (English) Zbl 07484264 Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022). MSC: 37Kxx 35Qxx 39Axx PDF BibTeX XML Cite \textit{Y.-y. Sun} and \textit{W.-y. Sun}, Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022; Zbl 07484264) Full Text: DOI OpenURL
Wang, Gang; Goertsches, Oliver; Wang, Erxiao Projective loops generate rational loop groups. (English) Zbl 07482200 J. Inst. Math. Jussieu 21, No. 2, 459-485 (2022). MSC: 22E67 37K35 53C43 53Axx PDF BibTeX XML Cite \textit{G. Wang} et al., J. Inst. Math. Jussieu 21, No. 2, 459--485 (2022; Zbl 07482200) Full Text: DOI arXiv OpenURL
Tian, Kai; Zhou, Hanyu On a fermionic extension of \(K(-1,-2)\) equation. (English) Zbl 1480.35346 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106237, 9 p. (2022). MSC: 35Q51 37K10 37K35 PDF BibTeX XML Cite \textit{K. Tian} and \textit{H. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106237, 9 p. (2022; Zbl 1480.35346) Full Text: DOI OpenURL
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. (English) Zbl 1481.78025 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022). MSC: 78A60 35Q60 35Q55 35Q41 35C08 37K10 37K35 81V45 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022; Zbl 1481.78025) Full Text: DOI OpenURL
Zang, Liming; Liu, Q. P. A super KdV equation of Kupershmidt: Bäcklund transformation, Lax pair and related discrete system. (English) Zbl 07452168 Phys. Lett., A 422, Article ID 127794, 10 p. (2022). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{L. Zang} and \textit{Q. P. Liu}, Phys. Lett., A 422, Article ID 127794, 10 p. (2022; Zbl 07452168) Full Text: DOI OpenURL
Wu, Huiling; Chen, Qiaoyun; Song, Junfeng Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 07443290 Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022). Reviewer: Iroda Baltaeva (Urganch) MSC: 35Q53 37K35 37K10 35C08 33E17 PDF BibTeX XML Cite \textit{H. Wu} et al., Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022; Zbl 07443290) Full Text: DOI OpenURL
Dong, Suyalatu; Lan, Zhong-Zhou; Gao, Bo; Shen, Yujia Bäcklund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation. (English) Zbl 07443231 Appl. Math. Lett. 125, Article ID 107747, 7 p. (2022). Reviewer: Patrícia Nunes da Silva (Rio de Janeiro) MSC: 35Q53 35C08 37K35 68W30 PDF BibTeX XML Cite \textit{S. Dong} et al., Appl. Math. Lett. 125, Article ID 107747, 7 p. (2022; Zbl 07443231) Full Text: DOI OpenURL
Zhang, Yujuan; Ma, Ruyun; Xiong, Na; Feng, Bao-Feng Integrable semi-discretization of a modified short wave equation. (English) Zbl 1485.37067 Appl. Math. Lett. 125, Article ID 107739, 8 p. (2022). MSC: 37K60 37K10 37K35 37K40 39A36 39A14 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Appl. Math. Lett. 125, Article ID 107739, 8 p. (2022; Zbl 1485.37067) Full Text: DOI OpenURL
Yang, Dan-Yu; Tian, Bo; Qu, Qi-Xing; Zhang, Chen-Rong; Chen, Su-Su; Wei, Cheng-Cheng Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber. (English) Zbl 07544008 Chaos Solitons Fractals 150, Article ID 110487, 8 p. (2021). MSC: 78A60 35C08 37K35 37K40 35Q55 35Q51 PDF BibTeX XML Cite \textit{D.-Y. Yang} et al., Chaos Solitons Fractals 150, Article ID 110487, 8 p. (2021; Zbl 07544008) Full Text: DOI OpenURL
Munir, Mobeen; Athar, Muhammad; Sarwar, Sakhi; Shatanawi, Wasfi Lie symmetries of generalized equal width wave equations. (English) Zbl 07533421 AIMS Math. 6, No. 11, 12148-12165 (2021). MSC: 22E70 34A05 35A30 58J70 58J72 PDF BibTeX XML Cite \textit{M. Munir} et al., AIMS Math. 6, No. 11, 12148--12165 (2021; Zbl 07533421) Full Text: DOI OpenURL
Kumari, Pinki; Gupta, R. K.; Kumar, Sachin Non-auto-Bäcklund transformation and novel abundant explicit exact solutions of the variable coefficients burger equation. (English) Zbl 07514625 Chaos Solitons Fractals 145, Article ID 110775, 3 p. (2021). MSC: 83C15 34A34 PDF BibTeX XML Cite \textit{P. Kumari} et al., Chaos Solitons Fractals 145, Article ID 110775, 3 p. (2021; Zbl 07514625) Full Text: DOI OpenURL
Qin, Yanan \(N\)-fold Darboux transformation of a six-field integrable lattice system. (English) Zbl 07503823 Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021). MSC: 82D80 82D25 37K10 37K35 70S15 18D65 PDF BibTeX XML Cite \textit{Y. Qin}, Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021; Zbl 07503823) Full Text: DOI OpenURL
Zahran, Emad H. M.; Shehata, Maha S. M.; Mirhosseini-Alizamini, S. M.; Alam, Md Nur; Akinyemi, Lanre Exact propagation of the isolated waves model described by the three coupled nonlinear Maccari’s system with complex structure. (English) Zbl 07502281 Int. J. Mod. Phys. B 35, No. 18, Article ID 2150193, 15 p. (2021). MSC: 35Q53 37K10 37K40 37K35 35C07 35C08 PDF BibTeX XML Cite \textit{E. H. M. Zahran} et al., Int. J. Mod. Phys. B 35, No. 18, Article ID 2150193, 15 p. (2021; Zbl 07502281) Full Text: DOI OpenURL
Han, Rong; Sun, Haichao; Jiang, Nana; Yan, Zhaowen On the higher-order inhomogeneous Heisenberg supermagnetic models. (English) Zbl 1482.37067 J. Nonlinear Math. Phys. 28, No. 4, 345-362 (2021). MSC: 37K10 37K35 35Q55 35Q53 82D40 17B80 PDF BibTeX XML Cite \textit{R. Han} et al., J. Nonlinear Math. Phys. 28, No. 4, 345--362 (2021; Zbl 1482.37067) Full Text: DOI OpenURL
Wang, Gangwei Symmetry analysis, analytical solutions and conservation laws of a generalized KdV-Burgers-Kuramoto equation and its fractional version. (English) Zbl 1482.35027 Fractals 29, No. 4, Article ID 2150101, 11 p. (2021). MSC: 35B06 35Q53 35R11 PDF BibTeX XML Cite \textit{G. Wang}, Fractals 29, No. 4, Article ID 2150101, 11 p. (2021; Zbl 1482.35027) Full Text: DOI OpenURL
Demskoi, Dmitry K. The lattice sine-Gordon equation as a superposition formula for an NLS-type system. (English) Zbl 1483.35176 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 108, 10 p. (2021). MSC: 35Q51 35Q55 37K60 37K10 35C08 37K35 PDF BibTeX XML Cite \textit{D. K. Demskoi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 108, 10 p. (2021; Zbl 1483.35176) Full Text: DOI arXiv OpenURL
Mao, Hui On two generalized short pulse equations: Bäcklund transformations and applications. (Chinese. English summary) Zbl 07448167 Acta Math. Appl. Sin. 44, No. 3, 340-354 (2021). MSC: 35R12 37K35 PDF BibTeX XML Cite \textit{H. Mao}, Acta Math. Appl. Sin. 44, No. 3, 340--354 (2021; Zbl 07448167) OpenURL
Lou, Yu; Zhang, Yi; Ye, Rusuo Rogue waves on the general periodic traveling wave background for an extended modified Korteweg-de Vries equation. (English) Zbl 1479.35723 Math. Methods Appl. Sci. 44, No. 17, 13711-13722 (2021). MSC: 35Q51 35Q53 35C07 35C08 35B10 37K10 37K35 33E05 PDF BibTeX XML Cite \textit{Y. Lou} et al., Math. Methods Appl. Sci. 44, No. 17, 13711--13722 (2021; Zbl 1479.35723) Full Text: DOI OpenURL
Geng, Xianguo; Li, Yihao; Wei, Jiao; Zhai, Yunyun Darboux transformation of a two-component generalized Sasa-Satsuma equation and explicit solutions. (English) Zbl 1479.35718 Math. Methods Appl. Sci. 44, No. 17, 12727-12745 (2021). MSC: 35Q51 35Q53 35C08 35C07 37K10 37K35 35L65 PDF BibTeX XML Cite \textit{X. Geng} et al., Math. Methods Appl. Sci. 44, No. 17, 12727--12745 (2021; Zbl 1479.35718) Full Text: DOI OpenURL
An, Ling; Li, Chuanzhong On the multicomponent weakly interacted generalized \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1484.37078 Math. Methods Appl. Sci. 44, No. 18, 14411-14427 (2021). MSC: 37K35 37K10 37K40 35Q51 PDF BibTeX XML Cite \textit{L. An} and \textit{C. Li}, Math. Methods Appl. Sci. 44, No. 18, 14411--14427 (2021; Zbl 1484.37078) Full Text: DOI OpenURL
Vakhnenko, Oleksiy O. Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior. (English) Zbl 07428507 Wave Motion 104, Article ID 102745, 14 p. (2021). MSC: 37-XX 70-XX PDF BibTeX XML Cite \textit{O. O. Vakhnenko}, Wave Motion 104, Article ID 102745, 14 p. (2021; Zbl 07428507) Full Text: DOI arXiv OpenURL
Li, Yu-Yue; Zhou, Zi-Xiang Dromion solutions of PT-symmetric \((x,y)\)-nonlocal Davey-Stewartson I equation. (English) Zbl 1477.35213 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105967, 19 p. (2021). MSC: 35Q51 35C08 35B40 37K35 37K40 PDF BibTeX XML Cite \textit{Y.-Y. Li} and \textit{Z.-X. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105967, 19 p. (2021; Zbl 1477.35213) Full Text: DOI OpenURL
Xia, Yarong; Yao, Ruoxia; Xin, Xiangpeng Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system. (English) Zbl 1477.35063 Adv. Math. Phys. 2021, Article ID 9975303, 10 p. (2021). MSC: 35C08 35B06 58J72 PDF BibTeX XML Cite \textit{Y. Xia} et al., Adv. Math. Phys. 2021, Article ID 9975303, 10 p. (2021; Zbl 1477.35063) Full Text: DOI OpenURL
Jia, Yuechen; Lu, Yu; Yu, Miao; Gegen, Hasi \(M\)-breather, lumps, and soliton molecules for the \((2 + 1)\)-dimensional elliptic Toda equation. (English) Zbl 1479.35407 Adv. Math. Phys. 2021, Article ID 5211451, 18 p. (2021). MSC: 35J61 35A01 PDF BibTeX XML Cite \textit{Y. Jia} et al., Adv. Math. Phys. 2021, Article ID 5211451, 18 p. (2021; Zbl 1479.35407) Full Text: DOI OpenURL
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system. (English) Zbl 1477.35218 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 87, 12 p. (2021). MSC: 35Q53 68W30 76B15 86A05 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 87, 12 p. (2021; Zbl 1477.35218) Full Text: DOI OpenURL
Zhang, Dan-da; Zhang, Da-jun; van der Kamp, Peter H. From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations. (English) Zbl 07421275 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 33, 23 p. (2021). MSC: 39A36 37K60 37K35 PDF BibTeX XML Cite \textit{D.-d. Zhang} et al., Math. Phys. Anal. Geom. 24, No. 4, Paper No. 33, 23 p. (2021; Zbl 07421275) Full Text: DOI arXiv OpenURL
Dong, Min-Jie; Tian, Li-Xin; Wei, Jing-Dong; Wang, Yun Some localized wave solutions for the coupled Gerdjikov-Ivanov equation. (English) Zbl 1479.35780 Appl. Math. Lett. 122, Article ID 107483, 7 p. (2021). MSC: 35Q55 35Q41 35C20 35C08 37K35 PDF BibTeX XML Cite \textit{M.-J. Dong} et al., Appl. Math. Lett. 122, Article ID 107483, 7 p. (2021; Zbl 1479.35780) Full Text: DOI OpenURL
Shen, Yuan; Tian, Bo Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves. (English) Zbl 1476.35082 Appl. Math. Lett. 122, Article ID 107301, 7 p. (2021). MSC: 35C08 35Q35 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{B. Tian}, Appl. Math. Lett. 122, Article ID 107301, 7 p. (2021; Zbl 1476.35082) Full Text: DOI OpenURL
Liu, Ya-Hui; Guo, Rui; Li, Xing-Lan Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation. (English) Zbl 1479.35808 Appl. Math. Lett. 121, Article ID 107450, 8 p. (2021). MSC: 35Q55 35Q41 35C08 37K35 76B15 PDF BibTeX XML Cite \textit{Y.-H. Liu} et al., Appl. Math. Lett. 121, Article ID 107450, 8 p. (2021; Zbl 1479.35808) Full Text: DOI OpenURL
Vakhnenko, Oleksiy O. Nonlinear integrable dynamics of coupled vibrational and intra-site excitations on a regular one-dimensional lattice. (English) Zbl 07411258 Phys. Lett., A 405, Article ID 127431, 6 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{O. O. Vakhnenko}, Phys. Lett., A 405, Article ID 127431, 6 p. (2021; Zbl 07411258) Full Text: DOI OpenURL
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system. (English) Zbl 1478.78057 Appl. Math. Lett. 120, Article ID 107161, 7 p. (2021). MSC: 78A60 35Q55 68W30 37K35 35C08 81P45 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Appl. Math. Lett. 120, Article ID 107161, 7 p. (2021; Zbl 1478.78057) Full Text: DOI OpenURL
Xin, Xiangpeng; Liu, Yutang; Xia, Yarong; Liu, Hanze Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations. (English) Zbl 1479.35829 Appl. Math. Lett. 119, Article ID 107209, 8 p. (2021). MSC: 35Q55 35Q41 37K10 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{X. Xin} et al., Appl. Math. Lett. 119, Article ID 107209, 8 p. (2021; Zbl 1479.35829) Full Text: DOI OpenURL
Wang, Meng; Tian, Bo; Hu, Cong-Cong; Liu, Shao-Hua Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber. (English) Zbl 1478.78067 Appl. Math. Lett. 119, Article ID 106936, 9 p. (2021). MSC: 78A60 35Q55 37K35 35C08 PDF BibTeX XML Cite \textit{M. Wang} et al., Appl. Math. Lett. 119, Article ID 106936, 9 p. (2021; Zbl 1478.78067) Full Text: DOI OpenURL
Liu, De-Yin; Yu, Hui Min Mixed localized wave solutions of the Hirota equation. (English) Zbl 1479.35804 Appl. Math. Lett. 118, Article ID 107154, 7 p. (2021). MSC: 35Q55 35Q41 35C08 37K35 37K40 PDF BibTeX XML Cite \textit{D.-Y. Liu} and \textit{H. M. Yu}, Appl. Math. Lett. 118, Article ID 107154, 7 p. (2021; Zbl 1479.35804) Full Text: DOI OpenURL
Startsev, Sergey Yakovlevich On Darboux non-integrability of Hietarinta equation. (English) Zbl 07407676 Ufim. Mat. Zh. 13, No. 2, 166-175 (2021) and Ufa Math. J. 13, No. 2, 160-169 (2021). MSC: 39A36 39A14 37K60 PDF BibTeX XML Cite \textit{S. Y. Startsev}, Ufim. Mat. Zh. 13, No. 2, 166--175 (2021; Zbl 07407676) Full Text: DOI MNR OpenURL
Adler, Vsevolod Eduardovich Differential substitutions for non-abelian equations of KdV type. (English) Zbl 07407672 Ufim. Mat. Zh. 13, No. 2, 112-120 (2021) and Ufa Math. J. 13, No. 2, 107-114 (2021). MSC: 35Q53 37K30 37K35 PDF BibTeX XML Cite \textit{V. E. Adler}, Ufim. Mat. Zh. 13, No. 2, 112--120 (2021; Zbl 07407672) Full Text: DOI arXiv MNR OpenURL
Wu, Rile; Zha, Qilao A Darboux transformation and the conservation laws for the modified Boussinesq equation. (Chinese. English summary) Zbl 07404460 Math. Pract. Theory 51, No. 9, 166-170 (2021). MSC: 37K35 35Q51 35A30 PDF BibTeX XML Cite \textit{R. Wu} and \textit{Q. Zha}, Math. Pract. Theory 51, No. 9, 166--170 (2021; Zbl 07404460) OpenURL
Shen, Yali; Yao, Ruoxia; Xia, Yarong On a nonlocal Alice-Bob-Schrödinger equation: bilinear Bäcklund and Darboux transformations and nonlinear waves. (Chinese. English summary) Zbl 07403532 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 2, 370-381 (2021). MSC: 35Q51 35Q55 37K35 PDF BibTeX XML Cite \textit{Y. Shen} et al., Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 2, 370--381 (2021; Zbl 07403532) OpenURL
Rörig, Thilo; Szewieczek, Gudrun The Ribaucour families of discrete R-congruences. (English) Zbl 07402683 Geom. Dedicata 214, 251-275 (2021). Reviewer: Mehdi Rafie-Rad (Babolsar) MSC: 53A40 53B25 37K25 37K35 53A70 PDF BibTeX XML Cite \textit{T. Rörig} and \textit{G. Szewieczek}, Geom. Dedicata 214, 251--275 (2021; Zbl 07402683) Full Text: DOI arXiv OpenURL
Zhang, Mengxia; Feng, Bao-Feng; Liu, Jiawen Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation. (English) Zbl 1479.37075 Phys. Lett., A 385, Article ID 126966, 13 p. (2021). MSC: 37K10 37K35 37K06 PDF BibTeX XML Cite \textit{M. Zhang} et al., Phys. Lett., A 385, Article ID 126966, 13 p. (2021; Zbl 1479.37075) Full Text: DOI OpenURL
Wael, Shrouk; Seadawy, Aly R.; Moawad, Salah M.; El-Kalaawy, Omar H. Bilinear Bäcklund transformation, \(N\)-soliton, and infinite conservation laws for Lax-Kadomtsev-Petviashvili and generalized Korteweg-de Vries equations. (English) Zbl 1473.35098 Math. Methods Appl. Sci. 44, No. 14, 11591-11612 (2021). MSC: 35C08 35Q53 37J25 58J72 74J30 74J35 PDF BibTeX XML Cite \textit{S. Wael} et al., Math. Methods Appl. Sci. 44, No. 14, 11591--11612 (2021; Zbl 1473.35098) Full Text: DOI OpenURL
Han, Peng-Fei; Bao, Taogetusang Bäcklund transformation and some different types of N-soliton solutions to the (3 + 1)-dimensional generalized nonlinear evolution equation for the shallow-water waves. (English) Zbl 1473.35096 Math. Methods Appl. Sci. 44, No. 14, 11307-11323 (2021). MSC: 35C08 33F10 34C25 35G25 35Q35 47J35 58J72 PDF BibTeX XML Cite \textit{P.-F. Han} and \textit{T. Bao}, Math. Methods Appl. Sci. 44, No. 14, 11307--11323 (2021; Zbl 1473.35096) Full Text: DOI OpenURL
Du, Dianlou; Liu, Yuanyuan; Wang, Xue Integrable symplectic maps via reduction of Bäcklund transformation. (English. Russian original) Zbl 1477.37063 Theor. Math. Phys. 208, No. 1, 886-895 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 39-50 (2021). MSC: 37J11 37J35 37K10 37K35 35Q53 PDF BibTeX XML Cite \textit{D. Du} et al., Theor. Math. Phys. 208, No. 1, 886--895 (2021; Zbl 1477.37063); translation from Teor. Mat. Fiz. 208, No. 1, 39--50 (2021) Full Text: DOI OpenURL
Yuan, Cui-Lian; Wen, Xiao-Yong Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation. (English) Zbl 1477.37082 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105894, 14 p. (2021). MSC: 37K40 37K15 37K35 37K60 PDF BibTeX XML Cite \textit{C.-L. Yuan} and \textit{X.-Y. Wen}, Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105894, 14 p. (2021; Zbl 1477.37082) Full Text: DOI OpenURL
Zhao, Hai-qiong; Zhou, Tong Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit. (English) Zbl 1476.37087 Nonlinearity 34, No. 9, 6450-6472 (2021). MSC: 37K60 37K35 37K10 39A14 39A36 PDF BibTeX XML Cite \textit{H.-q. Zhao} and \textit{T. Zhou}, Nonlinearity 34, No. 9, 6450--6472 (2021; Zbl 1476.37087) Full Text: DOI OpenURL
Gruner, K. T. Soliton solutions of the nonlinear Schrödinger equation with defect conditions. (English) Zbl 1476.37084 Nonlinearity 34, No. 9, 6017-6049 (2021). Reviewer: Rakib Efendiev (Baku) MSC: 37K40 37K35 35Q55 PDF BibTeX XML Cite \textit{K. T. Gruner}, Nonlinearity 34, No. 9, 6017--6049 (2021; Zbl 1476.37084) Full Text: DOI arXiv OpenURL
Zhang, Ning; Xu, Xi-Xiang Notes on “Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system”. (English) Zbl 1465.37076 Int. J. Mod. Phys. B 35, No. 12, Article ID 2150141, 7 p. (2021). MSC: 37K10 37K06 37K35 PDF BibTeX XML Cite \textit{N. Zhang} and \textit{X.-X. Xu}, Int. J. Mod. Phys. B 35, No. 12, Article ID 2150141, 7 p. (2021; Zbl 1465.37076) Full Text: DOI OpenURL
Saidani, Samira; Yahiaoui, Sid-Ahmed Complementarity vs coordinate transformations: mapping between pseudo-hermiticity and weak pseudo-hermiticity. (English) Zbl 1468.81046 J. Math. Phys. 62, No. 6, 063503, 14 p. (2021). MSC: 81Q12 37K35 47B25 PDF BibTeX XML Cite \textit{S. Saidani} and \textit{S.-A. Yahiaoui}, J. Math. Phys. 62, No. 6, 063503, 14 p. (2021; Zbl 1468.81046) Full Text: DOI arXiv OpenURL
Tsegel’nik, V. V. Properties of solutions of two second-order differential equations with the Painlevé property. (English. Russian original) Zbl 1476.37079 Theor. Math. Phys. 206, No. 3, 315-320 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 361-367 (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 37J65 34M55 34M25 PDF BibTeX XML Cite \textit{V. V. Tsegel'nik}, Theor. Math. Phys. 206, No. 3, 315--320 (2021; Zbl 1476.37079); translation from Teor. Mat. Fiz. 206, No. 3, 361--367 (2021) Full Text: DOI OpenURL
Helminck, G. F.; Panasenko, E. A. Darboux transformations for the strict KP hierarchy. (English. Russian original) Zbl 1477.37079 Theor. Math. Phys. 206, No. 3, 296-314 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 339-360 (2021). Reviewer: Giulio Landolfi (Lecce) MSC: 37K35 37K10 37K25 PDF BibTeX XML Cite \textit{G. F. Helminck} and \textit{E. A. Panasenko}, Theor. Math. Phys. 206, No. 3, 296--314 (2021; Zbl 1477.37079); translation from Teor. Mat. Fiz. 206, No. 3, 339--360 (2021) Full Text: DOI OpenURL
Mao, Hui Novikov equation: Bäcklund transformation and applications. (English. Russian original) Zbl 1473.37089 Theor. Math. Phys. 206, No. 2, 163-173 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 186-198 (2021). MSC: 37K35 37K10 PDF BibTeX XML Cite \textit{H. Mao}, Theor. Math. Phys. 206, No. 2, 163--173 (2021; Zbl 1473.37089); translation from Teor. Mat. Fiz. 206, No. 2, 186--198 (2021) Full Text: DOI OpenURL
Zhao, Zhonglong; He, Lingchao Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a \((2+1)\)-dimensional KdV-mKdV equation. (English. Russian original) Zbl 1467.35297 Theor. Math. Phys. 206, No. 2, 142-162 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 164-185 (2021). MSC: 35Q53 37K10 37K35 35C08 17B80 PDF BibTeX XML Cite \textit{Z. Zhao} and \textit{L. He}, Theor. Math. Phys. 206, No. 2, 142--162 (2021; Zbl 1467.35297); translation from Teor. Mat. Fiz. 206, No. 2, 164--185 (2021) Full Text: DOI OpenURL
Amjad, Z.; Khan, D. Binary Darboux transformation for a negative-order AKNS equation. (English. Russian original) Zbl 1472.35331 Theor. Math. Phys. 206, No. 2, 128-141 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 149-163 (2021). MSC: 35Q53 35C08 37K10 37K35 37K40 PDF BibTeX XML Cite \textit{Z. Amjad} and \textit{D. Khan}, Theor. Math. Phys. 206, No. 2, 128--141 (2021; Zbl 1472.35331); translation from Teor. Mat. Fiz. 206, No. 2, 149--163 (2021) Full Text: DOI OpenURL
Han, Peng-Fei; Bao, Taogetusang Integrability aspects and some abundant solutions for a new \((4 + 1)\)-dimensional KdV-like equation. (English) Zbl 1462.35334 Int. J. Mod. Phys. B 35, No. 6, Article ID 2150079, 26 p. (2021). MSC: 35Q53 37K10 37K35 PDF BibTeX XML Cite \textit{P.-F. Han} and \textit{T. Bao}, Int. J. Mod. Phys. B 35, No. 6, Article ID 2150079, 26 p. (2021; Zbl 1462.35334) Full Text: DOI OpenURL
Dajczer, M.; Onti, C.-R.; Vlachos, Th. On constant curvature submanifolds of space forms. (English) Zbl 1472.53071 Differ. Geom. Appl. 75, Article ID 101718, 5 p. (2021). Reviewer: Yong Wei (Hefei) MSC: 53C42 53C30 58J72 PDF BibTeX XML Cite \textit{M. Dajczer} et al., Differ. Geom. Appl. 75, Article ID 101718, 5 p. (2021; Zbl 1472.53071) Full Text: DOI arXiv OpenURL
Yu, Fajun; Liu, Chunping; Li, Li Broken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equation. (English) Zbl 1464.35333 Appl. Math. Lett. 117, Article ID 107075, 8 p. (2021). MSC: 35Q55 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{F. Yu} et al., Appl. Math. Lett. 117, Article ID 107075, 8 p. (2021; Zbl 1464.35333) Full Text: DOI OpenURL
Shang, Yadong; Chen, Quting The generalized Cole-Hopf transformation for a generalized Burgers-Fisher equation with spatiotemporal variable coefficients. (English) Zbl 1462.35011 Appl. Math. Lett. 117, Article ID 107074, 8 p. (2021). MSC: 35A22 35C05 35K58 PDF BibTeX XML Cite \textit{Y. Shang} and \textit{Q. Chen}, Appl. Math. Lett. 117, Article ID 107074, 8 p. (2021; Zbl 1462.35011) Full Text: DOI OpenURL
Chetverikov, Vladimir N. Coverings and multivector pseudosymmetries of differential equations. (English) Zbl 1458.35015 Differ. Geom. Appl. 74, Article ID 101705, 14 p. (2021). MSC: 35A30 35B05 35J05 58J70 58J72 PDF BibTeX XML Cite \textit{V. N. Chetverikov}, Differ. Geom. Appl. 74, Article ID 101705, 14 p. (2021; Zbl 1458.35015) Full Text: DOI OpenURL
Ma, Wen-Xiu; Batwa, Sumayah A binary Darboux transformation for multicomponent NLS equations and their reductions. (English) Zbl 1460.37067 Anal. Math. Phys. 11, No. 2, Paper No. 44, 13 p. (2021). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K35 37K15 35Q55 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma} and \textit{S. Batwa}, Anal. Math. Phys. 11, No. 2, Paper No. 44, 13 p. (2021; Zbl 1460.37067) Full Text: DOI OpenURL
Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. (English) Zbl 1458.35371 Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021). MSC: 35Q53 35Q51 35C08 37K35 76X05 PDF BibTeX XML Cite \textit{T.-T. Jia} et al., Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021; Zbl 1458.35371) Full Text: DOI OpenURL
Szewieczek, Gudrun A duality for Guichard nets. (English) Zbl 1461.53004 Manuscr. Math. 164, No. 1-2, 193-221 (2021). Reviewer: Ergin Bayram (Samsun) MSC: 53A05 37K25 37K35 PDF BibTeX XML Cite \textit{G. Szewieczek}, Manuscr. Math. 164, No. 1--2, 193--221 (2021; Zbl 1461.53004) Full Text: DOI arXiv OpenURL
He, Xue-Jiao; Lü, Xing; Li, Meng-Gang Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation. (English) Zbl 1456.35007 Anal. Math. Phys. 11, No. 1, Paper No. 4, 24 p. (2021). MSC: 35A25 35G20 37K10 PDF BibTeX XML Cite \textit{X.-J. He} et al., Anal. Math. Phys. 11, No. 1, Paper No. 4, 24 p. (2021; Zbl 1456.35007) Full Text: DOI OpenURL
Yang, Yunqing; Suzuki, Takashi; Wang, Jianyong Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation. (English) Zbl 1458.35394 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105626, 12 p. (2021). MSC: 35Q55 35Q41 37K35 37K10 35C08 PDF BibTeX XML Cite \textit{Y. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105626, 12 p. (2021; Zbl 1458.35394) Full Text: DOI OpenURL
Lü, Xing; Hua, Yan-Fei; Chen, Si-Jia; Tang, Xian-Feng Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. (English) Zbl 1456.35073 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105612, 14 p. (2021). MSC: 35C08 58J72 37K10 PDF BibTeX XML Cite \textit{X. Lü} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105612, 14 p. (2021; Zbl 1456.35073) Full Text: DOI OpenURL
Cai, Liqiang; Cheng, Jipeng Reciprocal transformations of Harry-Dym hierarchy. (English) Zbl 1455.37059 Appl. Math. Lett. 112, Article ID 106821, 10 p. (2021). MSC: 37K35 37K10 35P30 PDF BibTeX XML Cite \textit{L. Cai} and \textit{J. Cheng}, Appl. Math. Lett. 112, Article ID 106821, 10 p. (2021; Zbl 1455.37059) Full Text: DOI OpenURL
Wen, Xiao-Yong; Wang, Hao-Tian Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz-Ladik equation of reverse-space type. (English) Zbl 1451.37091 Appl. Math. Lett. 111, Article ID 106683, 9 p. (2021). MSC: 37K35 37K60 39A36 PDF BibTeX XML Cite \textit{X.-Y. Wen} and \textit{H.-T. Wang}, Appl. Math. Lett. 111, Article ID 106683, 9 p. (2021; Zbl 1451.37091) Full Text: DOI OpenURL
Lu, Huanhuan; Zhang, Yufeng; Mei, Jianqin A generalized isospectral-nonisospectral heat equation hierarchy and its expanding integrable model. (English) Zbl 07506575 Adv. Difference Equ. 2020, Paper No. 471, 24 p. (2020). MSC: 37K15 35Q51 37K35 35K05 PDF BibTeX XML Cite \textit{H. Lu} et al., Adv. Difference Equ. 2020, Paper No. 471, 24 p. (2020; Zbl 07506575) Full Text: DOI OpenURL
Sarfraz, H.; Saleem, U. Symmetry broken and symmetry preserving multi-soliton solutions for nonlocal complex short pulse equation. (English) Zbl 07504037 Chaos Solitons Fractals 130, Article ID 109451, 8 p. (2020). MSC: 35Q51 37K35 35C08 PDF BibTeX XML Cite \textit{H. Sarfraz} and \textit{U. Saleem}, Chaos Solitons Fractals 130, Article ID 109451, 8 p. (2020; Zbl 07504037) Full Text: DOI OpenURL
Amjad, Zeeshan; Haider, Bushra Binary Darboux transformation of time-discrete generalized lattice Heisenberg magnet model. (English) Zbl 07503992 Chaos Solitons Fractals 130, Article ID 109404, 10 p. (2020). MSC: 37K35 37K40 35Q51 PDF BibTeX XML Cite \textit{Z. Amjad} and \textit{B. Haider}, Chaos Solitons Fractals 130, Article ID 109404, 10 p. (2020; Zbl 07503992) Full Text: DOI OpenURL
Du, Zhong; Tian, Bo; Qu, Qi-Xing; Chai, Han-Peng; Zhao, Xue-Hui Vector breathers for the coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber. (English) Zbl 07503991 Chaos Solitons Fractals 130, Article ID 109403, 6 p. (2020). MSC: 35Q51 35Q60 35C08 37K35 PDF BibTeX XML Cite \textit{Z. Du} et al., Chaos Solitons Fractals 130, Article ID 109403, 6 p. (2020; Zbl 07503991) Full Text: DOI OpenURL
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu; Wang, Dong Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma. (English) Zbl 1483.35207 Chaos Solitons Fractals 133, Article ID 109580, 9 p. (2020). MSC: 35Q55 37K10 37K35 PDF BibTeX XML Cite \textit{C.-C. Ding} et al., Chaos Solitons Fractals 133, Article ID 109580, 9 p. (2020; Zbl 1483.35207) Full Text: DOI OpenURL
Ye, Yanlin; Hou, Chong; Cheng, Dandan; Chen, Shihua Rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1482.37072 Phys. Lett., A 384, No. 11, Article ID 126226, 6 p. (2020). MSC: 37K35 37K45 35C08 35Q51 PDF BibTeX XML Cite \textit{Y. Ye} et al., Phys. Lett., A 384, No. 11, Article ID 126226, 6 p. (2020; Zbl 1482.37072) Full Text: DOI OpenURL
Xia, Baoqiang; Zhou, Ruguang Time-dependent defects in integrable soliton equations. (English) Zbl 1472.35341 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190652, 17 p. (2020). MSC: 35Q53 35A30 35Q55 81R12 PDF BibTeX XML Cite \textit{B. Xia} and \textit{R. Zhou}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190652, 17 p. (2020; Zbl 1472.35341) Full Text: DOI arXiv Link OpenURL
Hanif, Y.; Saleem, U. Darboux transformation and multi-soliton solutions of the discrete sine-Gordon equation. (English) Zbl 1481.39016 PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063A01, 16 p. (2020). MSC: 39A36 37K35 37K10 37K60 35Q51 PDF BibTeX XML Cite \textit{Y. Hanif} and \textit{U. Saleem}, PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063A01, 16 p. (2020; Zbl 1481.39016) Full Text: DOI arXiv OpenURL
Prorok, Dominik; Prykarpatski, Anatolij Many-particle Schrödinger type finitely factorized quantum Hamiltonian systems and their integrability. (English) Zbl 07400858 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 251-270 (2020). MSC: 17B68 17B80 58J70 58J72 PDF BibTeX XML Cite \textit{D. Prorok} and \textit{A. Prykarpatski}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 251--270 (2020; Zbl 07400858) Full Text: DOI OpenURL
Dimakis, Aristophanes; Müller-Hoissen, Folkert Differential calculi on associative algebras and integrable systems. (English) Zbl 1469.16021 Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 385-410 (2020). MSC: 16E45 16S38 37K30 58J72 PDF BibTeX XML Cite \textit{A. Dimakis} and \textit{F. Müller-Hoissen}, Springer Proc. Math. Stat. 317, 385--410 (2020; Zbl 1469.16021) Full Text: DOI arXiv OpenURL
Yao, Ruoxia; Shen, Yali; Li, Zhibin Lump solutions and bilinear Bäcklund transformation for the \((4+1)\)-dimensional Fokas equation. (English) Zbl 1475.35308 Math. Sci., Springer 14, No. 4, 301-308 (2020). MSC: 35Q53 35C05 35C08 PDF BibTeX XML Cite \textit{R. Yao} et al., Math. Sci., Springer 14, No. 4, 301--308 (2020; Zbl 1475.35308) Full Text: DOI OpenURL
Terng, Chuu-Lian The geometric Airy curve flow on \(\mathbb{R}^n\). (English) Zbl 1471.53075 Cao, Huai-Dong (ed.) et al., Differential geometry, Calabi-Yau theory, and general relativity. Lectures given at conferences celebrating the 70th birthday of Shing-Tung Yau at Harvard University, Cambridge, MA, USA, May 2019. Somerville, MA: International Press. Surv. Differ. Geom. 23, 277-303 (2020). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 53E10 53A07 37K35 58J72 58D10 PDF BibTeX XML Cite \textit{C.-L. Terng}, Surv. Differ. Geom. 23, 277--303 (2020; Zbl 1471.53075) Full Text: DOI arXiv Link OpenURL
Yuan, Feng; Zhu, Xiaoming; Wang, Yulei Deformed solitons of a typical set of (2+1)-dimensional complex modified Korteweg-de Vries equations. (English) Zbl 1467.35295 Int. J. Appl. Math. Comput. Sci. 30, No. 2, 337-350 (2020). MSC: 35Q53 37K35 35K40 35C08 PDF BibTeX XML Cite \textit{F. Yuan} et al., Int. J. Appl. Math. Comput. Sci. 30, No. 2, 337--350 (2020; Zbl 1467.35295) Full Text: DOI OpenURL
Gadzhimuradov, T. A.; Agalarov, A. M.; Radha, R.; Tamil Arasan, B. Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation. (English) Zbl 1459.35343 Nonlinear Dyn. 99, No. 2, 1295-1300 (2020). MSC: 35Q55 37K35 37K40 PDF BibTeX XML Cite \textit{T. A. Gadzhimuradov} et al., Nonlinear Dyn. 99, No. 2, 1295--1300 (2020; Zbl 1459.35343) Full Text: DOI OpenURL
Wang, Hao-Tian; Wen, Xiao-Yong Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon. (English) Zbl 1459.37061 Nonlinear Dyn. 100, No. 2, 1571-1587 (2020). MSC: 37K40 35C08 35Q55 37K35 PDF BibTeX XML Cite \textit{H.-T. Wang} and \textit{X.-Y. Wen}, Nonlinear Dyn. 100, No. 2, 1571--1587 (2020; Zbl 1459.37061) Full Text: DOI OpenURL
Li, Rong; Wang, Xiaoyi; Yan, Xihong The two types of gauge transformation for the \(q\)-KP hierarchy. (Chinese. English summary) Zbl 1474.37085 Math. Pract. Theory 50, No. 20, 213-219 (2020). MSC: 37K10 37K35 PDF BibTeX XML Cite \textit{R. Li} et al., Math. Pract. Theory 50, No. 20, 213--219 (2020; Zbl 1474.37085) OpenURL