Dajczer, M.; Onti, C.-R.; Vlachos, Th. On constant curvature submanifolds of space forms. (English) Zbl 07341149 Differ. Geom. Appl. 75, Article ID 101718, 5 p. (2021). MSC: 53C42 53C30 58J72 PDF BibTeX XML Cite \textit{M. Dajczer} et al., Differ. Geom. Appl. 75, Article ID 101718, 5 p. (2021; Zbl 07341149) Full Text: DOI
Shang, Yadong; Chen, Quting The generalized Cole-Hopf transformation for a generalized Burgers-Fisher equation with spatiotemporal variable coefficients. (English) Zbl 07340761 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 07340761) Full Text: DOI
Chetverikov, Vladimir N. Coverings and multivector pseudosymmetries of differential equations. (English) Zbl 07315193 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 07315193) Full Text: DOI
Ma, Wen-Xiu; Batwa, Sumayah A binary Darboux transformation for multicomponent NLS equations and their reductions. (English) Zbl 07311012 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 07311012) Full Text: DOI
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 07307167 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 07307167) Full Text: DOI
Szewieczek, Gudrun A duality for Guichard nets. (English) Zbl 07302647 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 07302647) Full Text: DOI
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
Yang, Yunqing; Suzuki, Takashi; Wang, Jianyong Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation. (English) Zbl 07299030 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 07299030) Full Text: DOI
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
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
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
Gadzhimuradov, T. A.; Agalarov, A. M.; Radha, R.; Tamil Arasan, B. Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation. (English) Zbl 07341818 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 07341818) Full Text: DOI
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 07341519 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 07341519) Full Text: DOI
Li, Rong; Wang, Xiaoyi; Yan, Xihong The two types of gauge transformation for the \(q\)-KP hierarchy. (Chinese. English summary) Zbl 07339412 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 07339412)
He, Guoliang; Zheng, Zhenzhen; Xu, Tao A deformed Boussinesq-type hierarchy, conservation laws and Darboux transformation. (Chinese. English summary) Zbl 07338376 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1305-1318 (2020). MSC: 35Q51 37K06 37K35 PDF BibTeX XML Cite \textit{G. He} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1305--1318 (2020; Zbl 07338376)
Gegenhasi; Hu, Xing-Biao; Li, Shi-Hao; Wang, Bao Nonsingular rational solutions to integrable models. (English) Zbl 07326228 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer (ISBN 978-3-030-56999-0/hbk; 978-3-030-57000-2/ebook). Springer Proceedings in Mathematics & Statistics 338, 79-99 (2020). MSC: 37K10 37K40 37K35 PDF BibTeX XML Cite \textit{Gegenhasi} et al., in: Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9--13, 2018. Cham: Springer. 79--99 (2020; Zbl 07326228) Full Text: DOI
Li, Chuanzhong Ghost symmetries and multi-fold Darboux transformations of extended Toda hierarchy. (English) Zbl 07316410 Chin. Ann. Math., Ser. B 41, No. 5, 697-716 (2020). MSC: 37K06 37K10 37K35 PDF BibTeX XML Cite \textit{C. Li}, Chin. Ann. Math., Ser. B 41, No. 5, 697--716 (2020; Zbl 07316410) Full Text: DOI
Ivey, Thomas A. Isometric immersions of surfaces: classical approaches and integrability. (English) Zbl 07315983 Van der Veken, Joeri (ed.) et al., Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5092-2/pbk; 978-1-4704-5666-5/ebook). Contemporary Mathematics 756, 141-154 (2020). MSC: 37K25 37K35 35H30 35L60 58A15 58J60 58J72 PDF BibTeX XML Cite \textit{T. A. Ivey}, Contemp. Math. 756, 141--154 (2020; Zbl 07315983) Full Text: DOI
Mao, Hui Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations. (English. Russian original) Zbl 07314347 Theor. Math. Phys. 205, No. 3, 1638-1651 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 451-466 (2020). MSC: 37K40 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{H. Mao}, Theor. Math. Phys. 205, No. 3, 1638--1651 (2020; Zbl 07314347); translation from Teor. Mat. Fiz. 205, No. 3, 451--466 (2020) Full Text: DOI
Chen, Xin; Zha, Qi-Lao Two synthetical five-component nonlinear integrable systems: Darboux transformations and applications. (English) Zbl 1454.35319 Int. J. Mod. Phys. B 34, No. 32, Article ID 2050314, 23 p. (2020). MSC: 35Q53 37K10 37K35 PDF BibTeX XML Cite \textit{X. Chen} and \textit{Q.-L. Zha}, Int. J. Mod. Phys. B 34, No. 32, Article ID 2050314, 23 p. (2020; Zbl 1454.35319) Full Text: DOI
Yokuş, Asıf; Kaya, Doğan Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics. (English) Zbl 1454.35329 Int. J. Mod. Phys. B 34, No. 29, Article ID 2050282, 22 p. (2020). MSC: 35Q53 35A22 35C07 65M06 PDF BibTeX XML Cite \textit{A. Yokuş} and \textit{D. Kaya}, Int. J. Mod. Phys. B 34, No. 29, Article ID 2050282, 22 p. (2020; Zbl 1454.35329) Full Text: DOI
Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. (English) Zbl 1453.37066 Physica D 402, Article ID 132252, 7 p. (2020). MSC: 37K40 37K35 35Q51 35C08 PDF BibTeX XML Cite \textit{G. Mu} et al., Physica D 402, Article ID 132252, 7 p. (2020; Zbl 1453.37066) Full Text: DOI
Riaz, H. Wajahat A. Darboux transformation and exact multisolitons for a matrix coupled dispersionless system. (English) Zbl 1451.35051 Commun. Theor. Phys. 72, No. 7, Article ID 075001, 7 p. (2020). MSC: 35C08 35A30 37K35 PDF BibTeX XML Cite \textit{H. W. A. Riaz}, Commun. Theor. Phys. 72, No. 7, Article ID 075001, 7 p. (2020; Zbl 1451.35051) Full Text: DOI
Chen, Yu-Qi; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Tian, He-Yuan; Wang, Meng Ablowitz-Kaup-Newell-Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg-de Vries equation in plasma physics, fluid dynamics or atmospheric science. (English) Zbl 1451.35158 Int. J. Mod. Phys. B 34, No. 25, Article ID 2050226, 8 p. (2020). MSC: 35Q53 35A22 35Q35 76X05 PDF BibTeX XML Cite \textit{Y.-Q. Chen} et al., Int. J. Mod. Phys. B 34, No. 25, Article ID 2050226, 8 p. (2020; Zbl 1451.35158) Full Text: DOI
Amjad, Z.; Haider, B. Multisolitons of the \(\mathrm{U}(N)\) generalized Heisenberg magnet model and the Yang-Baxter relation. (English. Russian original) Zbl 1454.82048 Theor. Math. Phys. 205, No. 2, 1426-1438 (2020); translation from Teor. Mat. Fiz. 205, No. 2, 208-221 (2020). MSC: 82D40 35C08 16T25 37K35 37K40 PDF BibTeX XML Cite \textit{Z. Amjad} and \textit{B. Haider}, Theor. Math. Phys. 205, No. 2, 1426--1438 (2020; Zbl 1454.82048); translation from Teor. Mat. Fiz. 205, No. 2, 208--221 (2020) Full Text: DOI
Zharinov, V. V. Binary relations, Bäcklund transformations, and wave packet propagation. (English. Russian original) Zbl 1453.81022 Theor. Math. Phys. 205, No. 1, 1245-1263 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 3-22 (2020). MSC: 81Q05 35Q55 81U30 35R13 58J72 PDF BibTeX XML Cite \textit{V. V. Zharinov}, Theor. Math. Phys. 205, No. 1, 1245--1263 (2020; Zbl 1453.81022); translation from Teor. Mat. Fiz. 205, No. 1, 3--22 (2020) Full Text: DOI
Zhu, Xiaoming A coupled \((2+1)\)-dimensional mKdV system and its nonlocal reductions. (English) Zbl 1455.37055 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105438, 10 p. (2020). MSC: 37K10 37K35 35Q53 35Q51 PDF BibTeX XML Cite \textit{X. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105438, 10 p. (2020; Zbl 1455.37055) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics. (English) Zbl 1448.37084 Phys. Lett., A 384, No. 31, Article ID 126788, 4 p. (2020). MSC: 37K35 35Q53 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Phys. Lett., A 384, No. 31, Article ID 126788, 4 p. (2020; Zbl 1448.37084) Full Text: DOI
Meinel, Reinhard; Kleinwächter, Andreas Bäcklund transforms of the extreme Kerr near-horizon geometry. (English) Zbl 1448.83021 Phys. Lett., A 384, No. 23, Article ID 126572, 2 p. (2020). MSC: 83C57 83C15 PDF BibTeX XML Cite \textit{R. Meinel} and \textit{A. Kleinwächter}, Phys. Lett., A 384, No. 23, Article ID 126572, 2 p. (2020; Zbl 1448.83021) Full Text: DOI
Feng, Bao-Feng; Ling, Liming; Takahashi, Daisuke A. Multi-breather and high-order rogue waves for the nonlinear Schrödinger equation on the elliptic function background. (English) Zbl 1454.35338 Stud. Appl. Math. 144, No. 1, 46-101 (2020). MSC: 35Q55 35Q41 35C08 37K35 33E05 35B40 PDF BibTeX XML Cite \textit{B.-F. Feng} et al., Stud. Appl. Math. 144, No. 1, 46--101 (2020; Zbl 1454.35338) Full Text: DOI
Ye, Rusuo; Zhang, Yi General soliton solutions to a reverse-time nonlocal nonlinear Schrödinger equation. (English) Zbl 1452.35198 Stud. Appl. Math. 145, No. 2, 197-216 (2020). MSC: 35Q55 37K35 37K40 35C05 15B05 PDF BibTeX XML Cite \textit{R. Ye} and \textit{Y. Zhang}, Stud. Appl. Math. 145, No. 2, 197--216 (2020; Zbl 1452.35198) Full Text: DOI
Chen, Si-Jia; Ma, Wen-Xiu; Lü, Xing Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation. (English) Zbl 1456.35178 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105135, 12 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 37K35 35C08 37K40 PDF BibTeX XML Cite \textit{S.-J. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105135, 12 p. (2020; Zbl 1456.35178) Full Text: DOI
Wang, Xin; Wei, Jiao; Geng, Xianguo Rational solutions for a (3+1)-dimensional nonlinear evolution equation. (English) Zbl 1450.35242 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105116, 11 p. (2020). MSC: 35Q55 35Q53 35C08 37K35 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105116, 11 p. (2020; Zbl 1450.35242) Full Text: DOI
Song, N.; Xue, H.; Xue, Y. K. Dynamics of higher-order localized waves for a coupled nonlinear Schrödinger equation. (English) Zbl 1451.35196 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105046, 14 p. (2020). MSC: 35Q55 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{N. Song} et al., Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105046, 14 p. (2020; Zbl 1451.35196) Full Text: DOI
Liu, Hsiao-Fan The star mean curvature flow on 3-sphere and hyperbolic 3-space. (English) Zbl 1451.53123 Asian J. Math. 24, No. 3, 483-500 (2020). MSC: 53E10 37K10 70E40 PDF BibTeX XML Cite \textit{H.-F. Liu}, Asian J. Math. 24, No. 3, 483--500 (2020; Zbl 1451.53123) Full Text: DOI
Fan, Fang-Cheng; Xu, Zhi-Guo; Shi, Shao-Yun \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation. (English) Zbl 1448.35431 Anal. Math. Phys. 10, No. 3, Paper No. 31, 21 p. (2020). MSC: 35Q51 35Q53 37K40 37K35 37K10 PDF BibTeX XML Cite \textit{F.-C. Fan} et al., Anal. Math. Phys. 10, No. 3, Paper No. 31, 21 p. (2020; Zbl 1448.35431) Full Text: DOI
Yokus, Asıf On the exact and numerical solutions to the FitzHugh-Nagumo equation. (English) Zbl 1443.37053 Int. J. Mod. Phys. B 34, No. 17, Article ID 2050149, 12 p. (2020). MSC: 37K35 35Q92 65M06 PDF BibTeX XML Cite \textit{A. Yokus}, Int. J. Mod. Phys. B 34, No. 17, Article ID 2050149, 12 p. (2020; Zbl 1443.37053) Full Text: DOI
Sariaydin, Muhammed T.; Korpinar, Talat An approach for vectorial moments in Euclidean 3-space. (English) Zbl 1448.53007 Honam Math. J. 42, No. 1, 187-195 (2020). MSC: 53A04 58J72 70G45 PDF BibTeX XML Cite \textit{M. T. Sariaydin} and \textit{T. Korpinar}, Honam Math. J. 42, No. 1, 187--195 (2020; Zbl 1448.53007) Full Text: DOI
Hosseini, Kamyar; Samavat, Majid; Mirzazadeh, Mohammad; Ma, Wen-Xiu; Hammouch, Zakia A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions. (English) Zbl 1450.37065 Regul. Chaotic Dyn. 25, No. 4, 383-391 (2020). MSC: 37K35 37K10 PDF BibTeX XML Cite \textit{K. Hosseini} et al., Regul. Chaotic Dyn. 25, No. 4, 383--391 (2020; Zbl 1450.37065) Full Text: DOI
Shen, Wang; Ma, Zheng-Yi; Fei, Jin-Xi; Zhu, Quan-Yong; Chen, Jun-Chao Abundant symmetry-breaking solutions of the nonlocal Alice-Bob Benjamin-Ono system. (English) Zbl 1447.35276 Complexity 2020, Article ID 2370970, 12 p. (2020). MSC: 35Q35 35Q51 76B15 35C08 37K35 37K40 81R40 PDF BibTeX XML Cite \textit{W. Shen} et al., Complexity 2020, Article ID 2370970, 12 p. (2020; Zbl 1447.35276) Full Text: DOI
Mao, Hui; Wang, Gaihua Bäcklund transformations for the Degasperis-Procesi equation. (English. Russian original) Zbl 1451.37090 Theor. Math. Phys. 203, No. 3, 747-760 (2020); translation from Teor. Mat. Fiz. 203, No. 3, 365-379 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K35 37K10 35Q51 PDF BibTeX XML Cite \textit{H. Mao} and \textit{G. Wang}, Theor. Math. Phys. 203, No. 3, 747--760 (2020; Zbl 1451.37090); translation from Teor. Mat. Fiz. 203, No. 3, 365--379 (2020) Full Text: DOI
Zhang, Cheng; Peng, Linyu; Zhang, Da-jun Discrete Crum’s theorems and lattice KdV-type equations. (English. Russian original) Zbl 1445.81020 Theor. Math. Phys. 202, No. 2, 165-182 (2020); translation from Teor. Mat. Fiz. 202, No. 2, 187-206 (2020). MSC: 81Q05 39A12 39A05 37K35 35Q53 35Q55 35P05 35P30 PDF BibTeX XML Cite \textit{C. Zhang} et al., Theor. Math. Phys. 202, No. 2, 165--182 (2020; Zbl 1445.81020); translation from Teor. Mat. Fiz. 202, No. 2, 187--206 (2020) Full Text: DOI
Cheng, Wenguang; Qiu, Deqin; Xu, Tianzhou Residual symmetry, \(n\)th Bäcklund transformation, and soliton-cnoidal wave interaction solution for the combined modified KdV-negative-order modified KdV equation. (English) Zbl 1446.35161 Math. Methods Appl. Sci. 43, No. 3, 1253-1266 (2020). MSC: 35Q51 35Q53 74J30 76M60 37K35 37K40 PDF BibTeX XML Cite \textit{W. Cheng} et al., Math. Methods Appl. Sci. 43, No. 3, 1253--1266 (2020; Zbl 1446.35161) Full Text: DOI
Li, Ruomeng; Geng, Xianguo; Xue, Bo Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. (English) Zbl 1446.35163 Math. Methods Appl. Sci. 43, No. 2, 948-967 (2020). MSC: 35Q51 37K35 37K10 PDF BibTeX XML Cite \textit{R. Li} et al., Math. Methods Appl. Sci. 43, No. 2, 948--967 (2020; Zbl 1446.35163) Full Text: DOI
Liu, Wenhao; Zhang, Yufeng; Shi, Dandan Dynamics of breather waves and rogue waves on a soliton background in the coupled Hirota systems. (English) Zbl 1446.35164 Math. Methods Appl. Sci. 43, No. 2, 799-807 (2020). MSC: 35Q51 35Q53 35C08 35C20 37K35 68W30 74J35 PDF BibTeX XML Cite \textit{W. Liu} et al., Math. Methods Appl. Sci. 43, No. 2, 799--807 (2020; Zbl 1446.35164) Full Text: DOI
Zhang, Dan-Da; van der Kamp, Peter H.; Zhang, Da-Jun Multi-component extension of CAC systems. (English) Zbl 1448.37092 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 060, 30 p. (2020). MSC: 37K60 39A36 PDF BibTeX XML Cite \textit{D.-D. Zhang} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 060, 30 p. (2020; Zbl 1448.37092) Full Text: DOI
Riaz, H. Wajahat A.; ul Hassan, Mahmood Quasi-Grammian solutions of a multi-component short pulse equation. (English) Zbl 1446.35195 J. Geom. Phys. 155, Article ID 103766, 12 p. (2020). MSC: 35Q60 35Q51 78A60 37K35 37K40 37K10 35C08 35P99 PDF BibTeX XML Cite \textit{H. W. A. Riaz} and \textit{M. ul Hassan}, J. Geom. Phys. 155, Article ID 103766, 12 p. (2020; Zbl 1446.35195) Full Text: DOI
Alrashdi, Huda; Joshi, Nalini; Tran, Dinh Thi Hierarchies of \(q\)-discrete Painlevé equations. (English) Zbl 1436.33019 J. Nonlinear Math. Phys. 27, No. 3, 453-477 (2020). MSC: 33E17 34M55 37K35 34K17 PDF BibTeX XML Cite \textit{H. Alrashdi} et al., J. Nonlinear Math. Phys. 27, No. 3, 453--477 (2020; Zbl 1436.33019) Full Text: DOI
Klein, Sebastian; Kilian, Martin On closed finite gap curves in spaceforms. II. (English) Zbl 07210462 J. Integrable Sys. 5, Article ID xyaa002, 25 p. (2020). MSC: 53A04 37K10 37K15 30D15 46E35 22E46 PDF BibTeX XML Cite \textit{S. Klein} and \textit{M. Kilian}, J. Integrable Sys. 5, Article ID xyaa002, 25 p. (2020; Zbl 07210462) Full Text: DOI
Yan, Xue-Wei Lax pair, Darboux-dressing transformation and localized waves of the coupled mixed derivative nonlinear Schrödinger equation in a birefringent optical fiber. (English) Zbl 1442.35433 Appl. Math. Lett. 107, Article ID 106414, 5 p. (2020). MSC: 35Q55 78A60 35C08 35C20 37K35 PDF BibTeX XML Cite \textit{X.-W. Yan}, Appl. Math. Lett. 107, Article ID 106414, 5 p. (2020; Zbl 1442.35433) Full Text: DOI
Lan, Zhong-Zhou Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber. (English) Zbl 1442.35424 Appl. Math. Lett. 107, Article ID 106382, 6 p. (2020). MSC: 35Q55 78A60 68W30 37K35 PDF BibTeX XML Cite \textit{Z.-Z. Lan}, Appl. Math. Lett. 107, Article ID 106382, 6 p. (2020; Zbl 1442.35424) Full Text: DOI
Du, Zhong; Tian, Bo; Chai, Han-Peng; Zhao, Xue-Hui Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber. (English) Zbl 1439.78012 Appl. Math. Lett. 102, Article ID 106110, 8 p. (2020). MSC: 78A60 35Q55 35C08 37K35 37K40 PDF BibTeX XML Cite \textit{Z. Du} et al., Appl. Math. Lett. 102, Article ID 106110, 8 p. (2020; Zbl 1439.78012) Full Text: DOI
Zhao, Dan; Zhaqilao On two new types of modified short pulse equation. (English) Zbl 1434.37042 Nonlinear Dyn. 100, No. 1, 615-627 (2020). MSC: 37K35 PDF BibTeX XML Cite \textit{D. Zhao} and \textit{Zhaqilao}, Nonlinear Dyn. 100, No. 1, 615--627 (2020; Zbl 1434.37042) Full Text: DOI
Avramidi, Ivan G. Bogolyubov invariant via relative spectral invariants on manifolds. (English) Zbl 1439.81079 J. Math. Phys. 61, No. 3, 032303, 24 p. (2020). MSC: 81T20 81V74 81V73 35Q41 37K35 83F05 PDF BibTeX XML Cite \textit{I. G. Avramidi}, J. Math. Phys. 61, No. 3, 032303, 24 p. (2020; Zbl 1439.81079) Full Text: DOI
Schulze-Halberg, Axel Higher-order Darboux transformations and Wronskian representations for Schrödinger equations with quadratically energy-dependent potentials. (English) Zbl 1439.81042 J. Math. Phys. 61, No. 2, 023503, 15 p. (2020). MSC: 81Q05 37K35 PDF BibTeX XML Cite \textit{A. Schulze-Halberg}, J. Math. Phys. 61, No. 2, 023503, 15 p. (2020; Zbl 1439.81042) Full Text: DOI
Geng, Xianguo; Li, Ruomeng; Xue, Bo A vector general nonlinear Schrödinger equation with \((m+n)\) components. (English) Zbl 1437.35627 J. Nonlinear Sci. 30, No. 3, 991-1013 (2020). MSC: 35Q55 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{X. Geng} et al., J. Nonlinear Sci. 30, No. 3, 991--1013 (2020; Zbl 1437.35627) Full Text: DOI
Xu, Ling; Wang, Deng-Shan; Wen, Xiao-Yong; Jiang, Yao-Lin Exotic localized vector waves in a two-component nonlinear wave system. (English) Zbl 1440.37068 J. Nonlinear Sci. 30, No. 2, 537-564 (2020). MSC: 37K45 37K35 37K10 37K15 37K40 35C07 PDF BibTeX XML Cite \textit{L. Xu} et al., J. Nonlinear Sci. 30, No. 2, 537--564 (2020; Zbl 1440.37068) Full Text: DOI
Du, Zhong; Tian, Bo; Qu, Qi-Xing; Wu, Xiao-Yu; Zhao, Xue-Hui Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium. (English) Zbl 1437.35622 Appl. Numer. Math. 153, 179-187 (2020). MSC: 35Q55 35Q51 78A60 37K40 37K35 PDF BibTeX XML Cite \textit{Z. Du} et al., Appl. Numer. Math. 153, 179--187 (2020; Zbl 1437.35622) Full Text: DOI
Meng, Gao-Qing High-order semi-rational solutions for the coherently coupled nonlinear Schrödinger equations with the positive coherent coupling. (English) Zbl 1437.35638 Appl. Math. Lett. 105, Article ID 106343, 6 p. (2020). MSC: 35Q55 35Q51 37K35 37K40 PDF BibTeX XML Cite \textit{G.-Q. Meng}, Appl. Math. Lett. 105, Article ID 106343, 6 p. (2020; Zbl 1437.35638) Full Text: DOI
Wu, Huiling; Song, Junfeng; Zhu, Quanyong Nonlocal residual symmetries and exact interaction solutions for the generalized dispersive water waves system. (English) Zbl 1436.35024 Appl. Math. Lett. 105, Article ID 106336, 7 p. (2020). MSC: 35B06 35Q35 35G55 PDF BibTeX XML Cite \textit{H. Wu} et al., Appl. Math. Lett. 105, Article ID 106336, 7 p. (2020; Zbl 1436.35024) Full Text: DOI
Guo, Rui; Jia, Rong-Rong Rogue wave solutions for the \((2+1)\)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch system. (English) Zbl 1439.35427 Appl. Math. Lett. 105, Article ID 106284, 6 p. (2020). MSC: 35Q53 35Q60 78A60 37K35 37K40 PDF BibTeX XML Cite \textit{R. Guo} and \textit{R.-R. Jia}, Appl. Math. Lett. 105, Article ID 106284, 6 p. (2020; Zbl 1439.35427) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng Residual symmetries and Bäcklund transformations of \((2+1)\)-dimensional strongly coupled Burgers system. (English) Zbl 1435.35024 Adv. Math. Phys. 2020, Article ID 6821690, 8 p. (2020). MSC: 35B06 35F50 58J72 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Zhang}, Adv. Math. Phys. 2020, Article ID 6821690, 8 p. (2020; Zbl 1435.35024) Full Text: DOI
Jia, Man Symmetry analysis, Bäcklund transformations, and interaction solutions for an AB modified KdV system. (English) Zbl 1435.35022 Adv. Math. Phys. 2020, Article ID 4652126, 13 p. (2020). MSC: 35B06 35Q53 58J72 PDF BibTeX XML Cite \textit{M. Jia}, Adv. Math. Phys. 2020, Article ID 4652126, 13 p. (2020; Zbl 1435.35022) Full Text: DOI
Ferraioli, Diego Catalano; Silva, Tarcísio Castro; Tenenblat, Keti A class of quasilinear second order partial differential equations which describe spherical or pseudospherical surfaces. (English) Zbl 1436.53009 J. Differ. Equations 268, No. 11, 7164-7182 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53A10 35G20 35Q53 58J72 53A05 PDF BibTeX XML Cite \textit{D. C. Ferraioli} et al., J. Differ. Equations 268, No. 11, 7164--7182 (2020; Zbl 1436.53009) Full Text: DOI
Li, Ruomeng; Geng, Xianguo; Xue, Bo A generalization of the Landau-Lifschitz equation: breathers and rogue waves. (English) Zbl 1436.37086 J. Nonlinear Math. Phys. 27, No. 2, 279-294 (2020). MSC: 37K35 35Q51 35Q53 PDF BibTeX XML Cite \textit{R. Li} et al., J. Nonlinear Math. Phys. 27, No. 2, 279--294 (2020; Zbl 1436.37086) Full Text: DOI
Hertrich-Jeromin, Udo; Rossman, Wayne; Szewieczek, Gudrun Discrete channel surfaces. (English) Zbl 1437.53010 Math. Z. 294, No. 1-2, 747-767 (2020). Reviewer: Dorin Andrica (Riyadh) MSC: 53A40 53C42 37K35 37K25 53A70 PDF BibTeX XML Cite \textit{U. Hertrich-Jeromin} et al., Math. Z. 294, No. 1--2, 747--767 (2020; Zbl 1437.53010) Full Text: DOI
Shi, Xujie; Lv, Pei; Qi, Cheng Explicit solutions to a nonlocal 2-component complex modified Korteweg-de Vries equation. (English) Zbl 1431.35157 Appl. Math. Lett. 100, Article ID 106043, 7 p. (2020). MSC: 35Q53 35C08 37K35 PDF BibTeX XML Cite \textit{X. Shi} et al., Appl. Math. Lett. 100, Article ID 106043, 7 p. (2020; Zbl 1431.35157) Full Text: DOI
Wang, Hao-Tian; Wen, Xiao-Yong Dynamics of discrete soliton propagation and elastic interaction in a higher-order coupled Ablowitz-Ladik equation. (English) Zbl 1426.37054 Appl. Math. Lett. 100, Article ID 106013, 8 p. (2020). MSC: 37K60 37K40 37K35 PDF BibTeX XML Cite \textit{H.-T. Wang} and \textit{X.-Y. Wen}, Appl. Math. Lett. 100, Article ID 106013, 8 p. (2020; Zbl 1426.37054) Full Text: DOI
Huang, Qing; Zhdanov, Renat Realizations of the Witt and Virasoro algebras and integrable equations. (English) Zbl 1436.17035 J. Nonlinear Math. Phys. 27, No. 1, 36-56 (2020). MSC: 17B68 37K06 37K30 37K35 17B65 35A30 PDF BibTeX XML Cite \textit{Q. Huang} and \textit{R. Zhdanov}, J. Nonlinear Math. Phys. 27, No. 1, 36--56 (2020; Zbl 1436.17035) Full Text: DOI
Yang, Yunqing; Suzuki, Takashi; Cheng, Xueping Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1428.35542 Appl. Math. Lett. 99, Article ID 105998, 8 p. (2020). MSC: 35Q55 37K35 35C09 35C08 37K10 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Lett. 99, Article ID 105998, 8 p. (2020; Zbl 1428.35542) Full Text: DOI
Zhang, Yongshuai; Rao, Jiguang; Cheng, Yi; He, Jingsong Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole. (English) Zbl 1453.37063 Physica D 399, 173-185 (2019). MSC: 37K35 37K40 35C08 35P25 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Physica D 399, 173--185 (2019; Zbl 1453.37063) Full Text: DOI
Hu, Ya-Hong; Ma, Zheng-Yi; Chen, Li Residual symmetry of the Alice-Bob modified Korteweg-de Vries equation. (English) Zbl 1452.35170 Commun. Theor. Phys. 71, No. 5, 489-495 (2019). MSC: 35Q53 35B06 PDF BibTeX XML Cite \textit{Y.-H. Hu} et al., Commun. Theor. Phys. 71, No. 5, 489--495 (2019; Zbl 1452.35170) Full Text: DOI
Shen, Ya-Li; Yao, Ruo-Xia; Li, Yan New bilinear Bäcklund transformation and higher order rogue waves with controllable center of a generalized \((3+1)\)-dimensional nonlinear wave equation. (English) Zbl 1452.35091 Commun. Theor. Phys. 71, No. 2, 161-169 (2019). MSC: 35L25 37K35 76B15 PDF BibTeX XML Cite \textit{Y.-L. Shen} et al., Commun. Theor. Phys. 71, No. 2, 161--169 (2019; Zbl 1452.35091) Full Text: DOI
Mao, Hui; Zhang, Mengxia On two \((2+1)\)-dimensional supersymmetric integrable systems: Bäcklund transformations and Lax pairs. (Chinese. English summary) Zbl 07266330 Acta Math. Appl. Sin. 42, No. 5, 712-720 (2019). MSC: 37K05 37K10 37K35 PDF BibTeX XML Cite \textit{H. Mao} and \textit{M. Zhang}, Acta Math. Appl. Sin. 42, No. 5, 712--720 (2019; Zbl 07266330)
Orhan, Özlem; Torrisi, Mariano; Tracinà, Rita Group methods applied to a reaction-diffusion system generalizing Proteus Mirabilis models. (English) Zbl 07264690 Commun. Nonlinear Sci. Numer. Simul. 70, 223-233 (2019). MSC: 92D25 35A30 58J72 58J70 35B06 PDF BibTeX XML Cite \textit{Ö. Orhan} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 223--233 (2019; Zbl 07264690) Full Text: DOI
Cheng, Jipeng; He, Jingsong Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases. (English) Zbl 07263951 Commun. Nonlinear Sci. Numer. Simul. 69, 187-197 (2019). MSC: 35Q51 37K10 37K40 PDF BibTeX XML Cite \textit{J. Cheng} and \textit{J. He}, Commun. Nonlinear Sci. Numer. Simul. 69, 187--197 (2019; Zbl 07263951) Full Text: DOI
Guo, Ding; Tian, Shou-Fu; Zhang, Tian-Tian Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation. (English) Zbl 1442.37085 Comput. Math. Appl. 77, No. 3, 770-778 (2019). MSC: 37K40 35A30 35C08 82C10 82D40 PDF BibTeX XML Cite \textit{D. Guo} et al., Comput. Math. Appl. 77, No. 3, 770--778 (2019; Zbl 1442.37085) Full Text: DOI
Yan, Zhaowen; Gao, Bian; Chen, Minru; Cui, Jifeng On the higher order Heisenberg supermagnet model in (2+1)-dimensions. (English) Zbl 1442.35014 Chaos Solitons Fractals 118, 94-105 (2019). MSC: 35A30 35Q55 35Q40 PDF BibTeX XML Cite \textit{Z. Yan} et al., Chaos Solitons Fractals 118, 94--105 (2019; Zbl 1442.35014) Full Text: DOI
Fan, Fang-Cheng; Shi, Shao-Yun; Xu, Zhi-Guo A hierarchy of integrable differential-difference equations and Darboux transformation. (English) Zbl 1441.37072 Rep. Math. Phys. 84, No. 3, 289-301 (2019). MSC: 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{F.-C. Fan} et al., Rep. Math. Phys. 84, No. 3, 289--301 (2019; Zbl 1441.37072) Full Text: DOI
He, Guoliang; Zheng, Zhenzhen A novel hierarchy of differential equations, conservation laws and Darboux transformation. (Chinese. English summary) Zbl 1449.35305 J. Zhengzhou Univ., Nat. Sci. Ed. 51, No. 4, 116-122 (2019). MSC: 35L65 37K35 PDF BibTeX XML Cite \textit{G. He} and \textit{Z. Zheng}, J. Zhengzhou Univ., Nat. Sci. Ed. 51, No. 4, 116--122 (2019; Zbl 1449.35305) Full Text: DOI
Xu, Tao; Chen, Yong Semirational solutions to the coupled Fokas-Lenells equations. (English) Zbl 1439.37072 Nonlinear Dyn. 95, No. 1, 87-99 (2019). MSC: 37K35 35C05 35Q51 PDF BibTeX XML Cite \textit{T. Xu} and \textit{Y. Chen}, Nonlinear Dyn. 95, No. 1, 87--99 (2019; Zbl 1439.37072) Full Text: DOI
Zhang, Yan; Liu, Yinping Breather and lump solutions for nonlocal Davey-Stewartson II equation. (English) Zbl 1437.37091 Nonlinear Dyn. 96, No. 1, 107-113 (2019). MSC: 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. Liu}, Nonlinear Dyn. 96, No. 1, 107--113 (2019; Zbl 1437.37091) Full Text: DOI
Nikolić, Stanko N.; Ashour, Omar A.; Aleksić, Najdan B.; Belić, Milivoj R.; Chin, Siu A. Breathers, solitons and rogue waves of the quintic nonlinear Schrödinger equation on various backgrounds. (English) Zbl 1437.35639 Nonlinear Dyn. 95, No. 4, 2855-2865 (2019). MSC: 35Q55 35C08 37K35 PDF BibTeX XML Cite \textit{S. N. Nikolić} et al., Nonlinear Dyn. 95, No. 4, 2855--2865 (2019; Zbl 1437.35639) Full Text: DOI
Redkina, Tatyana V.; Zakinyan, Robert G.; Zakinyan, Arthur R.; Surneva, Olesya B.; Yanovskaya, Olga S. Bäcklund transformations for nonlinear differential equations and systems. (English) Zbl 1432.35187 Axioms 8, No. 2, Paper No. 45, 18 p. (2019). MSC: 35Q53 37K35 37K10 PDF BibTeX XML Cite \textit{T. V. Redkina} et al., Axioms 8, No. 2, Paper No. 45, 18 p. (2019; Zbl 1432.35187) Full Text: DOI
Hay, Mike; Hone, Andrew N. W.; Novikov, Vladimir S.; Wang, Jing Ping Remarks on certain two-component systems with peakon solutions. (English) Zbl 1435.35329 J. Geom. Mech. 11, No. 4, 561-573 (2019). MSC: 35Q51 35G50 35Q53 37K35 35C08 PDF BibTeX XML Cite \textit{M. Hay} et al., J. Geom. Mech. 11, No. 4, 561--573 (2019; Zbl 1435.35329) Full Text: DOI
Xu, Shuwei; He, Jingsong; Mihalache, Dumitru Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation. (English) Zbl 1430.35215 Nonlinear Dyn. 97, No. 4, 2443-2452 (2019). MSC: 35Q55 35C07 37K55 37K35 PDF BibTeX XML Cite \textit{S. Xu} et al., Nonlinear Dyn. 97, No. 4, 2443--2452 (2019; Zbl 1430.35215) Full Text: DOI
Song, Wenjuan; Xu, Shuwei; Li, Maohua; He, Jingsong Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation. (English) Zbl 1430.35212 Nonlinear Dyn. 97, No. 4, 2135-2145 (2019). MSC: 35Q55 37K35 37K40 35C08 PDF BibTeX XML Cite \textit{W. Song} et al., Nonlinear Dyn. 97, No. 4, 2135--2145 (2019; Zbl 1430.35212) Full Text: DOI
Wang, Xin; Wei, Jiao; Wang, Lei; Zhang, Jianlin Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation. (English) Zbl 1430.37077 Nonlinear Dyn. 97, No. 1, 343-353 (2019). MSC: 37K10 35Q55 37K35 37K40 35C08 35Q51 PDF BibTeX XML Cite \textit{X. Wang} et al., Nonlinear Dyn. 97, No. 1, 343--353 (2019; Zbl 1430.37077) Full Text: DOI
Ma, Yu-Lan Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers. (English) Zbl 1430.35210 Nonlinear Dyn. 97, No. 1, 95-105 (2019). MSC: 35Q55 78A60 35C08 37K40 37K35 35Q51 PDF BibTeX XML Cite \textit{Y.-L. Ma}, Nonlinear Dyn. 97, No. 1, 95--105 (2019; Zbl 1430.35210) Full Text: DOI
Hanif, Y.; Saleem, U. Broken and unbroken \(\mathcal{PT}\)-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation. (English) Zbl 1430.37084 Nonlinear Dyn. 98, No. 1, 233-244 (2019). MSC: 37K40 35Q55 37K35 35B06 PDF BibTeX XML Cite \textit{Y. Hanif} and \textit{U. Saleem}, Nonlinear Dyn. 98, No. 1, 233--244 (2019; Zbl 1430.37084) Full Text: DOI
Wang, Minmin; Chen, Yong Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system. (English) Zbl 1430.37076 Nonlinear Dyn. 98, No. 3, 1781-1794 (2019). MSC: 37K10 37K35 PDF BibTeX XML Cite \textit{M. Wang} and \textit{Y. Chen}, Nonlinear Dyn. 98, No. 3, 1781--1794 (2019; Zbl 1430.37076) Full Text: DOI
Xu, Tao; He, Guoliang Higher-order interactional solutions and rogue wave pairs for the coupled Lakshmanan-Porsezian-Daniel equations. (English) Zbl 1430.37082 Nonlinear Dyn. 98, No. 3, 1731-1744 (2019). MSC: 37K35 37K40 PDF BibTeX XML Cite \textit{T. Xu} and \textit{G. He}, Nonlinear Dyn. 98, No. 3, 1731--1744 (2019; Zbl 1430.37082) Full Text: DOI
Robaszewska, Maria On analogues of Bäcklund theorem in affine differential geometry of surfaces. (English) Zbl 1444.53014 J. Geom. Symmetry Phys. 54, 79-110 (2019). Reviewer: Friedrich Manhart (Wien) MSC: 53A15 53B05 58J72 PDF BibTeX XML Cite \textit{M. Robaszewska}, J. Geom. Symmetry Phys. 54, 79--110 (2019; Zbl 1444.53014) Full Text: DOI Euclid
Hao, Xiaohong; Cheng, Zhilong The integrability of the KdV-shallow water waves equation. (Chinese. English summary) Zbl 1449.35380 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 3, 451-460 (2019). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{X. Hao} and \textit{Z. Cheng}, Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 3, 451--460 (2019; Zbl 1449.35380)
Cheng, Li; Zhang, Yi; Lin, Mei-Juan Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations. (English) Zbl 1433.35333 Anal. Math. Phys. 9, No. 4, 1741-1752 (2019). Reviewer: Jipeng Cheng (Xuzhou) MSC: 35Q53 35A30 37K40 37K35 35C08 PDF BibTeX XML Cite \textit{L. Cheng} et al., Anal. Math. Phys. 9, No. 4, 1741--1752 (2019; Zbl 1433.35333) Full Text: DOI
Ma, Wen-Xiu A Darboux transformation for the Volterra lattice equation. (English) Zbl 1435.35331 Anal. Math. Phys. 9, No. 4, 1711-1718 (2019). Reviewer: Jipeng Cheng (Xuzhou) MSC: 35Q51 35Q53 37K40 37K35 37K60 37K10 15A18 35A22 PDF BibTeX XML Cite \textit{W.-X. Ma}, Anal. Math. Phys. 9, No. 4, 1711--1718 (2019; Zbl 1435.35331) Full Text: DOI
Fan, Fangcheng; Shi, Shaoyun; Xu, Zhiguo Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system. (English) Zbl 1428.37064 Int. J. Mod. Phys. B 33, No. 14, Article ID 1950147, 16 p. (2019). MSC: 37K10 37K06 37K35 PDF BibTeX XML Cite \textit{F. Fan} et al., Int. J. Mod. Phys. B 33, No. 14, Article ID 1950147, 16 p. (2019; Zbl 1428.37064) Full Text: DOI
Carillo, Sandra; Zullo, Federico The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions. (English) Zbl 1441.35013 Ric. Mat. 68, No. 2, 503-512 (2019). MSC: 35A24 49K15 37K35 58J72 35Q55 PDF BibTeX XML Cite \textit{S. Carillo} and \textit{F. Zullo}, Ric. Mat. 68, No. 2, 503--512 (2019; Zbl 1441.35013) Full Text: DOI
Thiam, Lamine; Liu, Xi-zhong Residual symmetry reduction and consistent Riccati expansion to a nonlinear evolution equation. (English) Zbl 1435.35023 Complexity 2019, Article ID 6503564, 9 p. (2019). MSC: 35B06 35Q53 58J72 35C08 PDF BibTeX XML Cite \textit{L. Thiam} and \textit{X.-z. Liu}, Complexity 2019, Article ID 6503564, 9 p. (2019; Zbl 1435.35023) Full Text: DOI
Lu, Rong-Wu; Xu, Xi-Xiang; Zhang, Ning Construction of solutions for an integrable differential-difference equation by Darboux-Bäcklund transformation. (English) Zbl 1428.34005 Appl. Math. Comput. 361, 389-397 (2019). MSC: 34A05 34A25 35A30 37K10 37K35 PDF BibTeX XML Cite \textit{R.-W. Lu} et al., Appl. Math. Comput. 361, 389--397 (2019; Zbl 1428.34005) Full Text: DOI