Guo, Ming-Juan; Wen, Xiao-Yong; Liu, Xue-Ke Various types of discrete exact localized wave solutions and dynamical analysis for the discrete complex modified Korteweg-de Vries equation. (English) Zbl 07825049 Wave Motion 125, Article ID 103260, 16 p. (2024). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{M.-J. Guo} et al., Wave Motion 125, Article ID 103260, 16 p. (2024; Zbl 07825049) Full Text: DOI
Dong, Hao-Nan; Zhaqilao Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations. (English) Zbl 07825048 Wave Motion 125, Article ID 103259, 15 p. (2024). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{H.-N. Dong} and \textit{Zhaqilao}, Wave Motion 125, Article ID 103259, 15 p. (2024; Zbl 07825048) Full Text: DOI
Yilmaz, Halis Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation. (English) Zbl 07825041 Wave Motion 124, Article ID 103245, 14 p. (2024). MSC: 35-XX 81-XX PDFBibTeX XMLCite \textit{H. Yilmaz}, Wave Motion 124, Article ID 103245, 14 p. (2024; Zbl 07825041) Full Text: DOI
Song, N.; Liu, R.; Guo, M. M.; Ma, W. X. Localized waves solutions for the fifth-order coupled extended modified KdV equation. (English) Zbl 07825040 Wave Motion 124, Article ID 103244, 7 p. (2024). MSC: 35C07 35Q53 PDFBibTeX XMLCite \textit{N. Song} et al., Wave Motion 124, Article ID 103244, 7 p. (2024; Zbl 07825040) Full Text: DOI
Li, Nianhua; Li, Hongmin Integrable generalization of the modified Camassa-Holm equation in \(2 + 1\) dimensions. (English) Zbl 07825037 Wave Motion 124, Article ID 103235, 7 p. (2024). MSC: 35C08 35Q51 37K35 PDFBibTeX XMLCite \textit{N. Li} and \textit{H. Li}, Wave Motion 124, Article ID 103235, 7 p. (2024; Zbl 07825037) Full Text: DOI
Tang, Wang; Yu, Guo-Fu; Shen, Shou-Feng Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation. (English) Zbl 07825036 Wave Motion 124, Article ID 103234, 17 p. (2024). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{W. Tang} et al., Wave Motion 124, Article ID 103234, 17 p. (2024; Zbl 07825036) Full Text: DOI
Casper, W. Riley; Grünbaum, F. Alberto; Yakimov, Milen; Zurrián, Ignacio Matrix valued discrete-continuous functions with the prolate spheroidal property and bispectrality. (English) Zbl 07824841 Commun. Math. Phys. 405, No. 3, Paper No. 69, 36 p. (2024). MSC: 33E10 33C80 58J72 PDFBibTeX XMLCite \textit{W. R. Casper} et al., Commun. Math. Phys. 405, No. 3, Paper No. 69, 36 p. (2024; Zbl 07824841) Full Text: DOI arXiv
Song, Caiqin; Zhao, Hai-qiong; Zhu, Zuo-nong Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties. (English) Zbl 07812534 Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024). MSC: 35Q55 35Q41 35Q51 35C08 37K10 37K15 37K35 35B34 35C05 PDFBibTeX XMLCite \textit{C. Song} et al., Z. Angew. Math. Phys. 75, No. 2, Paper No. 46, 18 p. (2024; Zbl 07812534) Full Text: DOI
Song, Jiang-Yan; Xiao, Yu; Zhang, Chi-Ping Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space-time Fokas-Lenells equation. (English) Zbl 07809670 Appl. Math. Lett. 150, Article ID 108971, 6 p. (2024). MSC: 35G25 35A22 35C05 35C08 PDFBibTeX XMLCite \textit{J.-Y. Song} et al., Appl. Math. Lett. 150, Article ID 108971, 6 p. (2024; Zbl 07809670) Full Text: DOI
Ling, Liming; Zhang, Xiaoen Large and infinite-order solitons of the coupled nonlinear Schrödinger equation. (English) Zbl 07808035 Physica D 457, Article ID 133981, 43 p. (2024). MSC: 35Q55 35Q41 35Q15 35C08 35B40 37K10 37K35 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Zhang}, Physica D 457, Article ID 133981, 43 p. (2024; Zbl 07808035) Full Text: DOI arXiv
Wang, Xiubin; Tian, Shoufu Darboux-dressing transformation and semirational solution to the coupled Sasa-Satsuma equation. (English) Zbl 07802107 Acta Math. Appl. Sin. 47, No. 1, 124-138 (2024). MSC: 35Q58 35Q53 PDFBibTeX XMLCite \textit{X. Wang} and \textit{S. Tian}, Acta Math. Appl. Sin. 47, No. 1, 124--138 (2024; Zbl 07802107) Full Text: Link
Li, Yu-Yue; Zhou, Zi-Xiang Exact solutions for two dimensional \(D_n^{(1)}\) Toda equation. (English) Zbl 07793593 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107792, 21 p. (2024). MSC: 35Q51 37K10 PDFBibTeX XMLCite \textit{Y.-Y. Li} and \textit{Z.-X. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107792, 21 p. (2024; Zbl 07793593) Full Text: DOI
Ling, Liming; Sun, Xuan Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation. (English) Zbl 1528.35161 Appl. Math. Lett. 148, Article ID 108866, 9 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 14H42 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Appl. Math. Lett. 148, Article ID 108866, 9 p. (2024; Zbl 1528.35161) Full Text: DOI
Lan, Zhong-Zhou Semirational rogue waves of the three coupled higher-order nonlinear Schrödinger equations. (English) Zbl 1528.35160 Appl. Math. Lett. 147, Article ID 108845, 6 p. (2024). MSC: 35Q55 35Q41 35C08 37K35 81V55 PDFBibTeX XMLCite \textit{Z.-Z. Lan}, Appl. Math. Lett. 147, Article ID 108845, 6 p. (2024; Zbl 1528.35160) Full Text: DOI
Wen, Xiao-Yong; Liu, Xue-Ke Modulational instability and rogue wave solutions for the mixed focusing-defocusing semi-discrete coherently coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair. (English) Zbl 1528.35170 Appl. Math. Lett. 147, Article ID 108841, 7 p. (2024). MSC: 35Q55 35Q41 35C08 35C09 37K10 37K35 PDFBibTeX XMLCite \textit{X.-Y. Wen} and \textit{X.-K. Liu}, Appl. Math. Lett. 147, Article ID 108841, 7 p. (2024; Zbl 1528.35170) Full Text: DOI
Niu, Jia-Xue; Guo, Rui; Zhang, Jian-Wen Solutions on the periodic background and transition state mechanisms for the higher-order Chen-Lee-Liu equation. (English) Zbl 07825035 Wave Motion 123, Article ID 103233, 21 p. (2023). MSC: 35-XX 78-XX PDFBibTeX XMLCite \textit{J.-X. Niu} et al., Wave Motion 123, Article ID 103233, 21 p. (2023; Zbl 07825035) Full Text: DOI
Zhen, Yanpei Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects. (English) Zbl 07825020 Wave Motion 123, Article ID 103209, 8 p. (2023). MSC: 35-XX 76-XX PDFBibTeX XMLCite \textit{Y. Zhen}, Wave Motion 123, Article ID 103209, 8 p. (2023; Zbl 07825020) Full Text: DOI
Cho, Joseph; Leschke, Katrin; Ogata, Yuta Periodic discrete Darboux transforms. (English) Zbl 07812465 Differ. Geom. Appl. 91, Article ID 102065, 25 p. (2023). MSC: 53A70 53A04 58J72 PDFBibTeX XMLCite \textit{J. Cho} et al., Differ. Geom. Appl. 91, Article ID 102065, 25 p. (2023; Zbl 07812465) Full Text: DOI arXiv
Sakhnovich, Alexander Dressing for Fokker-Planck equations: the cases of \(1+1\) and \(1+\ell\) dimensions. (English) Zbl 07803254 J. Math. Phys. Anal. Geom. 19, No. 2, 503-521 (2023). MSC: 35Q84 35A30 15A16 37K35 PDFBibTeX XMLCite \textit{A. Sakhnovich}, J. Math. Phys. Anal. Geom. 19, No. 2, 503--521 (2023; Zbl 07803254) Full Text: DOI
Ge, Jingjing; Li, Chuanzhong On the nonlocal third-order inhomogeneous Heisenberg spin system with self-consistent potential. (English) Zbl 07795056 Int. J. Geom. Methods Mod. Phys. 20, No. 11, Article ID 2350187, 26 p. (2023). MSC: 37K10 37K35 35Q61 35Q60 PDFBibTeX XMLCite \textit{J. Ge} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 20, No. 11, Article ID 2350187, 26 p. (2023; Zbl 07795056) Full Text: DOI
Asadi, Esmaeel; Riaz, H. W. A.; Ganjkhanloo, Mohammad Ali Generalized Darboux transformation for nonlinear Schrödinger system on general Hermitian symmetric spaces and rogue wave solutions. (English) Zbl 07792342 Int. J. Geom. Methods Mod. Phys. 20, No. 8, Article ID 2350127, 26 p. (2023). MSC: 35Q55 35Q41 35C08 37K10 70H06 37K25 37K35 35A02 PDFBibTeX XMLCite \textit{E. Asadi} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 8, Article ID 2350127, 26 p. (2023; Zbl 07792342) Full Text: DOI
Yang, Qianqian; Li, Chuanzhong Darboux transformation and soliton solutions of the nonlocal Heisenberg spin system with self-consistent potential. (English) Zbl 07792338 Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350123, 16 p. (2023). MSC: 37K10 37K35 35Q53 35Q51 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350123, 16 p. (2023; Zbl 07792338) Full Text: DOI
Zhai, Yunyun; Hu, Xinghua; Ji, Ting; Wei, Jiao; Li, Yihao Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds. (English) Zbl 07789833 Math. Methods Appl. Sci. 46, No. 16, 17328-17344 (2023). MSC: 35Q55 35Q51 37K40 37K10 PDFBibTeX XMLCite \textit{Y. Zhai} et al., Math. Methods Appl. Sci. 46, No. 16, 17328--17344 (2023; Zbl 07789833) Full Text: DOI
Yan, Shu; Li, Chuanzhong Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell-Bloch system. (English) Zbl 07787135 Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350062, 23 p. (2023). MSC: 37K35 37K10 35Q51 78A60 PDFBibTeX XMLCite \textit{S. Yan} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350062, 23 p. (2023; Zbl 07787135) Full Text: DOI
Rybkin, Alexei A continuous analog of the binary Darboux transformation for the Korteweg-de Vries equation. (English) Zbl 07778798 Stud. Appl. Math. 151, No. 1, 208-246 (2023). MSC: 35Q53 35Q15 37K15 37K35 PDFBibTeX XMLCite \textit{A. Rybkin}, Stud. Appl. Math. 151, No. 1, 208--246 (2023; Zbl 07778798) Full Text: DOI arXiv
Guo, Lijuan; Wang, Lihong; Chen, Lei; He, Jingsong Dynamics of the rogue lump in the asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 07778792 Stud. Appl. Math. 151, No. 1, 35-59 (2023). MSC: 35Q35 35Q86 76B25 76Q05 86A05 35C08 37K15 PDFBibTeX XMLCite \textit{L. Guo} et al., Stud. Appl. Math. 151, No. 1, 35--59 (2023; Zbl 07778792) Full Text: DOI
Ling, Liming; Sun, Xuan The multi elliptic-localized solutions and their asymptotic behaviors for the mKdV equation. (English) Zbl 07778763 Stud. Appl. Math. 150, No. 1, 135-183 (2023). MSC: 35Q53 35B40 37K35 35C08 11F27 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Stud. Appl. Math. 150, No. 1, 135--183 (2023; Zbl 07778763) Full Text: DOI arXiv
Fan, Fangcheng; Xie, Weikang A generalized integrable lattice hierarchy related to the Ablowitz-Ladik lattice: conservation law, Darboux transformation and exact solution. (English) Zbl 1527.35351 Rev. Math. Phys. 35, No. 10, Article ID 2350033, 17 p. (2023). MSC: 35Q53 37K06 37K10 37K60 PDFBibTeX XMLCite \textit{F. Fan} and \textit{W. Xie}, Rev. Math. Phys. 35, No. 10, Article ID 2350033, 17 p. (2023; Zbl 1527.35351) Full Text: DOI
Li, Miao; Zhang, Yi; Ye, Rusuo; Lou, Yu Rational soliton solutions in the nonlocal coupled complex modified Korteweg-de Vries equations. (English) Zbl 07773894 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2155-2162 (2023). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{M. Li} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 6, 2155--2162 (2023; Zbl 07773894) Full Text: DOI
Yang, Jun; Zhu, Yunlong Rational solitons and rogue waves for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 07763972 Phys. Lett., A 487, Article ID 129117, 10 p. (2023). MSC: 81Q80 35Q05 35C08 35A18 15A15 65S05 PDFBibTeX XMLCite \textit{J. Yang} and \textit{Y. Zhu}, Phys. Lett., A 487, Article ID 129117, 10 p. (2023; Zbl 07763972) Full Text: DOI
Li, Yan; Li, Jian; Wang, Ruiqi Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation. (English) Zbl 1523.35118 Nonlinear Dyn. 111, No. 1, 745-751 (2023). MSC: 35C08 35Q51 35Q15 37K10 PDFBibTeX XMLCite \textit{Y. Li} et al., Nonlinear Dyn. 111, No. 1, 745--751 (2023; Zbl 1523.35118) Full Text: DOI
Feng, Lian-li; Zhu, Zuo-nong Darboux transformation and soliton solutions for a nonlocal two-component complex modified Korteweg-de Vries equation. (English) Zbl 1523.37078 J. Nonlinear Math. Phys. 30, No. 3, 1011-1031 (2023). MSC: 37K35 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{L.-l. Feng} and \textit{Z.-n. Zhu}, J. Nonlinear Math. Phys. 30, No. 3, 1011--1031 (2023; Zbl 1523.37078) Full Text: DOI OA License
Li, Li; Yu, Fajun; Yu, Jiaming Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber. (English) Zbl 1524.35620 Wave Motion 122, Article ID 103207, 12 p. (2023). MSC: 35Q60 35Q55 78A60 PDFBibTeX XMLCite \textit{L. Li} et al., Wave Motion 122, Article ID 103207, 12 p. (2023; Zbl 1524.35620) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Liu, Fei-Yan On a variable-coefficient AB system in a baroclinic flow: generalized Darboux transformation and non-autonomous localized waves. (English) Zbl 1524.35484 Wave Motion 122, Article ID 103184, 16 p. (2023). MSC: 35Q35 47N20 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Wave Motion 122, Article ID 103184, 16 p. (2023; Zbl 1524.35484) Full Text: DOI
Han, Guangfu; Li, Xinyue; Zhao, Qiulan Localized wave solutions and mixed interaction structures in the AB system. (English) Zbl 1524.35118 Wave Motion 121, Article ID 103179, 10 p. (2023). MSC: 35C08 35A22 35Q53 35Q51 37K35 PDFBibTeX XMLCite \textit{G. Han} et al., Wave Motion 121, Article ID 103179, 10 p. (2023; Zbl 1524.35118) Full Text: DOI
Lou, Yu; Zhang, Wenyun; Zhang, Yi; Xu, Guoan Hybrid structures of localized waves for the coupled extended mKdV equation. (English) Zbl 1524.35543 Wave Motion 120, Article ID 103142, 15 p. (2023). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y. Lou} et al., Wave Motion 120, Article ID 103142, 15 p. (2023; Zbl 1524.35543) Full Text: DOI
Shi, Xinrui; Yang, Yunqing Exact solutions and Darboux transformation for the reverse space-time nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1524.35553 Wave Motion 119, Article ID 103141, 10 p. (2023). MSC: 35Q53 35Q55 35C08 37K15 37K10 PDFBibTeX XMLCite \textit{X. Shi} and \textit{Y. Yang}, Wave Motion 119, Article ID 103141, 10 p. (2023; Zbl 1524.35553) Full Text: DOI
Fan, Fang-Cheng; Xu, Zhi-Guo Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation. (English) Zbl 1524.35526 Wave Motion 119, Article ID 103139, 9 p. (2023). MSC: 35Q53 37K10 35Q55 35Q51 PDFBibTeX XMLCite \textit{F.-C. Fan} and \textit{Z.-G. Xu}, Wave Motion 119, Article ID 103139, 9 p. (2023; Zbl 1524.35526) Full Text: DOI
Li, Zitian; Xu, Shuwei The rogue wave type solutions from multiple solitons interactions in the rotating reduced Maxwell-Bloch equations. (English) Zbl 1522.35485 Appl. Math. Lett. 146, Article ID 108826, 7 p. (2023). MSC: 35Q60 35Q55 35C08 37K40 78A60 78M34 PDFBibTeX XMLCite \textit{Z. Li} and \textit{S. Xu}, Appl. Math. Lett. 146, Article ID 108826, 7 p. (2023; Zbl 1522.35485) Full Text: DOI
Zhang, Lixiang; Li, Chuanzhong Extensions and generalizations of lattice Gelfand-Dickey hierarchy. (English) Zbl 1527.37074 Math. Phys. Anal. Geom. 26, No. 3, Paper No. 18, 47 p. (2023). MSC: 37K10 37K60 37K40 39A36 39A14 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{C. Li}, Math. Phys. Anal. Geom. 26, No. 3, Paper No. 18, 47 p. (2023; Zbl 1527.37074) Full Text: DOI
Agafonov, Sergey I. Darboux integrability for diagonal systems of hydrodynamic type. (English) Zbl 1521.35009 Nonlinearity 36, No. 9, 4709-4739 (2023). MSC: 35A30 35L60 35L65 53A25 PDFBibTeX XMLCite \textit{S. I. Agafonov}, Nonlinearity 36, No. 9, 4709--4739 (2023; Zbl 1521.35009) Full Text: DOI arXiv
Amjad, Zeeshan; Haider, Bushra Solitons and quasi-Grammians of the generalized lattice Heisenberg magnet model. (English) Zbl 1519.37094 Commun. Theor. Phys. 75, No. 8, Article ID 085004, 12 p. (2023). MSC: 37K60 37K35 39A36 PDFBibTeX XMLCite \textit{Z. Amjad} and \textit{B. Haider}, Commun. Theor. Phys. 75, No. 8, Article ID 085004, 12 p. (2023; Zbl 1519.37094) Full Text: DOI
Feng, Lian-li; Zhu, Zuo-nong Soliton solutions for a two-component generalized Sasa-Satsuma equation. (English) Zbl 1519.35262 Commun. Theor. Phys. 75, No. 7, Article ID 075004, 15 p. (2023). MSC: 35Q51 37K10 35C08 PDFBibTeX XMLCite \textit{L.-l. Feng} and \textit{Z.-n. Zhu}, Commun. Theor. Phys. 75, No. 7, Article ID 075004, 15 p. (2023; Zbl 1519.35262) Full Text: DOI
Cui, Xiao-Qi; Wen, Xiao-Yong; Zhang, Bing-Jiang Modulational instability and location controllable lump solutions with mixed interaction phenomena for the \((2+1)\)-dimensional Myrzakulov-Lakshmanan-IV equation. (English) Zbl 1519.37090 J. Nonlinear Math. Phys. 30, No. 2, 600-627 (2023). MSC: 37K45 37K35 37K40 35B35 35Q51 PDFBibTeX XMLCite \textit{X.-Q. Cui} et al., J. Nonlinear Math. Phys. 30, No. 2, 600--627 (2023; Zbl 1519.37090) Full Text: DOI
Rybkin, Alexei Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equation. (English) Zbl 07719625 Commun. Math. Phys. 401, No. 3, 2433-2458 (2023). MSC: 35Q53 35Q55 37K15 37K35 35C08 35C07 35P10 PDFBibTeX XMLCite \textit{A. Rybkin}, Commun. Math. Phys. 401, No. 3, 2433--2458 (2023; Zbl 07719625) Full Text: DOI arXiv
Li, Li; Liu, Yiyan; Yu, Fajun \(N\)-fold Darboux transformation and exact solutions for the nonlocal Fokas-Lenells equation on the vanishing and plane wave backgrounds. (English) Zbl 07715014 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1023-1035 (2023). MSC: 35Q55 37K10 35C08 PDFBibTeX XMLCite \textit{L. Li} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1023--1035 (2023; Zbl 07715014) Full Text: DOI
Liu, Rui; Zhang, Hai-Qiang; Wei, Yun-Chun; Zhang, Yan Multi-breather and high-order rogue waves for the quintic nonlinear Schrödinger equation on the elliptic function background. (English) Zbl 1524.35593 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107314, 20 p. (2023). MSC: 35Q55 PDFBibTeX XMLCite \textit{R. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107314, 20 p. (2023; Zbl 1524.35593) Full Text: DOI
Zhang, Tian-Tian; Zhang, Ling-Di Dynamic behaviors of vector breather waves and higher-order rogue waves in the coupled Gerdjikov-Ivanov equation. (English) Zbl 07708848 Appl. Math. Lett. 143, Article ID 108691, 8 p. (2023). MSC: 35Q53 35Q55 35C08 37K35 41A58 PDFBibTeX XMLCite \textit{T.-T. Zhang} and \textit{L.-D. Zhang}, Appl. Math. Lett. 143, Article ID 108691, 8 p. (2023; Zbl 07708848) Full Text: DOI
Liu, Ya-Hui; Hao, Hui-Qin; Zhang, Jian-Wen Rogue wave solutions on different periodic backgrounds for the \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain equation. (English) Zbl 07707939 J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127421, 15 p. (2023). MSC: 35Q55 35Q82 82D40 82C20 35C08 37K35 33E05 PDFBibTeX XMLCite \textit{Y.-H. Liu} et al., J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127421, 15 p. (2023; Zbl 07707939) Full Text: DOI
Yang, Yingmin; Xia, Tiecheng; Liu, Tongshuai Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation. (English) Zbl 1514.35419 Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023). MSC: 35Q55 35C08 37K35 35Q15 37K10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023; Zbl 1514.35419) Full Text: DOI
Zhao, Hai-qiong; Zhou, Tong Darboux transformation and exact solutions of a four-component Volterra lattice system. (English) Zbl 1521.37078 Appl. Math. Lett. 140, Article ID 108591, 7 p. (2023). MSC: 37K10 37K60 37K35 39A14 39A36 PDFBibTeX XMLCite \textit{H.-q. Zhao} and \textit{T. Zhou}, Appl. Math. Lett. 140, Article ID 108591, 7 p. (2023; Zbl 1521.37078) Full Text: DOI
Deng, Bo-Jie; Hao, Hui-Qin Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation. (English) Zbl 1519.35320 Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023). MSC: 35Q82 82D40 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{B.-J. Deng} and \textit{H.-Q. Hao}, Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023; Zbl 1519.35320) Full Text: DOI
Schulze-Halberg, Axel Darboux algorithms for two-dimensional Dirac equations with upper triangular potential matrix. (English) Zbl 07698183 J. Comput. Appl. Math. 427, Article ID 115143, 18 p. (2023). MSC: 81R25 35Q05 15A22 PDFBibTeX XMLCite \textit{A. Schulze-Halberg}, J. Comput. Appl. Math. 427, Article ID 115143, 18 p. (2023; Zbl 07698183) Full Text: DOI
Lin, Zhe; Wen, Xiao-Yong Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation. (English) Zbl 1517.35011 Physica D 451, Article ID 133770, 19 p. (2023). MSC: 35A22 35C05 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{X.-Y. Wen}, Physica D 451, Article ID 133770, 19 p. (2023; Zbl 1517.35011) Full Text: DOI
Li, Nianhua A new 3-component Degasperis-Procesi hierarchy. (English) Zbl 07695172 Physica D 449, Article ID 133763, 9 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{N. Li}, Physica D 449, Article ID 133763, 9 p. (2023; Zbl 07695172) Full Text: DOI arXiv
Cheng, Qiaoyuan; Fan, Engui The Fokas-Lenells equation on the line: global well-posedness with solitons. (English) Zbl 1517.35145 J. Differ. Equations 366, 320-344 (2023). MSC: 35P25 35C08 35G25 35Q15 35Q51 PDFBibTeX XMLCite \textit{Q. Cheng} and \textit{E. Fan}, J. Differ. Equations 366, 320--344 (2023; Zbl 1517.35145) Full Text: DOI arXiv
Xie, Wei-Kang; Fan, Fang-Cheng Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation. (English) Zbl 1518.39008 J. Math. Anal. Appl. 525, No. 2, Article ID 127251, 18 p. (2023). MSC: 39A36 39A14 39A12 35Q53 37K35 37K60 35C08 PDFBibTeX XMLCite \textit{W.-K. Xie} and \textit{F.-C. Fan}, J. Math. Anal. Appl. 525, No. 2, Article ID 127251, 18 p. (2023; Zbl 1518.39008) Full Text: DOI
Shen, Yuan; Tian, Bo; Yang, Dan-Yu; Zhou, Tian-Yu Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions. (English) Zbl 1511.35306 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 74, 15 p. (2023). MSC: 35Q51 35C08 37K10 37K40 37K60 37K35 PDFBibTeX XMLCite \textit{Y. Shen} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 74, 15 p. (2023; Zbl 1511.35306) Full Text: DOI
Müller-Hoissen, Folkert A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy. (English) Zbl 1511.35010 J. Phys. A, Math. Theor. 56, No. 12, Article ID 125701, 21 p. (2023). MSC: 35A22 35C08 35G20 PDFBibTeX XMLCite \textit{F. Müller-Hoissen}, J. Phys. A, Math. Theor. 56, No. 12, Article ID 125701, 21 p. (2023; Zbl 1511.35010) Full Text: DOI arXiv
Han, Guangfu; Li, Xinyue; Zhao, Qiulan; Li, Chuanzhong Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation. (English) Zbl 1510.35121 Physica D 446, Article ID 133671, 11 p. (2023). MSC: 35G25 35Q35 35Q53 35Q55 PDFBibTeX XMLCite \textit{G. Han} et al., Physica D 446, Article ID 133671, 11 p. (2023; Zbl 1510.35121) Full Text: DOI
Wang, Xin; He, Jingsong Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation. (English) Zbl 1510.35011 Physica D 446, Article ID 133639, 20 p. (2023). MSC: 35A22 35C08 PDFBibTeX XMLCite \textit{X. Wang} and \textit{J. He}, Physica D 446, Article ID 133639, 20 p. (2023; Zbl 1510.35011) Full Text: DOI
Riaz, H. W. A. Noncommutative generalization and quasi-Gramian solutions of the Hirota equation. (English. Russian original) Zbl 1516.37084 Theor. Math. Phys. 214, No. 2, 194-206 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 224-238 (2023). MSC: 37K10 35Q51 35Q53 35Q55 37K35 PDFBibTeX XMLCite \textit{H. W. A. Riaz}, Theor. Math. Phys. 214, No. 2, 194--206 (2023; Zbl 1516.37084); translation from Teor. Mat. Fiz. 214, No. 2, 224--238 (2023) Full Text: DOI
Ye, Rusuo; Zhang, Yi Two-component complex modified Korteweg-de Vries equations: new soliton solutions from novel binary Darboux transformation. (English. Russian original) Zbl 1516.37111 Theor. Math. Phys. 214, No. 2, 183-193 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 211-223 (2023). MSC: 37K35 37K10 35Q53 PDFBibTeX XMLCite \textit{R. Ye} and \textit{Y. Zhang}, Theor. Math. Phys. 214, No. 2, 183--193 (2023; Zbl 1516.37111); translation from Teor. Mat. Fiz. 214, No. 2, 211--223 (2023) Full Text: DOI
Inam, A.; ul Hassan, M. Exact solitons of an \(N\)-component discrete coupled integrable system. (English. Russian original) Zbl 1516.37127 Theor. Math. Phys. 214, No. 1, 36-71 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 43-80 (2023). MSC: 37K60 37K10 39A36 39A14 37K35 PDFBibTeX XMLCite \textit{A. Inam} and \textit{M. ul Hassan}, Theor. Math. Phys. 214, No. 1, 36--71 (2023; Zbl 1516.37127); translation from Teor. Mat. Fiz. 214, No. 1, 43--80 (2023) Full Text: DOI
Terng, Chuu-Lian; Wu, Zhiwei Darboux transformations for the \(\hat{A}_{2n}^{(2)}\)-KdV hierarchy. (English) Zbl 1517.37073 J. Geom. Anal. 33, No. 4, Paper No. 111, 28 p. (2023). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K35 37K10 37K30 37K40 35Q53 81R10 PDFBibTeX XMLCite \textit{C.-L. Terng} and \textit{Z. Wu}, J. Geom. Anal. 33, No. 4, Paper No. 111, 28 p. (2023; Zbl 1517.37073) Full Text: DOI
Shi, Wei; Zhaqilao Higher-order mixed solution and breather solution on a periodic background for the Kundu equation. (English) Zbl 1508.35112 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023). MSC: 35Q51 35Q55 35C08 37K35 41A58 PDFBibTeX XMLCite \textit{W. Shi} and \textit{Zhaqilao}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107134, 14 p. (2023; Zbl 1508.35112) Full Text: DOI
Sun, Hai-Ying; Zhaqilao Rogue waves, modulation instability of the \((2+1)\)-dimensional complex modified Korteweg-de Vries equation on the periodic background. (English) Zbl 1524.35554 Wave Motion 116, Article ID 103073, 11 p. (2023). MSC: 35Q53 35Q55 35C08 76B15 37K10 PDFBibTeX XMLCite \textit{H.-Y. Sun} and \textit{Zhaqilao}, Wave Motion 116, Article ID 103073, 11 p. (2023; Zbl 1524.35554) Full Text: DOI
Wu, Lifei; Zhang, Yi Solutions to the complex shifted reverse space-time modified Korteweg-de Vries equation. (English) Zbl 1518.83111 Phys. Lett., A 460, Article ID 128616, 8 p. (2023). MSC: 83F05 47B37 35Q05 35Q53 70H33 PDFBibTeX XMLCite \textit{L. Wu} and \textit{Y. Zhang}, Phys. Lett., A 460, Article ID 128616, 8 p. (2023; Zbl 1518.83111) Full Text: DOI
Ling, Liming; Sun, Xuan On the elliptic-localized solutions of the sine-Gordon equation. (English) Zbl 1505.35010 Physica D 444, Article ID 133597, 17 p. (2023). MSC: 35A22 35C05 35C08 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Physica D 444, Article ID 133597, 17 p. (2023; Zbl 1505.35010) Full Text: DOI
Xu, Tao; He, Guoliang; Wang, Ming; Wang, Yanqing Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation. (English) Zbl 1509.35289 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023). MSC: 35Q55 35Q41 78A60 35C08 37K35 37K10 PDFBibTeX XMLCite \textit{T. Xu} et al., Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023; Zbl 1509.35289) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice. (English) Zbl 1504.35124 Appl. Math. Lett. 137, Article ID 108476, 6 p. (2023). MSC: 35C08 35A22 PDFBibTeX XMLCite \textit{X.-H. Wu} and \textit{Y.-T. Gao}, Appl. Math. Lett. 137, Article ID 108476, 6 p. (2023; Zbl 1504.35124) Full Text: DOI
Guan, Xue; Yang, Hujiang; Meng, Xiankui; Liu, Wenjun Higher-order rogue waves solutions of the modified Gerdjikov-Ivanov equation with dispersion via generalized Darboux transformation. (English) Zbl 1504.35010 Appl. Math. Lett. 136, Article ID 108466, 5 p. (2023). MSC: 35A22 35Q60 PDFBibTeX XMLCite \textit{X. Guan} et al., Appl. Math. Lett. 136, Article ID 108466, 5 p. (2023; Zbl 1504.35010) Full Text: DOI
Li, Bang-Qing; Ma, Yu-Lan A complex short pulse system in optical-fiber communications: rogue waves and phase transitions. (English) Zbl 1498.78033 Appl. Math. Lett. 135, Article ID 108399, 7 p. (2023). MSC: 78A60 35Q60 37K35 37K40 37K10 35C08 PDFBibTeX XMLCite \textit{B.-Q. Li} and \textit{Y.-L. Ma}, Appl. Math. Lett. 135, Article ID 108399, 7 p. (2023; Zbl 1498.78033) Full Text: DOI
Fan, Fangcheng Discrete \(N\)-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice. (English) Zbl 07818864 Int. J. Geom. Methods Mod. Phys. 19, No. 3, Article ID 2250040, 14 p. (2022). MSC: 37K10 35Q51 37K40 PDFBibTeX XMLCite \textit{F. Fan}, Int. J. Geom. Methods Mod. Phys. 19, No. 3, Article ID 2250040, 14 p. (2022; Zbl 07818864) Full Text: DOI
Yang, Qianqian; Li, Chuanzhong Liouville integrability and explicit solutions for a Frobenius-coupled integrable lattice hierarchy. (English) Zbl 07812807 Math. Methods Appl. Sci. 45, No. 17, 11916-11929 (2022). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{C. Li}, Math. Methods Appl. Sci. 45, No. 17, 11916--11929 (2022; Zbl 07812807) Full Text: DOI
Sakhnovich, Alexander Einstein, \(\sigma\)-model and Ernst-type equations and non-isospectral GBDT version of Darboux transformation. (English) Zbl 07798951 Adv. Theor. Math. Phys. 26, No. 9, 3319-3343 (2022). MSC: 35Q76 35Q75 83C05 83C10 81T10 37K35 37K10 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Adv. Theor. Math. Phys. 26, No. 9, 3319--3343 (2022; Zbl 07798951) Full Text: DOI arXiv
Liu, Nan; Wen, Xiao-Yong; Wang, Deng-Shan Dynamics of higher-order rational and semi-rational soliton solutions of the coupled modified KdV lattice equation. (English) Zbl 07781384 Math. Methods Appl. Sci. 45, No. 16, 9396-9437 (2022). MSC: 35Q53 35Q51 37K10 PDFBibTeX XMLCite \textit{N. Liu} et al., Math. Methods Appl. Sci. 45, No. 16, 9396--9437 (2022; Zbl 07781384) Full Text: DOI
Wang, Lihong; He, Jingsong; Erdélyi, Róbert Rational solutions of multi-component nonlinear Schrödinger equation and complex modified KdV equation. (English) Zbl 07780972 Math. Methods Appl. Sci. 45, No. 9, 5086-5110 (2022). MSC: 35Q55 35Q41 35Q53 35C08 37K35 37K40 15A18 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Methods Appl. Sci. 45, No. 9, 5086--5110 (2022; Zbl 07780972) Full Text: DOI
Rosas-Ortiz, Oscar; Cruz y. Cruz, Sara Superpositions of bright and dark solitons supporting the creation of balanced gain-and-loss optical potentials. (English) Zbl 07780598 Math. Methods Appl. Sci. 45, No. 7, 3381-3392 (2022). MSC: 81Q60 81V80 81Q05 PDFBibTeX XMLCite \textit{O. Rosas-Ortiz} and \textit{S. Cruz y. Cruz}, Math. Methods Appl. Sci. 45, No. 7, 3381--3392 (2022; Zbl 07780598) Full Text: DOI arXiv
Rybkin, Alexei The binary Darboux transformation revisited and KdV solitons on arbitrary short-range backgrounds. (English) Zbl 07776400 Stud. Appl. Math. 148, No. 1, 141-153 (2022). MSC: 35Q53 35Q15 35Q55 35C08 37K15 37K35 34L40 PDFBibTeX XMLCite \textit{A. Rybkin}, Stud. Appl. Math. 148, No. 1, 141--153 (2022; Zbl 07776400) Full Text: DOI
Chen, Su-Su; Tian, Bo; Zhang, Chen-Rong Odd-fold Darboux transformation, breather, rogue-wave and semirational solutions on the periodic background for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma. (English) Zbl 07768758 Ann. Phys., Berlin 534, No. 1, Article ID 2100231, 14 p. (2022). MSC: 81-XX PDFBibTeX XMLCite \textit{S.-S. Chen} et al., Ann. Phys., Berlin 534, No. 1, Article ID 2100231, 14 p. (2022; Zbl 07768758) Full Text: DOI
Liu, Xue-Ke; Wen, Xiao-Yong A discrete KdV equation hierarchy: continuous limit, diverse exact solutions and their asymptotic state analysis. (English) Zbl 1514.39011 Commun. Theor. Phys. 74, No. 6, Article ID 065001, 14 p. (2022). MSC: 39A36 39A14 39A12 37K35 PDFBibTeX XMLCite \textit{X.-K. Liu} and \textit{X.-Y. Wen}, Commun. Theor. Phys. 74, No. 6, Article ID 065001, 14 p. (2022; Zbl 1514.39011) Full Text: DOI
Shi, Wei; Zhaqilao Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background. (English) Zbl 1514.35412 Commun. Theor. Phys. 74, No. 5, Article ID 055001, 9 p. (2022). MSC: 35Q55 35C07 35C08 PDFBibTeX XMLCite \textit{W. Shi} and \textit{Zhaqilao}, Commun. Theor. Phys. 74, No. 5, Article ID 055001, 9 p. (2022; Zbl 1514.35412) Full Text: DOI
Mao, Jin-Jin; Tian, Shou-Fu; Xu, Tian-Zhou; Shi, Lin-Fei Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrödinger equation with zero/nonzero boundary conditions. (English) Zbl 1511.37081 Commun. Theor. Phys. 74, No. 8, Article ID 085007, 13 p. (2022). MSC: 37K15 35Q55 PDFBibTeX XMLCite \textit{J.-J. Mao} et al., Commun. Theor. Phys. 74, No. 8, Article ID 085007, 13 p. (2022; Zbl 1511.37081) Full Text: DOI
Guo, Lijuan; Kevrekidis, P. G.; He, Jingsong Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation. (English) Zbl 1511.35079 J. Phys. A, Math. Theor. 55, No. 47, Article ID 475701, 17 p. (2022). MSC: 35C08 35Q51 PDFBibTeX XMLCite \textit{L. Guo} et al., J. Phys. A, Math. Theor. 55, No. 47, Article ID 475701, 17 p. (2022; Zbl 1511.35079) Full Text: DOI arXiv
Zhao, Qiulan; Song, Huijie; Li, Xinyue Higher-order rogue wave solutions of the \((2+1)\)-dimensional Fokas-Lenells equation. (English) Zbl 1524.35514 Wave Motion 115, Article ID 103065, 12 p. (2022). MSC: 35Q51 35Q55 37K10 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Wave Motion 115, Article ID 103065, 12 p. (2022; Zbl 1524.35514) Full Text: DOI
Dafounansou, O.; Mbah, D. C.; Kamdoum, F. L. Taussé; Njock, M. G. Kwato Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu-Eckhaus equations. (English) Zbl 1524.35115 Wave Motion 114, Article ID 103041, 18 p. (2022). MSC: 35C08 35Q55 37K35 PDFBibTeX XMLCite \textit{O. Dafounansou} et al., Wave Motion 114, Article ID 103041, 18 p. (2022; Zbl 1524.35115) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Hu, Lei; Li, Liu-Qing Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1524.35564 Wave Motion 114, Article ID 103036, 16 p. (2022). MSC: 35Q53 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Wave Motion 114, Article ID 103036, 16 p. (2022; Zbl 1524.35564) Full Text: DOI
Ji, Jia-Liang; Kai, Yue; Xu, Zong-Wei; Ma, Li-Yuan On a coupled nonlocal nonlinear Schrödinger system. (English) Zbl 1508.35153 Chaos Solitons Fractals 164, Article ID 112761, 7 p. (2022). MSC: 35Q55 35Q51 35C08 PDFBibTeX XMLCite \textit{J.-L. Ji} et al., Chaos Solitons Fractals 164, Article ID 112761, 7 p. (2022; Zbl 1508.35153) Full Text: DOI
Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions. (English) Zbl 1508.35159 Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022). MSC: 35Q55 37K10 37K35 37K40 PDFBibTeX XMLCite \textit{Y. Shen} et al., Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022; Zbl 1508.35159) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui \(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium. (English) Zbl 1508.35114 Chaos Solitons Fractals 165, Part 2, Article ID 112786, 7 p. (2022). MSC: 35Q51 35C08 37K40 37K35 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Chaos Solitons Fractals 165, Part 2, Article ID 112786, 7 p. (2022; Zbl 1508.35114) Full Text: DOI
Monisha, S.; Vishnu Priya, N.; Senthilvelan, M.; Rajasekar, S. Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. (English) Zbl 1506.35211 Chaos Solitons Fractals 162, Article ID 112433, 12 p. (2022). MSC: 35Q55 35C08 37K35 PDFBibTeX XMLCite \textit{S. Monisha} et al., Chaos Solitons Fractals 162, Article ID 112433, 12 p. (2022; Zbl 1506.35211) Full Text: DOI arXiv
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Li, Liu-Qing Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1506.35193 Chaos Solitons Fractals 162, Article ID 112399, 10 p. (2022). MSC: 35Q51 35A30 37K35 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Chaos Solitons Fractals 162, Article ID 112399, 10 p. (2022; Zbl 1506.35193) Full Text: DOI
Li, Bang-Qing; Ma, Yu-Lan Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems. (English) Zbl 1506.35189 Chaos Solitons Fractals 156, Article ID 111832, 7 p. (2022). MSC: 35Q51 35C08 37K35 37K40 35A30 PDFBibTeX XMLCite \textit{B.-Q. Li} and \textit{Y.-L. Ma}, Chaos Solitons Fractals 156, Article ID 111832, 7 p. (2022; Zbl 1506.35189) Full Text: DOI
Yang, Dan-Yu; Tian, Bo; Tian, He-Yuan; Wei, Cheng-Cheng; Shan, Wen-Rui; Jiang, Yan Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. (English) Zbl 1506.78011 Chaos Solitons Fractals 156, Article ID 111719, 9 p. (2022). MSC: 78A60 37K35 35Q55 35C08 PDFBibTeX XMLCite \textit{D.-Y. Yang} et al., Chaos Solitons Fractals 156, Article ID 111719, 9 p. (2022; Zbl 1506.78011) Full Text: DOI
Ma, Yu-Lan; Li, Bang-Qing Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations. (English) Zbl 1505.35317 Chaos Solitons Fractals 159, Article ID 112179, 7 p. (2022). MSC: 35Q51 35Q74 35C08 78A60 PDFBibTeX XMLCite \textit{Y.-L. Ma} and \textit{B.-Q. Li}, Chaos Solitons Fractals 159, Article ID 112179, 7 p. (2022; Zbl 1505.35317) Full Text: DOI
Gaillard, Pierre Families of solutions to the KPI equation given by an extended Darboux transformation. (English) Zbl 1504.35138 SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 80, 14 p. (2022). MSC: 35G25 35A22 PDFBibTeX XMLCite \textit{P. Gaillard}, SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 80, 14 p. (2022; Zbl 1504.35138) Full Text: DOI
Li, Xinyue; Zhang, Zhixin; Zhao, Qiulan; Li, Chuanzhong Darboux transformation of two novel two-component generalized complex short pulse equations. (English) Zbl 07633024 Rep. Math. Phys. 90, No. 2, 157-184 (2022). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{X. Li} et al., Rep. Math. Phys. 90, No. 2, 157--184 (2022; Zbl 07633024) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation. (English) Zbl 1504.35501 Physica D 442, Article ID 133528, 8 p. (2022). MSC: 35Q55 35B36 35P25 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{S.-F. Tian}, Physica D 442, Article ID 133528, 8 p. (2022; Zbl 1504.35501) Full Text: DOI
Sun, Wen-Rong; Liu, Meng-Meng Rogue waves of wave resonant-interaction equations with the higher-order effects. (English) Zbl 1512.76022 Phys. Lett., A 456, Article ID 128539, 9 p. (2022). MSC: 76B15 35Q35 35A18 35J47 PDFBibTeX XMLCite \textit{W.-R. Sun} and \textit{M.-M. Liu}, Phys. Lett., A 456, Article ID 128539, 9 p. (2022; Zbl 1512.76022) Full Text: DOI