Zhang, Xiao-Fan; Tian, Shou-Fu; Yang, Jin-Jie; Zhang, Tian-Tian Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation. (English) Zbl 07820015 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 113, 25 p. (2024). MSC: 34-XX 37-XX PDFBibTeX XMLCite \textit{X.-F. Zhang} et al., Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 113, 25 p. (2024; Zbl 07820015) Full Text: DOI arXiv
Zhang, Ling; Hu, Bei-Bei; Shen, Zu-Yi Riemann-Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg-de Vries equation with step-like initial data. (English) Zbl 07801173 J. Math. Phys. 65, No. 1, Article ID 013507, 11 p. (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Math. Phys. 65, No. 1, Article ID 013507, 11 p. (2024; Zbl 07801173) Full Text: DOI
Hu, Beibei; Shen, Zuyi; Zhang, Ling; Fang, Fang Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data. (English) Zbl 1528.35159 Appl. Math. Lett. 148, Article ID 108885, 8 p. (2024). MSC: 35Q55 35Q15 37K10 37K15 37K35 35B40 35C08 PDFBibTeX XMLCite \textit{B. Hu} et al., Appl. Math. Lett. 148, Article ID 108885, 8 p. (2024; Zbl 1528.35159) 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
Zhang, Yongshuai; Wu, Haibing; Qiu, Deqin Revised Riemann-Hilbert problem for the derivative nonlinear Schrödinger equation: vanishing boundary condition. (English. Russian original) Zbl 07805991 Theor. Math. Phys. 217, No. 1, 1595-1608 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 204-219 (2023). MSC: 35Q15 35Q55 37K15 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Theor. Math. Phys. 217, No. 1, 1595--1608 (2023; Zbl 07805991); translation from Teor. Mat. Fiz. 217, No. 1, 204--219 (2023) Full Text: DOI
Pu, Jun-Cai; Chen, Yong Double and triple-pole solutions for the third-order flow equation of the Kaup-Newell system with zero/nonzero boundary conditions. (English) Zbl 07775751 J. Math. Phys. 64, No. 10, Article ID 103502, 39 p. (2023). MSC: 35Q15 35Q51 37K15 35C08 PDFBibTeX XMLCite \textit{J.-C. Pu} and \textit{Y. Chen}, J. Math. Phys. 64, No. 10, Article ID 103502, 39 p. (2023; Zbl 07775751) Full Text: DOI arXiv
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
Hu, Beibei; Zhang, Ling; Lin, Ji; Wei, Hanyu Riemann-Hilbert problem for the fifth-order modified Korteweg-de Vries equation with the prescribed initial and boundary values. (English) Zbl 1519.35273 Commun. Theor. Phys. 75, No. 6, Article ID 065004, 12 p. (2023). MSC: 35Q53 35Q15 37K15 PDFBibTeX XMLCite \textit{B. Hu} et al., Commun. Theor. Phys. 75, No. 6, Article ID 065004, 12 p. (2023; Zbl 1519.35273) Full Text: DOI
Halder, A. K.; Duba, C. T.; Leach, P. G. L. Symmetries and solutions for the inviscid oceanic Rossby wave equation. (English) Zbl 07705596 Int. J. Comput. Math. 100, No. 4, 796-823 (2023). MSC: 34A05 35B06 35C05 35C07 PDFBibTeX XMLCite \textit{A. K. Halder} et al., Int. J. Comput. Math. 100, No. 4, 796--823 (2023; Zbl 07705596) Full Text: DOI
Liu, Tongshuai; Xia, Tiecheng Riemann-Hilbert problems and \(N\)-soliton solutions of the nonlocal reverse space-time Chen-Lee-Liu equation. (English) Zbl 1516.35358 Commun. Theor. Phys. 75, No. 3, Article ID 035002, 8 p. (2023). MSC: 35Q51 35Q15 35C08 PDFBibTeX XMLCite \textit{T. Liu} and \textit{T. Xia}, Commun. Theor. Phys. 75, No. 3, Article ID 035002, 8 p. (2023; Zbl 1516.35358) Full Text: DOI
Sağlam Özkan, Yeşim; Yaşar, Emrullah Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications. (English) Zbl 07702457 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 617-632 (2023). MSC: 35C07 35C08 PDFBibTeX XMLCite \textit{Y. Sağlam Özkan} and \textit{E. Yaşar}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 617--632 (2023; Zbl 07702457) Full Text: DOI
Sun, Shi-Fei; Li, Biao A \(\overline{\partial } \)-dressing method for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation. (English) Zbl 1509.35287 J. Nonlinear Math. Phys. 30, No. 1, 201-214 (2023). MSC: 35Q55 35Q51 35C05 37K10 37K40 37K20 PDFBibTeX XMLCite \textit{S.-F. Sun} and \textit{B. Li}, J. Nonlinear Math. Phys. 30, No. 1, 201--214 (2023; Zbl 1509.35287) Full Text: DOI
Ma, Xinxin Riemann-Hilbert approach for the Kundu equation with non-vanishing boundary conditions: simple and double poles. (English) Zbl 1504.35209 J. Math. Anal. Appl. 520, No. 1, Article ID 126873, 25 p. (2023). MSC: 35Q15 35Q51 35Q55 35C08 35B40 37K15 PDFBibTeX XMLCite \textit{X. Ma}, J. Math. Anal. Appl. 520, No. 1, Article ID 126873, 25 p. (2023; Zbl 1504.35209) Full Text: DOI
Wu, Huiling; Song, Junfeng; Zhu, Quanyong Consistent Riccati expansion solvability and soliton-cnoidal wave solutions of a coupled KdV system. (English) Zbl 1501.35355 Appl. Math. Lett. 135, Article ID 108439, 7 p. (2023). MSC: 35Q53 35C08 35B10 35C20 33C05 76B15 76B70 35Q35 PDFBibTeX XMLCite \textit{H. Wu} et al., Appl. Math. Lett. 135, Article ID 108439, 7 p. (2023; Zbl 1501.35355) Full Text: DOI
Hu, Beibei; Lin, Ji; Zhang, Ling Riemann-Hilbert problem associated with the vector Lakshmanan-Porsezian-Daniel model in the birefringent optical fibers. (English) Zbl 07812788 Math. Methods Appl. Sci. 45, No. 17, 11545-11561 (2022). MSC: 35G31 35Q15 37K10 45D05 PDFBibTeX XMLCite \textit{B. Hu} et al., Math. Methods Appl. Sci. 45, No. 17, 11545--11561 (2022; Zbl 07812788) Full Text: DOI
Tian, Shoufu; Zhang, Tiantian On the class of self-adjoint lubrication equation: symmetries, conservation laws, Lagrangians and exact solutions. (Chinese. English summary) Zbl 07800930 Acta Math. Appl. Sin. 45, No. 1, 132-144 (2022). MSC: 35Q51 35Q53 PDFBibTeX XMLCite \textit{S. Tian} and \textit{T. Zhang}, Acta Math. Appl. Sin. 45, No. 1, 132--144 (2022; Zbl 07800930) Full Text: Link
Wei, Jiao; Geng, Xianguo; Wang, Xin; Zhai, Yunyun Finite genus solutions of the generalized Merola-Ragnisco-Tu lattice hierarchy. (English) Zbl 1509.37093 J. Math. Phys. 63, No. 8, Article ID 083503, 21 p. (2022). MSC: 37K10 37K20 35Q53 35Q51 PDFBibTeX XMLCite \textit{J. Wei} et al., J. Math. Phys. 63, No. 8, Article ID 083503, 21 p. (2022; Zbl 1509.37093) 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
Wang, Chunjiang; Zhang, Jian Riemann-Hilbert approach and \(N\)-soliton solutions of the two-component Kundu-Eckhaus equation. (English. Russian original) Zbl 1516.35361 Theor. Math. Phys. 212, No. 3, 1222-1236 (2022); translation from Teor. Mat. Fiz. 212, No. 3, 386-402 (2022). MSC: 35Q51 35Q15 35C08 37K40 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Zhang}, Theor. Math. Phys. 212, No. 3, 1222--1236 (2022; Zbl 1516.35361); translation from Teor. Mat. Fiz. 212, No. 3, 386--402 (2022) Full Text: DOI
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng Spectral analysis and long-time asymptotics of a coupled nonlinear Schrödinger system. (English) Zbl 1498.35517 Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2071-2106 (2022). MSC: 35Q55 35B40 35Q53 35Q15 35P99 41A60 PDFBibTeX XMLCite \textit{K. Wang} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2071--2106 (2022; Zbl 1498.35517) Full Text: DOI
Liu, Tongshuai; Xia, Tiecheng Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem. (English) Zbl 1504.35208 Nonlinear Anal., Real World Appl. 68, Article ID 103667, 14 p. (2022). MSC: 35Q15 37K10 35C08 PDFBibTeX XMLCite \textit{T. Liu} and \textit{T. Xia}, Nonlinear Anal., Real World Appl. 68, Article ID 103667, 14 p. (2022; Zbl 1504.35208) Full Text: DOI
Kudryavtsev, A. G.; Myagkov, N. N. On exact solutions of the Charney Obukhov equation for the ocean. (English) Zbl 1498.86007 Phys. Lett., A 446, Article ID 128282, 5 p. (2022). MSC: 86A05 76U65 35Q35 35Q86 PDFBibTeX XMLCite \textit{A. G. Kudryavtsev} and \textit{N. N. Myagkov}, Phys. Lett., A 446, Article ID 128282, 5 p. (2022; Zbl 1498.86007) Full Text: DOI
Hu, Beibei; Zhang, Ling; Lin, Ji The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair. (English) Zbl 1496.35170 Anal. Math. Phys. 12, No. 5, Paper No. 109, 20 p. (2022). MSC: 35G31 35A22 35Q15 37K10 45D05 PDFBibTeX XMLCite \textit{B. Hu} et al., Anal. Math. Phys. 12, No. 5, Paper No. 109, 20 p. (2022; Zbl 1496.35170) Full Text: DOI
Zhang, Heyan; Zhang, Yi; Xia, Pei; Zhuang, Yindong A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system. (English) Zbl 1502.37077 J. Geom. Phys. 178, Article ID 104572, 11 p. (2022). MSC: 37K40 37K10 35Q15 35C08 35Q55 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Geom. Phys. 178, Article ID 104572, 11 p. (2022; Zbl 1502.37077) Full Text: DOI
Hu, Beibei; Lin, Ji; Zhang, Ling On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a \(4 \times 4\) matrix Lax pair. (English) Zbl 1510.35123 Appl. Math. Comput. 428, Article ID 127202, 14 p. (2022). MSC: 35G31 35Q15 37K10 45D05 PDFBibTeX XMLCite \textit{B. Hu} et al., Appl. Math. Comput. 428, Article ID 127202, 14 p. (2022; Zbl 1510.35123) Full Text: DOI
Wen, Li-Li; Fan, En-Gui; Chen, Yong Multiple-high-order pole solutions for the NLS equation with quartic terms. (English) Zbl 1490.35460 Appl. Math. Lett. 130, Article ID 108008, 8 p. (2022). MSC: 35Q55 35Q41 35Q15 35C08 45D05 PDFBibTeX XMLCite \textit{L.-L. Wen} et al., Appl. Math. Lett. 130, Article ID 108008, 8 p. (2022; Zbl 1490.35460) Full Text: DOI arXiv
Hu, Beibei; Yu, Xiaomei; Zhang, Ling On the Riemann-Hilbert problem of the matrix Lakshmanan-Porsezian-Daniel system with a \(4\times4\) AKNS-type matrix Lax pair. (English. Russian original) Zbl 1515.37069 Theor. Math. Phys. 210, No. 3, 337-352 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 387-404 (2022). MSC: 37K10 37K15 45D05 35Q15 35Q51 PDFBibTeX XMLCite \textit{B. Hu} et al., Theor. Math. Phys. 210, No. 3, 337--352 (2022; Zbl 1515.37069); translation from Teor. Mat. Fiz. 210, No. 3, 387--404 (2022) Full Text: DOI
Qiu, Deqin; Lv, Cong Riemann-Hilbert approach and \(N\)-soliton solutions of the generalized mixed nonlinear Schrödinger equation. (English. Russian original) Zbl 1515.37079 Theor. Math. Phys. 210, No. 3, 287-303 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 331-349 (2022). MSC: 37K40 35Q55 35C08 35Q15 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{C. Lv}, Theor. Math. Phys. 210, No. 3, 287--303 (2022; Zbl 1515.37079); translation from Teor. Mat. Fiz. 210, No. 3, 331--349 (2022) Full Text: DOI
Geng, Xianguo; Wang, Jia; Xue, Bo Riemann-Hilbert approach and \(N\)-soliton solutions for a negative matrix AKNS system with a Hermitian symmetric space. (English) Zbl 1524.35117 Wave Motion 108, Article ID 102838, 10 p. (2022). MSC: 35C08 35Q15 35Q53 PDFBibTeX XMLCite \textit{X. Geng} et al., Wave Motion 108, Article ID 102838, 10 p. (2022; Zbl 1524.35117) Full Text: DOI
Kudryavtsev, A. G.; Myagkov, N. N. New solutions for the (3 + 1)-dimensional Charney-Obukhov equation. (English) Zbl 1485.81027 Phys. Lett., A 427, Article ID 127901, 4 p. (2022). MSC: 81Q05 35Q55 35C07 76M23 81V80 PDFBibTeX XMLCite \textit{A. G. Kudryavtsev} and \textit{N. N. Myagkov}, Phys. Lett., A 427, Article ID 127901, 4 p. (2022; Zbl 1485.81027) Full Text: DOI
Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. (English) Zbl 1497.35440 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022). MSC: 35Q55 35Q53 35C08 35C09 37K35 68T07 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022; Zbl 1497.35440) Full Text: DOI arXiv
Xu, Tao; Zhang, Guowei; Wang, Liqun; Xu, Xiangmin; Li, Min Numerical simulation of the soliton solutions for a complex modified Korteweg-de Vries equation by a finite difference method. (English) Zbl 1521.65078 Commun. Theor. Phys. 73, No. 2, Article ID 025005, 11 p. (2021). MSC: 65M06 65M22 35Q53 35C08 65M12 PDFBibTeX XMLCite \textit{T. Xu} et al., Commun. Theor. Phys. 73, No. 2, Article ID 025005, 11 p. (2021; Zbl 1521.65078) Full Text: DOI
Hu, Bei-Bei; Zhang, Ling; Xia, Tie-Cheng On the Riemann-Hilbert problem of a generalized derivative nonlinear Schrödinger equation. (English) Zbl 1521.35130 Commun. Theor. Phys. 73, No. 1, Article ID 015002, 12 p. (2021). MSC: 35Q15 35Q55 PDFBibTeX XMLCite \textit{B.-B. Hu} et al., Commun. Theor. Phys. 73, No. 1, Article ID 015002, 12 p. (2021; Zbl 1521.35130) Full Text: DOI
Wu, Jianping A new approach to investigate the nonlinear dynamics in a \((3 + 1)\)-dimensional nonlinear evolution equation via Wronskian condition with a free function. (English) Zbl 1517.37069 Nonlinear Dyn. 103, No. 2, 1795-1804 (2021). MSC: 37K10 37K40 35C08 35Q51 PDFBibTeX XMLCite \textit{J. Wu}, Nonlinear Dyn. 103, No. 2, 1795--1804 (2021; Zbl 1517.37069) Full Text: DOI
Xu, Bo; Zhang, Sheng Exact solutions of nonlinear equations in mathematical physics via negative power expansion method. (English) Zbl 1490.35378 J. Math. Phys. Anal. Geom. 17, No. 3, 369-387 (2021). MSC: 35Q51 35J99 68W30 PDFBibTeX XMLCite \textit{B. Xu} and \textit{S. Zhang}, J. Math. Phys. Anal. Geom. 17, No. 3, 369--387 (2021; Zbl 1490.35378) Full Text: DOI
Li, Junjie; Singh, Gurpreet; İlhan, Onur Alp; Manafian, Jalil; Gasimov, Yusif S. Modulational instability, multiple exp-function method, SIVP, solitary and cross-kink solutions for the generalized KP equation. (English) Zbl 1484.35126 AIMS Math. 6, No. 7, 7555-7584 (2021). MSC: 35C08 35A20 35A24 35A25 35B10 70K50 PDFBibTeX XMLCite \textit{J. Li} et al., AIMS Math. 6, No. 7, 7555--7584 (2021; Zbl 1484.35126) Full Text: DOI
Hu, Beibei; Zhang, Ling; Li, Qinghong; Zhang, Ning Riemann-Hilbert problem associated with the fourth-order dispersive nonlinear Schrödinger equation in optics and magnetic mechanics. (English) Zbl 1482.35077 J. Nonlinear Math. Phys. 28, No. 4, 414-435 (2021). MSC: 35G31 35Q15 35Q60 37N15 PDFBibTeX XMLCite \textit{B. Hu} et al., J. Nonlinear Math. Phys. 28, No. 4, 414--435 (2021; Zbl 1482.35077) Full Text: DOI arXiv
Yan, Xue-Wei A two-component modified Korteweg-de Vries equation: Riemann-Hilbert problem and multi-soliton solutions. (English) Zbl 1479.35730 Int. J. Comput. Math. 98, No. 3, 569-579 (2021). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{X.-W. Yan}, Int. J. Comput. Math. 98, No. 3, 569--579 (2021; Zbl 1479.35730) Full Text: DOI
Li, Yan; Zhang, Ling; Hu, Beibei; Wang, Ruiqi The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach. (English. Russian original) Zbl 1482.81011 Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021). MSC: 81Q05 35Q55 35Q15 35G31 65R10 34L40 PDFBibTeX XMLCite \textit{Y. Li} et al., Theor. Math. Phys. 209, No. 2, 1537--1551 (2021; Zbl 1482.81011); translation from Teor. Mat. Fiz. 209, No. 2, 258--273 (2021) Full Text: DOI
Lou, Yu; Zhang, Yi; Ye, Rusuo; Li, Miao Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov-Ivanov equation. (English) Zbl 1524.35469 Wave Motion 106, Article ID 102795, 10 p. (2021). MSC: 35Q35 76B25 76X05 78A60 PDFBibTeX XMLCite \textit{Y. Lou} et al., Wave Motion 106, Article ID 102795, 10 p. (2021; Zbl 1524.35469) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Zhang} et al., Phys. Lett., A 385, Article ID 126966, 13 p. (2021; Zbl 1479.37075) Full Text: DOI
Li, Jian; Xia, Tiecheng; Wei, Hanyu The \(N\)-soliton solutions to the Hirota and Maxwell-Bloch equation via the Riemann-Hilbert approach. (English) Zbl 1465.35347 Int. J. Mod. Phys. B 35, No. 11, Article ID 2150153, 9 p. (2021). MSC: 35Q40 35C08 35Q15 PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Mod. Phys. B 35, No. 11, Article ID 2150153, 9 p. (2021; Zbl 1465.35347) Full Text: DOI
Li, Ruo-meng; Geng, Xian-guo A necessary and sufficient condition for the solvability of the nonlinear Schrödinger equation on a finite interval. (English) Zbl 1467.37064 Acta Math. Appl. Sin., Engl. Ser. 37, No. 1, 75-100 (2021). MSC: 37K15 35Q55 PDFBibTeX XMLCite \textit{R.-m. Li} and \textit{X.-g. Geng}, Acta Math. Appl. Sin., Engl. Ser. 37, No. 1, 75--100 (2021; Zbl 1467.37064) Full Text: DOI
Li, Jian; Xia, Tiecheng A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization. (English) Zbl 1466.35277 J. Math. Anal. Appl. 500, No. 2, Article ID 125109, 9 p. (2021). MSC: 35Q15 35Q55 35C08 37K15 PDFBibTeX XMLCite \textit{J. Li} and \textit{T. Xia}, J. Math. Anal. Appl. 500, No. 2, Article ID 125109, 9 p. (2021; Zbl 1466.35277) Full Text: DOI
Hu, Beibei; Zhang, Ling; Zhang, Ning On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation. (English) Zbl 1465.35329 J. Comput. Appl. Math. 390, Article ID 113393, 15 p. (2021). Reviewer: Ilya Spitkovsky (Williamsburg) MSC: 35Q15 35G31 35Q55 PDFBibTeX XMLCite \textit{B. Hu} et al., J. Comput. Appl. Math. 390, Article ID 113393, 15 p. (2021; Zbl 1465.35329) Full Text: DOI arXiv
Li, Jian; Xia, Tiecheng \(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP. (English) Zbl 1458.35120 Appl. Math. Lett. 113, Article ID 106850, 7 p. (2021). MSC: 35C08 35Q55 35Q15 PDFBibTeX XMLCite \textit{J. Li} and \textit{T. Xia}, Appl. Math. Lett. 113, Article ID 106850, 7 p. (2021; Zbl 1458.35120) Full Text: DOI
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. (English) Zbl 1458.35388 Anal. Math. Phys. 11, No. 1, Paper No. 14, 13 p. (2021). MSC: 35Q55 35Q15 37K10 35C08 82D40 PDFBibTeX XMLCite \textit{Z.-Z. Kang} et al., Anal. Math. Phys. 11, No. 1, Paper No. 14, 13 p. (2021; Zbl 1458.35388) Full Text: DOI
Hosseini, K.; Mirzazadeh, M. Soliton and other solutions to the \((1 + 2)\)-dimensional chiral nonlinear Schrödinger equation. (English) Zbl 1520.35142 Commun. Theor. Phys. 72, No. 12, Article ID 125008, 6 p. (2020). MSC: 35Q55 35C08 35C05 PDFBibTeX XMLCite \textit{K. Hosseini} and \textit{M. Mirzazadeh}, Commun. Theor. Phys. 72, No. 12, Article ID 125008, 6 p. (2020; Zbl 1520.35142) Full Text: DOI
Chen, Jigen; Luan, Zitong; Zhou, Qin; Alzahrani, Abdullah Kamis; Biswas, Anjan; Liu, Wenjun Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers. (English) Zbl 1516.37112 Nonlinear Dyn. 100, No. 3, 2817-2821 (2020). MSC: 37K40 35C08 35Q55 78A50 PDFBibTeX XMLCite \textit{J. Chen} et al., Nonlinear Dyn. 100, No. 3, 2817--2821 (2020; Zbl 1516.37112) Full Text: DOI
Li, Liu-Qing; Gao, Yi-Tian; Hu, Lei; Jia, Ting-Ting; Ding, Cui-Cui; Feng, Yu-Jie Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation. (English) Zbl 1516.37117 Nonlinear Dyn. 100, No. 3, 2729-2738 (2020). MSC: 37K40 35C08 35Q51 PDFBibTeX XMLCite \textit{L.-Q. Li} et al., Nonlinear Dyn. 100, No. 3, 2729--2738 (2020; Zbl 1516.37117) Full Text: DOI
Wen, Lili; Zhang, Ning; Fan, Engui \(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach. (English) Zbl 1499.35566 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 113-126 (2020). MSC: 35Q55 35C08 37K40 PDFBibTeX XMLCite \textit{L. Wen} et al., Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 113--126 (2020; Zbl 1499.35566) Full Text: DOI
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng Long-time asymptotics for the generalized Sasa-Satsuma equation. (English) Zbl 1484.35340 AIMS Math. 5, No. 6, 7413-7437 (2020). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{K. Wang} et al., AIMS Math. 5, No. 6, 7413--7437 (2020; Zbl 1484.35340) Full Text: DOI
Abdou, Mohammed Aly; Ouahid, Loubna; Owyed, Saud; Abdel-Baset, A. M.; Inc, Mustafa; Akinlar, Mehmet Ali; Chu, Yu-Ming Explicit solutions to the Sharma-Tasso-Olver equation. (English) Zbl 1484.35010 AIMS Math. 5, No. 6, 7272-7284 (2020). MSC: 35A09 35E05 PDFBibTeX XMLCite \textit{M. A. Abdou} et al., AIMS Math. 5, No. 6, 7272--7284 (2020; Zbl 1484.35010) Full Text: DOI
Yel, Gulnur; Baskonus, Haci Mehmet; Gao, Wei New dark-bright soliton in the shallow water wave model. (English) Zbl 1484.35342 AIMS Math. 5, No. 4, 4027-4044 (2020). MSC: 35Q53 35Q51 35C08 37K40 76B25 PDFBibTeX XMLCite \textit{G. Yel} et al., AIMS Math. 5, No. 4, 4027--4044 (2020; Zbl 1484.35342) Full Text: DOI
Ilhan, Onur Alp; Manafian, Jalil; Alizadeh, As’ad; Mohammed, Sizar Abid \(M\) lump and interaction between \(M\) lump and \(N\) stripe for the third-order evolution equation arising in the shallow water. (English) Zbl 1482.35193 Adv. Difference Equ. 2020, Paper No. 207, 20 p. (2020). MSC: 35Q51 35C08 35C05 37K40 PDFBibTeX XMLCite \textit{O. A. Ilhan} et al., Adv. Difference Equ. 2020, Paper No. 207, 20 p. (2020; Zbl 1482.35193) Full Text: DOI
Wu, Juanjuan; Liu, Yaqing; Piao, Linhua; Zhuang, Jianhong; Wang, Deng-Shan Nonlinear localized waves resonance and interaction solutions of the \((3 + 1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 1459.35084 Nonlinear Dyn. 100, No. 2, 1527-1541 (2020). MSC: 35C08 37K40 PDFBibTeX XMLCite \textit{J. Wu} et al., Nonlinear Dyn. 100, No. 2, 1527--1541 (2020; Zbl 1459.35084) Full Text: DOI
Guo, Han-Dong; Xia, Tie-Cheng Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 07336605 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 3-4, 371-377 (2020). MSC: 37K40 35Q68 PDFBibTeX XMLCite \textit{H.-D. Guo} and \textit{T.-C. Xia}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 3--4, 371--377 (2020; Zbl 07336605) Full Text: DOI
Liu, Ling; Wen, Xiao-Yong; Liu, Nan; Jiang, Tao; Yuan, Jin-Yun An integrable lattice hierarchy associated with a \(4 \times 4\) matrix spectral problem: \(N\)-fold Darboux transformation and dynamical properties. (English) Zbl 1472.35336 Appl. Math. Comput. 387, Article ID 124525, 16 p. (2020). MSC: 35Q53 35A30 37K10 PDFBibTeX XMLCite \textit{L. Liu} et al., Appl. Math. Comput. 387, Article ID 124525, 16 p. (2020; Zbl 1472.35336) Full Text: DOI
Zhaqilao A pair of modified short pulse equations and its two-component system in nonlinear media. (English) Zbl 1524.78027 Wave Motion 96, Article ID 102553, 11 p. (2020). MSC: 78A40 35C08 35Q53 PDFBibTeX XMLCite \textit{Zhaqilao}, Wave Motion 96, Article ID 102553, 11 p. (2020; Zbl 1524.78027) Full Text: DOI
Zhang, Ning; Xu, Xi-Xiang Positive and negative integrable hierarchies: bi-Hamiltonian structure and Darboux-Bäcklund transformation. (English) Zbl 1459.37057 Math. Probl. Eng. 2020, Article ID 5363952, 15 p. (2020). MSC: 37K10 35Q53 37K60 PDFBibTeX XMLCite \textit{N. Zhang} and \textit{X.-X. Xu}, Math. Probl. Eng. 2020, Article ID 5363952, 15 p. (2020; Zbl 1459.37057) Full Text: DOI
Wang, Ben-Hai; Wang, Yue-Yue Fractional white noise functional soliton solutions of a Wick-type stochastic fractional NLSE. (English) Zbl 1460.60068 Appl. Math. Lett. 110, Article ID 106583, 8 p. (2020). MSC: 60H15 35R11 37H10 PDFBibTeX XMLCite \textit{B.-H. Wang} and \textit{Y.-Y. Wang}, Appl. Math. Lett. 110, Article ID 106583, 8 p. (2020; Zbl 1460.60068) Full Text: DOI
Hu, Beibei; Zhang, Ling; Xia, Tiecheng; Zhang, Ning On the Riemann-Hilbert problem of the Kundu equation. (English) Zbl 1474.35228 Appl. Math. Comput. 381, Article ID 125262, 13 p. (2020). MSC: 35G31 35Q15 35Q51 PDFBibTeX XMLCite \textit{B. Hu} et al., Appl. Math. Comput. 381, Article ID 125262, 13 p. (2020; Zbl 1474.35228) Full Text: DOI
Wu, Gang-Zhou; Dai, Chao-Qing Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation. (English) Zbl 1442.35531 Appl. Math. Lett. 106, Article ID 106365, 5 p. (2020). MSC: 35R11 35C08 37K40 PDFBibTeX XMLCite \textit{G.-Z. Wu} and \textit{C.-Q. Dai}, Appl. Math. Lett. 106, Article ID 106365, 5 p. (2020; Zbl 1442.35531) Full Text: DOI
Dai, Chao-Qing; Wang, Yue-Yue; Fan, Yan; Zhang, Jie-Fang Interactions between exotic multi-valued solitons of the \((2+1)\)-dimensional Korteweg-de Vries equation describing shallow water wave. (English) Zbl 1481.35351 Appl. Math. Modelling 80, 506-515 (2020). MSC: 35Q53 37K40 76B15 PDFBibTeX XMLCite \textit{C.-Q. Dai} et al., Appl. Math. Modelling 80, 506--515 (2020; Zbl 1481.35351) 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 PDFBibTeX XMLCite \textit{H. Wu} et al., Appl. Math. Lett. 105, Article ID 106336, 7 p. (2020; Zbl 1436.35024) Full Text: DOI
Guan, Xue; Liu, Wenjun; Zhou, Qin; Biswas, Anjan Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1433.35338 Appl. Math. Comput. 366, Article ID 124757, 9 p. (2020). MSC: 35Q53 35C08 35C05 35Q51 PDFBibTeX XMLCite \textit{X. Guan} et al., Appl. Math. Comput. 366, Article ID 124757, 9 p. (2020; Zbl 1433.35338) Full Text: DOI
Liu, Xiaoyan; Luan, Zitong; Zhou, Qin; Liu, Wenjun; Biswas, Anjan Dark two-soliton solutions for nonlinear Schrödinger equations in inhomogeneous optical fibers. (English) Zbl 07824995 Chin. J. Phys., Taipei 61, 310-315 (2019). MSC: 35Qxx 37Kxx 35Cxx PDFBibTeX XMLCite \textit{X. Liu} et al., Chin. J. Phys., Taipei 61, 310--315 (2019; Zbl 07824995) Full Text: DOI
Liu, Yaqing; Wen, Xiao-Yong Soliton, breather, lump and their interaction solutions of the \((2+1)\)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation. (English) Zbl 1485.35333 Adv. Difference Equ. 2019, Paper No. 332, 11 p. (2019). MSC: 35Q51 37K10 37K40 35C08 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X.-Y. Wen}, Adv. Difference Equ. 2019, Paper No. 332, 11 p. (2019; Zbl 1485.35333) Full Text: DOI
Li, Xinyue; Zhao, Qiulan Decomposing a new nonlinear differential-difference system under a Bargmann implicit symmetry constraint. (English) Zbl 1464.35286 J. Appl. Anal. Comput. 9, No. 5, 1884-1900 (2019). MSC: 35Q51 37K10 37K60 37M15 PDFBibTeX XMLCite \textit{X. Li} and \textit{Q. Zhao}, J. Appl. Anal. Comput. 9, No. 5, 1884--1900 (2019; Zbl 1464.35286) Full Text: DOI
Lu, Changna; Xie, Luoyan; Yang, Hongwei Analysis of Lie symmetries with conservation laws and solutions for the generalized (3 + 1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1442.35517 Comput. Math. Appl. 77, No. 12, 3154-3171 (2019). MSC: 35R11 35A30 35Q53 PDFBibTeX XMLCite \textit{C. Lu} et al., Comput. Math. Appl. 77, No. 12, 3154--3171 (2019; Zbl 1442.35517) Full Text: DOI
Liu, Xiaoyan; Liu, Wenjun; Triki, Houria; Zhou, Qin; Biswas, Anjan Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation. (English) Zbl 1437.35146 Nonlinear Dyn. 96, No. 2, 801-809 (2019). MSC: 35C08 35Q55 37K40 PDFBibTeX XMLCite \textit{X. Liu} et al., Nonlinear Dyn. 96, No. 2, 801--809 (2019; Zbl 1437.35146) Full Text: DOI
Liu, Wenjun; Zhang, Yujia; Luan, Zitong; Zhou, Qin; Mirzazadeh, Mohammad; Ekici, Mehmet; Biswas, Anjan Dromion-like soliton interactions for nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers. (English) Zbl 1437.35633 Nonlinear Dyn. 96, No. 1, 729-736 (2019). MSC: 35Q55 78A60 35C08 PDFBibTeX XMLCite \textit{W. Liu} et al., Nonlinear Dyn. 96, No. 1, 729--736 (2019; Zbl 1437.35633) Full Text: DOI
Wu, Hong-Yu; Jiang, Li-Hong Excitation management of \((2+1)\)-dimensional breathers for a coupled partially nonlocal nonlinear Schrödinger equation with variable coefficients. (English) Zbl 1437.37045 Nonlinear Dyn. 95, No. 4, 3401-3409 (2019). MSC: 37D40 37K10 35C08 35Q51 PDFBibTeX XMLCite \textit{H.-Y. Wu} and \textit{L.-H. Jiang}, Nonlinear Dyn. 95, No. 4, 3401--3409 (2019; Zbl 1437.37045) Full Text: DOI
Chen, Yi-Xiang; Xu, Fang-Qian; Hu, Yi-Liang Excitation control for three-dimensional Peregrine solution and combined breather of a partially nonlocal variable-coefficient nonlinear Schrödinger equation. (English) Zbl 1432.35183 Nonlinear Dyn. 95, No. 3, 1957-1964 (2019). MSC: 35Q51 35Q55 35C08 PDFBibTeX XMLCite \textit{Y.-X. Chen} et al., Nonlinear Dyn. 95, No. 3, 1957--1964 (2019; Zbl 1432.35183) Full Text: DOI
Lin, Yuxin; Fang, Yong; Dong, Huanhe Prolongation structures and \(N\)-soliton solutions for a new nonlinear Schrödinger-type equation via Riemann-Hilbert approach. (English) Zbl 1435.35352 Math. Probl. Eng. 2019, Article ID 4058041, 10 p. (2019). MSC: 35Q55 35C08 35Q53 37K10 PDFBibTeX XMLCite \textit{Y. Lin} et al., Math. Probl. Eng. 2019, Article ID 4058041, 10 p. (2019; Zbl 1435.35352) Full Text: DOI
Tao, Mengshuang; Dong, Huanhe N-soliton solutions of the coupled Kundu equations based on the Riemann-Hilbert method. (English) Zbl 1435.35359 Math. Probl. Eng. 2019, Article ID 3085367, 10 p. (2019). MSC: 35Q55 35C08 35Q56 PDFBibTeX XMLCite \textit{M. Tao} and \textit{H. Dong}, Math. Probl. Eng. 2019, Article ID 3085367, 10 p. (2019; Zbl 1435.35359) Full Text: DOI
Yu, Weitian; Liu, Wenjun; Triki, Houria; Zhou, Qin; Biswas, Anjan; Belić, Milivoj R. Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system. (English) Zbl 1430.35218 Nonlinear Dyn. 97, No. 1, 471-483 (2019). MSC: 35Q55 35C08 35Q51 37K40 78A60 PDFBibTeX XMLCite \textit{W. Yu} et al., Nonlinear Dyn. 97, No. 1, 471--483 (2019; Zbl 1430.35218) Full Text: DOI
Liu, Suzhi; Zhou, Qin; Biswas, Anjan; Liu, Wenjun Phase-shift controlling of three solitons in dispersion-decreasing fibers. (English) Zbl 1430.78006 Nonlinear Dyn. 98, No. 1, 395-401 (2019). MSC: 78A60 35Q55 74J35 PDFBibTeX XMLCite \textit{S. Liu} et al., Nonlinear Dyn. 98, No. 1, 395--401 (2019; Zbl 1430.78006) Full Text: DOI
Yu, Weitian; Liu, Wenjun; Triki, Houria; Zhou, Qin; Biswas, Anjan Phase shift, oscillation and collision of the anti-dark solitons for the \((3+1)\)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system. (English) Zbl 1430.35217 Nonlinear Dyn. 97, No. 2, 1253-1262 (2019). MSC: 35Q55 35C08 37K40 78A60 PDFBibTeX XMLCite \textit{W. Yu} et al., Nonlinear Dyn. 97, No. 2, 1253--1262 (2019; Zbl 1430.35217) Full Text: DOI
Fu, Lei; Yang, Hongwei An application of (3+1)-dimensional time-space fractional ZK model to analyze the complex dust acoustic waves. (English) Zbl 1430.35252 Complexity 2019, Article ID 2806724, 15 p. (2019). MSC: 35R11 35Q53 35Q82 82D10 35C08 PDFBibTeX XMLCite \textit{L. Fu} and \textit{H. Yang}, Complexity 2019, Article ID 2806724, 15 p. (2019; Zbl 1430.35252) Full Text: DOI
Hu, Beibei; Xia, Tiecheng A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line. (English) Zbl 1447.35239 Complex Var. Elliptic Equ. 64, No. 12, 2019-2039 (2019). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35Q51 37K10 35A22 37K15 PDFBibTeX XMLCite \textit{B. Hu} and \textit{T. Xia}, Complex Var. Elliptic Equ. 64, No. 12, 2019--2039 (2019; Zbl 1447.35239) Full Text: DOI
Zhang, Wei-Guo; Yao, Qian; Bo, Ge-Qiang Two-soliton solutions of the complex short pulse equation via Riemann-Hilbert approach. (English) Zbl 1426.35069 Appl. Math. Lett. 98, 263-270 (2019). MSC: 35C08 35Q15 PDFBibTeX XMLCite \textit{W.-G. Zhang} et al., Appl. Math. Lett. 98, 263--270 (2019; Zbl 1426.35069) Full Text: DOI
Hu, Beibei; Xia, Tiecheng; Zhang, Ning The unified transform method to initial-boundary value problem for a coupled cubic-quintic nonlinear Schrödinger system. (English) Zbl 1428.35517 Complex Anal. Oper. Theory 13, No. 3, 1143-1159 (2019). MSC: 35Q55 37K10 35Q51 35Q15 78A60 PDFBibTeX XMLCite \textit{B. Hu} et al., Complex Anal. Oper. Theory 13, No. 3, 1143--1159 (2019; Zbl 1428.35517) Full Text: DOI
Liu, Yu; Dong, Huanhe; Zhang, Yong Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows. (English) Zbl 1420.35294 Anal. Math. Phys. 9, No. 1, 465-481 (2019). MSC: 35Q51 37K10 22E70 PDFBibTeX XMLCite \textit{Y. Liu} et al., Anal. Math. Phys. 9, No. 1, 465--481 (2019; Zbl 1420.35294) Full Text: DOI
Dusunceli, Faruk New exponential and complex traveling wave solutions to the Konopelchenko-Dubrovsky model. (English) Zbl 1418.35067 Adv. Math. Phys. 2019, Article ID 7801247, 9 p. (2019). MSC: 35C07 35G55 35C05 PDFBibTeX XMLCite \textit{F. Dusunceli}, Adv. Math. Phys. 2019, Article ID 7801247, 9 p. (2019; Zbl 1418.35067) Full Text: DOI
Liu, Guodong; Chang, Zhengbo; Meng, Xinzhu Asymptotic analysis of impulsive dispersal predator-prey systems with Markov switching on finite-state space. (English) Zbl 1416.34039 J. Funct. Spaces 2019, Article ID 8057153, 18 p. (2019). MSC: 34C60 92D25 34F05 34A37 34A36 34D05 34C25 PDFBibTeX XMLCite \textit{G. Liu} et al., J. Funct. Spaces 2019, Article ID 8057153, 18 p. (2019; Zbl 1416.34039) Full Text: DOI
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber. (English) Zbl 1459.35303 Adv. Difference Equ. 2019, Paper No. 188, 14 p. (2019). MSC: 35Q15 35Q55 37K10 35C08 PDFBibTeX XMLCite \textit{Z.-Z. Kang} et al., Adv. Difference Equ. 2019, Paper No. 188, 14 p. (2019; Zbl 1459.35303) Full Text: DOI arXiv
Abd-Elhameed, W. M.; Youssri, Y. H. Sixth-kind Chebyshev spectral approach for solving fractional differential equations. (English) Zbl 07048618 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 191-203 (2019). MSC: 65M70 34A08 33C45 11B83 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 191--203 (2019; Zbl 07048618) Full Text: DOI
Gu, Jiayue; Zhang, Yong; Dong, Huanhe Dynamic behaviors of interaction solutions of (3 + 1)-dimensional shallow water wave equation. (English) Zbl 1434.35160 Comput. Math. Appl. 76, No. 6, 1408-1419 (2018). MSC: 35Q53 76B15 76B25 35C08 37K40 PDFBibTeX XMLCite \textit{J. Gu} et al., Comput. Math. Appl. 76, No. 6, 1408--1419 (2018; Zbl 1434.35160) Full Text: DOI
Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. (English) Zbl 1427.35232 Appl. Math. Comput. 332, 148-159 (2018). MSC: 35Q53 35Q15 PDFBibTeX XMLCite \textit{B.-B. Hu} et al., Appl. Math. Comput. 332, 148--159 (2018; Zbl 1427.35232) Full Text: DOI
Zhang, Ning; Xia, Tiecheng; Jin, QiuYan \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. (English) Zbl 1448.37086 Adv. Difference Equ. 2018, Paper No. 302, 10 p. (2018). MSC: 37K35 37K10 35Q51 PDFBibTeX XMLCite \textit{N. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 302, 10 p. (2018; Zbl 1448.37086) Full Text: DOI
Zhang, Ning; Xia, Tie-cheng; Fan, En-gui A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. (English) Zbl 1403.35193 Acta Math. Appl. Sin., Engl. Ser. 34, No. 3, 493-515 (2018). MSC: 35Q15 35G31 35Q55 PDFBibTeX XMLCite \textit{N. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 34, No. 3, 493--515 (2018; Zbl 1403.35193) Full Text: DOI
Zhang, Sheng; Hong, Siyu Lax integrability and exact solutions of a variable-coefficient and nonisospectral AKNS hierarchy. (English) Zbl 1401.35279 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 3-4, 251-262 (2018). MSC: 35Q53 37K10 35C08 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{S. Hong}, Int. J. Nonlinear Sci. Numer. Simul. 19, No. 3--4, 251--262 (2018; Zbl 1401.35279) Full Text: DOI
Zhang, Yong; Sun, Shili; Dong, Huanhe Hybrid solutions of (3 + 1)-dimensional Jimbo-Miwa equation. (English) Zbl 1426.35209 Math. Probl. Eng. 2017, Article ID 5453941, 15 p. (2017). MSC: 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Math. Probl. Eng. 2017, Article ID 5453941, 15 p. (2017; Zbl 1426.35209) Full Text: DOI
Zhang, Yong; Dong, Huanhe; Zhang, Xiaoen; Yang, Hongwei Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation. (English) Zbl 1368.35240 Comput. Math. Appl. 73, No. 2, 246-252 (2017). MSC: 35Q53 35C05 68W30 76B15 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 73, No. 2, 246--252 (2017; Zbl 1368.35240) Full Text: DOI
Wen, Xiao-Yong A new integrable lattice hierarchy associated with a discrete \(3\times 3\) matrix spectral problem: \(N\)-fold Darboux transformation and explicit solutions. (English) Zbl 1386.37075 Rep. Math. Phys. 71, No. 1, 15-32 (2013). MSC: 37K60 37K10 37K35 PDFBibTeX XMLCite \textit{X.-Y. Wen}, Rep. Math. Phys. 71, No. 1, 15--32 (2013; Zbl 1386.37075) Full Text: DOI Link
Wen, Xiao-Yong An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws. (English) Zbl 1257.37049 Appl. Math. Comput. 218, No. 9, 5796-5805 (2012). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 37K35 35Q51 PDFBibTeX XMLCite \textit{X.-Y. Wen}, Appl. Math. Comput. 218, No. 9, 5796--5805 (2012; Zbl 1257.37049) Full Text: DOI
Dong, Huan-he A subalgebra of Lie algebra \(A_2\) and its associated two types of loop algebras, as well as Hamiltonian structures of integrable hierarchy. (English) Zbl 1187.37103 J. Math. Phys. 50, No. 5, 053519, 21 p. (2009). MSC: 37K30 17B80 37K10 37K15 PDFBibTeX XMLCite \textit{H.-h. Dong}, J. Math. Phys. 50, No. 5, 053519, 21 p. (2009; Zbl 1187.37103) Full Text: DOI