A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation

doi:10.1088/1009-1963/13/11/004

中国物理B ›› 2004, Vol. 13 ›› Issue (11): 1796-1800.doi: 10.1088/1009-1963/13/11/004

A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation

陈勇¹, 王琪²

(1)Department of Mathematics, Ningbo University, Ningbo 315211, China; Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China; (2)Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China

收稿日期:2004-03-23 修回日期:2004-06-07 出版日期:2004-11-20 发布日期:2005-06-20
基金资助:
Project supported by the National Outstanding Youth Foundation of China (Grant No 19925522) and the Postdoctoral Science Foundation of China(Grant No 2004035080).

A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation

Chen Yong (陈勇)^abc, Wang Qi (王琪)^cd

^a Department of Mathematics, Ningbo University, Ningbo 315211, China^b Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China^c Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China; ^d Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China

Received:2004-03-23 Revised:2004-06-07 Online:2004-11-20 Published:2005-06-20
Supported by:
Project supported by the National Outstanding Youth Foundation of China (Grant No 19925522) and the Postdoctoral Science Foundation of China(Grant No 2004035080).

摘要/Abstract

摘要： By means of a new general ans?tz and with the aid of symbolic computation, a new algebraic method named Jacobi elliptic function rational expansion is devised to uniformly construct a series of new double periodic solutions to (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov (ANNV) equation in terms of rational Jacobi elliptic function.

关键词: (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation, Jacobi elliptic functions, travelling wave solution, soliton solution, periodic solution

Abstract: By means of a new general ans?tz and with the aid of symbolic computation, a new algebraic method named Jacobi elliptic function rational expansion is devised to uniformly construct a series of new double periodic solutions to (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov (ANNV) equation in terms of rational Jacobi elliptic function.

Key words: (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation, Jacobi elliptic functions, travelling wave solution, soliton solution, periodic solution

中图分类号: (Approximations and expansions)

02.30.Mv

02.30.Jr (Partial differential equations) 02.60.Gf (Algorithms for functional approximation) 05.45.Yv (Solitons)

陈勇, 王琪. A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation[J]. 中国物理B, 2004, 13(11): 1796-1800.

Chen Yong (陈勇), Wang Qi (王琪). A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation[J]. Chinese Physics, 2004, 13(11): 1796-1800.

[1]	Sha Li(李莎), Tiecheng Xia(夏铁成), and Hanyu Wei(魏含玉). Riemann--Hilbert approach of the complex Sharma—Tasso—Olver equation and its N-soliton solutions[J]. 中国物理B, 2023, 32(4): 40203-040203.
[2]	Shubin Wang(王树斌), Xin Zhang(张鑫), Guoli Ma(马国利), and Daiyin Zhu(朱岱寅). All-optical switches based on three-soliton inelastic interaction and its application in optical communication systems[J]. 中国物理B, 2023, 32(3): 30506-030506.
[3]	Xuefeng Zhang(张雪峰), Tao Xu(许韬), Min Li(李敏), and Yue Meng(孟悦). Quantitative analysis of soliton interactions based on the exact solutions of the nonlinear Schrödinger equation[J]. 中国物理B, 2023, 32(1): 10505-010505.
[4]	Xi-zhong Liu(刘希忠) and Jun Yu(俞军). A nonlocal Boussinesq equation: Multiple-soliton solutions and symmetry analysis[J]. 中国物理B, 2022, 31(5): 50201-050201.
[5]	Jun-Cai Pu(蒲俊才), Jun Li(李军), and Yong Chen(陈勇). Soliton, breather, and rogue wave solutions for solving the nonlinear Schrödinger equation using a deep learning method with physical constraints[J]. 中国物理B, 2021, 30(6): 60202-060202.
[6]	Manna Chen(陈曼娜), Hongcheng Wang(王红成), Hai Ye(叶海), Xiaoyuan Huang(黄晓园), Ye Liu(刘晔), Sumei Hu(胡素梅), and Wei Hu(胡巍). Collapse arrest in the space-fractional Schrödinger equation with an optical lattice[J]. 中国物理B, 2021, 30(10): 104206-104206.
[7]	王丽丽, 刘文军. Stable soliton propagation in a coupled (2+1) dimensional Ginzburg-Landau system[J]. 中国物理B, 2020, 29(7): 70502-070502.
[8]	宋丽军, 徐晓雅, 王艳. Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schrödinger equation[J]. 中国物理B, 2020, 29(6): 64211-064211.
[9]	康周正, 夏铁成, 马茜. Multi-soliton solutions for the coupled modified nonlinear Schrödinger equations via Riemann-Hilbert approach[J]. 中国物理B, 2018, 27(7): 70201-070201.
[10]	徐思齐, 耿献国. N-soliton solutions for the nonlocal two-wave interaction system via the Riemann-Hilbert method[J]. 中国物理B, 2018, 27(12): 120202-120202.
[11]	宋彩芹, 肖冬梅, 朱佐农. Soliton and rogue wave solutions of two-component nonlinear Schrödinger equation coupled to the Boussinesq equation[J]. 中国物理B, 2017, 26(10): 100204-100204.
[12]	李近元, 方念乔, 张吉, 薛玉龙, 王雪木, 袁晓博. (2+1)-dimensional dissipation nonlinear Schrödinger equation for envelope Rossby solitary waves and chirp effect[J]. 中国物理B, 2016, 25(4): 40202-040202.
[13]	姜海波, 张丽萍, 于建江. Complex dynamics analysis of impulsively coupled Duffing oscillators with ring structure[J]. , 2015, 24(2): 20502-020502.
[14]	刘期怀, 邢明燕, 李新祥, 王超. Unstable and exact periodic solutions of three-particles time-dependent FPU chains[J]. 中国物理B, 2015, 24(12): 120401-120401.
[15]	李秋艳, 王双进, 李再东. Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential[J]. 中国物理B, 2014, 23(6): 60310-060310.

A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation

A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik－Novikov－Veselov equation

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0