Evolution and emergence of new lump and interaction solutions to the (2+1)- dimensional Nizhnik-Novikov-Veselov system

被引：10

作者：

Tan, Wei ^{[1
,2
]}

Liu, Jun ^{[3
]}

Xie, Jing-Li ^{[1
]}

机构：

[1] Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[3] Qujing Normal Univ, Inst Appl Math, Qujing 655011, Peoples R China

来源：

PHYSICA SCRIPTA | 2019年 / 94卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Nizhnik-Novikov-Veselov system; lump solution; breather wave; interaction; degradation and oscillation; Hirota's bilinear method; SOLITON-SOLUTIONS; ROGUE WAVES; INTEGRABILITY; EQUATION;

D O I：

10.1088/1402-4896/ab2cdc

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exploiting Hirota's bilinear method, we investigate N-soliton solutions, N-order rational solutions, and M-order lump solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov system. Based on this foundation, different forms of breather wave solutions and lump solutions are obtained by using the parameter limit method. Besides, by constructing a new test function, we study the interaction between lump solutions and soliton solutions of different types, such as the rational-cosh type, rational-cosh-cos type, and rational-cos type. Meanwhile, we also provide a large number of images of the evolution of the spatial structure by selecting different parameter values in order to better show the asymptotic behavior of the exact solution obtained in this paper.

引用

页数：12

共 47 条

[31] Rogue Waves and New Multi-wave Solutions of the (2+1)-Dimensional Ito Equation
Tian, Ying-hui
Dai, Zheng-de
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (06): : 437 - 443
[32] Veselov A.P., 1984, Soviet Math. Dokl, V30, P588
[33] Lump solution and integrability for the associated Hirota bilinear equation
Wang, Chuanjian
[J]. NONLINEAR DYNAMICS, 2017, 87 (04) : 2635 - 2642
[34] Dynamic behaviors of bright and dark rogue waves for the (2+1) dimensional Nizhnik-Novikov-Veselov equation
Wang, Chuanjian
Dai, Zhengde
[J]. PHYSICA SCRIPTA, 2015, 90 (06)
[35] Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
Wang, Deng-Shan
Guo, Boling
Wang, Xiaoli
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (09) : 5209 - 5253
[36] Integrability aspects of some two-component KdV systems
Wang, Deng-Shan
Liu, Jiang
[J]. APPLIED MATHEMATICS LETTERS, 2018, 79 : 211 - 219
[37] Long-time asymptotics and the bright N-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
Wang, Deng-Shan
Wang, Xiaoli
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 334 - 361
[38] Wang DS, 2016, ROM J PHYS, V61, P827
[39] New solitary wave and periodic wave solutions to the (2+1)-dimensional Nizhnik-Novikov-Veselov system
Wazwaz, Abdul-Majid
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 1584 - 1591
[40] Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik-Novikov-Veselov equations
Wazwaz, Abdul-Majid
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (22) : 11344 - 11349

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