The mixed solutions of the (2+1)-dimensional Hirota-Satsuma-Ito equation and the analysis of nonlinear transformed waves

被引：10

作者：

An, Yong-Ning ^{[1
]}

Guo, Rui ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 19期

基金：

中国国家自然科学基金;

关键词：

(2+1)-Dimensional Hirota-Satsuma-Ito equation; Hirota bilinear method; Long wave limit; method; Mixed solutions; Nonlinear transformed; waves; SOLITON-SOLUTIONS; BACKLUND TRANSFORMATION; RATIONAL SOLUTIONS; BILINEAR METHOD; LUMP SOLUTIONS;

D O I：

10.1007/s11071-023-08791-2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we obtain the N-soliton solution for the (2 + 1)-dimensional Hirota-Satsuma- Ito equation by the Hirota bilinear method. On this basis, the breathers and lumps can be obtained using the complex conjugate parameter as well as the long wave limit method, and the mixed solutions containing them are investigated. Then, different nonlinear transformed waves are obtained from breathers and lumps under specific conditions, which include quasi-anti dark soliton, M-shaped soliton, oscillation M-shaped soliton, multi-peak soliton, quasi-periodic soliton and W-shaped soliton. Finally, on the basis of the two breather solutions, we discuss in detail the mixed solutions consisting of one breather and one nonlinear transformed wave, and the mixed solutions formed by two nonlinear transformed waves.

引用

页码：18291 / 18311

页数：21

共 71 条

[11] Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation [J].

Chen, Junchao ;

Ma, Zhengyi ;

Hu, Yahong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 460 (02) :987-1003

[12] Moving breathers and breather-to-soliton conversions for the Hirota equation [J].

Chowdury, A. ;

Ankiewicz, A. ;

Akhmediev, N. .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2015, 471 (2180)

[13] Breather-to-soliton conversions described by the quintic equation of the nonlinear Schrodinger hierarchy [J].

Chowdury, A. ;

Kedziora, D. J. ;

Ankiewicz, A. ;

Akhmediev, N. .

PHYSICAL REVIEW E, 2015, 91 (03)

[14] SOLITON PROPAGATION IN MULTIMODE OPTICAL FIBERS [J].

CROSIGNANI, B ;

DIPORTO, P .

OPTICS LETTERS, 1981, 6 (07) :329-330

[15] Soliton solutions in nonlocal nonlinear coupler [J].

Dang, Ya-Lin ;

Li, Hui-Jun ;

Lin, Ji .

NONLINEAR DYNAMICS, 2017, 88 (01) :489-501

[16] Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrodinger system in an inhomogeneous plasma [J].

Ding, Cui-Cui ;

Gao, Yi-Tian ;

Deng, Gao-Fu ;

Wang, Dong .

CHAOS SOLITONS & FRACTALS, 2020, 133

[17] Three-dimensional lumped mass/lumped spring modeling and nonlinear behavior of a levitated droplet [J].

Dupac, M ;

Beale, DG ;

Overfelt, RA .

NONLINEAR DYNAMICS, 2005, 42 (01) :25-42

[18] Nonlinear hybrid systems and control in social and natural sciences [J].

Dutta, Hemen ;

Cortes, Juan Carlos ;

Agarwal, Ravi P. .

CHAOS SOLITONS & FRACTALS, 2022, 165

[19] A Riemann-Hilbert approach for a new type coupled nonlinear Schrodinger equations [J].

Guo, Boling ;

Liu, Nan ;

Wang, Yufeng .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 459 (01) :145-158

[20] Anti-dark solitons in a single mode fiber laser [J].

Guo, Jun ;

Hu, Xiao ;

Ma, Jie ;

Zhao, Luming ;

Shen, Deyuan ;

Tang, Dingyuan .

PHYSICS LETTERS A, 2021, 395

← 1 2 3 4 5 6 7 8 →