Soliton solutions and their degenerations in the (2+1)-dimensional Hirota-Satsuma-Ito equations with time-dependent linear phase speed

被引：12

作者：

Chen, Xin ^{[1
]}

Liu, Yaqing ^{[1
]}

Zhuang, Jianhong ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 11期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Hirota-Satsuma-Ito equations; Time-dependent coefficient; Soliton solution; Painleve analysis; Hirota bilinear method; BACKLUND TRANSFORMATION; VARIABLE-COEFFICIENTS; EVOLUTION-EQUATIONS; LUMP SOLUTIONS; WAVE;

D O I：

10.1007/s11071-023-08348-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper focuses on the exact soliton solutions of the (2+1)-dimensional generalized Hirota-Satsuma-Ito equations with time-dependent linear phase speed. Based on the Painleve integrability test of this equation, the condition of the integrability is determined. Then the general N-soliton solutions are constructed by Hirota bilinear method. Not only the expressions of exact solutions and their degenerations, but also the spatial structures are presented for different choices of the parameters, including the line soliton, periodic soliton, lump soliton and their interaction forms.

引用

页码：10367 / 10380

页数：14

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