scholarly journals N-soliton solutions and long-time asymptotic analysis for a generalized complex Hirota–Satsuma coupled KdV equation

2020 ◽  
Vol 106 ◽  
pp. 106370
Author(s):  
Jian-Ping Yu ◽  
Yong-Li Sun ◽  
Fu-Dong Wang
Keyword(s):  
Asymptotic Analysis ◽  
Kdv Equation ◽  
Soliton Solutions ◽  
Generalized Complex ◽  
Coupled Kdv Equation ◽  
Long Time

scholarly journals The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Changhao Zhang ◽  
Guiying Chen
Keyword(s):  
Asymptotic Behavior ◽  
Soliton Solution ◽  
Kdv Equation ◽  
Soliton Solutions ◽  
Elastic Collision ◽  
Hirota’S Bilinear Method ◽  
Bilinear Method ◽  
Coupled Kdv Equation ◽  
Long Time ◽  
The One

A general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton solution are constructed. Moreover, the elasticity of the collision between two solitons is proved by analyzing the asymptotic behavior of the two-soliton solution. Some figures are displayed to illustrate the process of elastic collision.

Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid

2016 ◽  
Vol 27 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Zi-Jian Xiao ◽  
Bo Tian ◽  
Hui-Ling Zhen ◽  
Jun Chai ◽  
Xiao-Yu Wu
Keyword(s):  
Bäcklund Transformation ◽  
Kdv Equation ◽  
Soliton Solutions ◽  
Backlund Transformation

Soliton solutions to KdV equation with spatio-temporal dispersion

2016 ◽  
Vol 114 ◽  
pp. 192-203 ◽  
Author(s):  
Houria Triki ◽  
Turgut Ak ◽  
Seithuti Moshokoa ◽  
Anjan Biswas
Keyword(s):  
Kdv Equation ◽  
Soliton Solutions ◽  
Spatio Temporal ◽  
Temporal Dispersion
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