The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation | Zendy

Changhao Zhang | Zendy; Guiying Chen | Zendy

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

Author(s) -

Changhao Zhang,

Guiying Chen

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/5569909

Subject(s) - korteweg–de vries equation , bilinear interpolation , soliton , bilinear form , collision , mathematics , mathematical analysis , dispersion relation , elasticity (physics) , dispersion (optics) , elastic collision , mathematical physics , physics , nonlinear system , quantum mechanics , computer science , statistics , computer security , thermodynamics , electron

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.

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