Dynamic behavior of traveling wave solutions for new couplings of the Burgers equations with time-dependent variable coefficients

Advances in Difference Equations

Husein M Jaradat¹ 

[1] Department of Mathematics, Al al-Bayt University, Mafraq, Jordan

关键词: Hirota bilinear method;    multiple-kink solutions;    coupled Burgers equations;   

DOI  :  10.1186/s13662-017-1223-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we develop the nonlinear integrable couplings of Burgers equations with time-dependent variable coefficients. A new simplified bilinear method is used to obtain new multiple-kink solutions and multiple-singular-kink solutions for this system. The proposed system is a generalization model in ocean dynamics, plasma physics and nonlinear lattice. The effects of time-variable coefficients on the velocity, phase and amplitude are given. The solitonic propagation and collision are discussed by the graphical analysis and characteristic-line method.

【 授权许可】

CC BY