On solitary wave solutions for the two-dimensional nonlinear modified Kortweg–de Vries–Burger equation

A.M. Abourabia and M.M. El Horbaty

Chaos, Solitons & Fractals, 2006, vol. 29, issue 2, 354-364

Abstract: In this paper, we construct an analytic solution of the nonlinear modified Kortweg–de Vries–Burger equation. By applying a special solution of Cole–Hopf transformation to an ordinary differential equation, we propose a bounded travelling wave solution u(x,y,t)=U(ξ) where ξ=kx+ly−wt, to the two-dimensional nonlinear modified Kortweg–de Vries–Burger equation. We use Jacobian and rational methods to calculate the solitary wave solutions for the two-dimensional modified Kortweg–de Vries–Burger equation.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:29:y:2006:i:2:p:354-364

DOI: 10.1016/j.chaos.2005.08.112

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