Abstract
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.
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