Abstract

A new method for constructing exact solutions of nonlinear equations of mathematical physics is proposed. The method is based on nonlinear integral transformations in combination with the splitting principle. The effectiveness of the method is illustrated by nonlinear reaction–diffusion equations that involve two or three arbitrary functions. New exact functional separable solutions and generalized traveling-wave solutions are presented.

中文翻译：

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关于构造数学物理非线性方程精确解的一种方法

摘要

提出了一种构造数学物理非线性方程精确解的新方法。该方法基于非线性积分变换并结合分裂原理。涉及两个或三个任意函数的非线性反应扩散方程式说明了该方法的有效性。提出了新的精确功能可分离解和广义行波解。