On One Method for Constructing Exact Solutions of Nonlinear Equations of Mathematical Physics


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详细

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.

作者简介

A. Polyanin

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; National Research Nuclear University “Moscow Engineering Physics Institute”

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Email: polyanin@ipmnet.ru
俄罗斯联邦, Moscow, 119526; Moscow, 115409

A. Zhurov

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

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Email: zhurov@ipmnet.ru
俄罗斯联邦, Moscow, 119526


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