Exact solutions of nonlinear PDE, nonlinear transformations and reduction of nonlinear PDE to a quadrature

被引：110

作者：

Yang, L ^{[1
]}

Liu, JB ^{[1
]}

Yang, KQ ^{[1
]}

机构：

[1] Lanzhou Univ, Dept Phys, Lanzhou 730000, Peoples R China

来源：

PHYSICS LETTERS A | 2001年 / 278卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Mathematical transformations - Partial differential equations;

D O I：

10.1016/S0375-9601(00)00778-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method to construct the exact solution of the PDE is presents, which combines the two kind methods - the nonlinear transformation and RQ (reduction of the PDE to a quadrature problem) method. The nonlinear diffusion equation is chosen to illustrate the method and the exact solutions are obtained. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：267 / 270

页数：4

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