A nonlinear transformation and a boundary-initial value problem for a class of nonlinear convection-diffusion equations

被引：1

作者：

Wang, ML

Jiang, SG

Bai, X

机构：

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

[2] Southeastern Univ, Dept Math, Nanjing 210096, Peoples R China

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 01期

关键词：

nonlinear transformation; convection-diffusion PDE; boundary-initial value problem; exact explicit solutions;

D O I：

10.1016/S0252-9602(17)30584-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With the aid of a nonlinear transformation, a class of nonlinear convection-diffusion PDE in one space dimension is converted into a linear one, the unique solution of a nonlinear boundary-initial value problem for the nonlinear PDE can be exactly expressed by the nonlinear transformation, and several illustrative examples are given.

引用

页码：114 / 120

页数：7

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