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.
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页码：114 / 120
页数：7
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