Burgers equation with time-dependent coefficients and nonlinear forcing term: Linearization and exact solvability

被引：8
|
作者：
Schulze-Halberg, Axel [1 ,2 ]
机构：
[1] Indiana Univ Northwest, Dept Math & Actuarial Sci, Gary, IN 46408 USA
[2] Indiana Univ Northwest, Dept Phys, Gary, IN 46408 USA
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 22卷 / 1-3期
关键词：
Forced Burgers equation; Linearization; Point transformation; Exceptional orthogonal polynomials; SOIL-WATER FLOW; STANDING WAVES;
D O I：
10.1016/j.cnsns.2014.08.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct and discuss a linearization method for solving Burgers equation with time-dependent coefficients and a nonlinear forcing term. Our results are shown to contain and generalize recent findings (Miskinis, 2001; Buyukasik and Pashaev, 2013). As applications of our method we solve several initial-and boundary-value problems for Burgers equation with forcing of sinusoidal, polynomial, as well as X-1-Laguerre exceptional orthogonal polynomial type. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：1068 / 1083
页数：16
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