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

页码：1068 / 1083

页数：16

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