An explicit Backlund transformation of Burgers equation with applications

被引：0

作者：

Lü, ZS ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2005年 / 44卷 / 06期

关键词：

Burgers equation; Backlund transformation; exact solution;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, an explicit Bicklund transformation (BT) of the Burgers equation is obtained by using the further extended tanh method [Phys. Lett. A 307 (2003) 269; Chaos, Solitons & Fractals 17 (2003) 669]. Based on the BT and some newly obtained seed solutions, infinite sequences of exact solutions for the Burgers equation are generated. Further more, this BT of the Burgers equation is applied to solve the variant Boussinesq equations and the approximate equations of long water wave.

引用

页码：987 / 989

页数：3

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