Exact travelling wave solutions of some nonlinear evolutionary equations

被引：22

作者：

Vladimirov, VA ^{[1
]}

Kutafina, EV ^{[1
]}

机构：

[1] Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2004年 / 54卷 / 02期

关键词：

nonlinear evolutionary equations; travelling waves; exact solutions; qualitative analysis;

D O I：

10.1016/S0034-4877(04)80018-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A direct algebraic method of obtaining exact solutions to nonlinear PDE's is applied to certain set of nonlinear nonlocal evolutionary equations, including nonlinear telegraph equation, hyperbolic generalization of Burgers equation and some spatially nonlocal hydrodynamic-type model. Special attention is paid to the construction of the kink-like and soliton-like solutions.

引用

页码：261 / 271

页数：11

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