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Traveling solitary wave solutions to evolution equations with nonlinear terms of any order

✍ Scribed by Zhaosheng Feng

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
131 KB
Volume
17
Category
Article
ISSN
0960-0779

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✦ Synopsis

Many physical phenomena in one-or higher-dimensional space can be described by nonlinear evolution equations, which can be reduced to ordinary differential equations such as the Lienard equation. Thus, to study those ordinary differential equations is of significance not only in mathematics itself, but also in physics. In this paper, a kind of explicit exact solutions to the Lienard equation is obtained. The applications of the solutions to the nonlinear RR-equation and the compound KdV-type equation are presented, which extend the results obtained in the previous literature.

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