Solitary Wave Solutions and Periodic Wave Solutions of the B(m,n) Equation with Generalized Evolution Term
β Scribed by Wei Li; Yun-Mei Zhao; Yu-Min Ding
- Book ID
- 113107394
- Publisher
- Springer-Verlag
- Year
- 2012
- Tongue
- English
- Weight
- 385 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0971-3514
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π SIMILAR VOLUMES
This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove
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,