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On the uniform bound of solutions for the KP-type equations

โœ Scribed by Jianqing Chen; Baofeng Feng; Yue Liu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
315 KB
Volume
71
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

We determine here the conditions to obtain the uniform bound of solutions of a generalized rotation-modified Kadomtsev-Petviashvili equation and a generalized Kadomtsev-Petviashvili coupled with a Benjamin-Ono equation. These conditions are constructed in terms of the best constant of the two dimensional anisotropic Sobolev inequality.

๐Ÿ“œ SIMILAR VOLUMES

On exact travelling wave solutions for t
On exact travelling wave solutions for two types of nonlinear equations and a generalized KP equation
โœ Shaoyong Lai; Y.H. Wu; B. Wiwatanapataphee ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 154 KB

In this paper, we study two types of genuinely nonlinear K(n, n) equations and a generalized KP equation. By developing a mathematical method based on the reduction of order of nonlinear differential equations, we derive general formulas for the travelling wave solutions of the three equations. The