Solutions of the Generalized Rotation-Modified Kadomtsev-Petviashvili Equation-Reference-Cited by-同舟云学术

Solutions of the Generalized Rotation-Modified Kadomtsev-Petviashvili Equation

Published:2010-05-01 Issue:2 Volume:10 Page:413-432
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Chen Jianqing¹,Liu Yue²

Affiliation:

1. School of Mathematics and Computer Science Fujian Normal University, Fuzhou, 350007, P. R. China

2. Department of Mathematics University of Texas, Arlington, TX 76019, USA

Abstract

Abstract The rotation-modified Kadomtsev-Petviashvili equation is a modification of the Kadomtsev-Petviashvili (KP) equation widely used to describe the effects of rotation on small-amplitude, long waves propagating in one primary direction. In this paper we investigate conditions for the finite-time blow-up solutions and the uniform bounds of the solution of the generalized rotation-modified Kadomtsev-Petviashvili equation. The conditions are expressed in terms of the energy and the best constant of the anisotropic Sobolev inequality.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2010-0209/pdf

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