Instability of solitary wave solutions for the generalized BO-ZK equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:247

Article

Esfahani, Amin¹  Pastor, Ademir¹ 

[1] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

关键词: Nonlinear PDE;    Solitary wave solution;    Nonlinear instability;   

DOI  :  10.1016/j.jde.2009.09.014

来源: Elsevier

【 摘 要 】

In this paper we Study the generalized BO-ZK equation in two space dimensions u(t) + u(p)u(x) + alpha Hu(xx) + epsilon u(xyy) = 0. We review the existence theory for solitary waves and prove that they are nonlinearly unstable if p belongs to the range 4/3 < p < 4. We also establish Strichartz-type estimates. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free