Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation

Jun Liu; Xi Liu; Gui Mu; Chunyan Zhu; Jie Fu

doi:10.1155/2013/230871

Abstract and Applied Analysis (Jan 2013)

Analysis of Stability of Traveling Wave for Kadomtsev-Petviashvili Equation

Jun Liu,
Xi Liu,
Gui Mu,
Chunyan Zhu,
Jie Fu

Affiliations

Jun Liu: College of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, China
Xi Liu: College of Information Science and Engineering, Yunnan University, Kunming, Yunnan 650091, China
Gui Mu: College of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, China
Chunyan Zhu: College of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, China
Jie Fu: College of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, China

DOI: https://doi.org/10.1155/2013/230871
Journal volume & issue: Vol. 2013

Abstract

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This paper presents the boundedness and uniform boundedness of traveling wave solutions for the Kadomtsev-Petviashvili (KP) equation. They are discussed by means of a traveling wave transformation and Lyapunov function.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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