Family of nonlinearwave equations which yield loop solutions and solitary wavesolutions

Jibin Li

doi:10.3934/dcds.2009.24.897

Article Contents

2009, Volume 24, Issue 3: 897-907. Doi: 10.3934/dcds.2009.24.897

This issue Previous Article Co-existence of traveling waves for a model of microbial growth and competition in a flow reactor Next Article Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem

Family of nonlinear wave equations which yield loop solutions and solitary wave solutions

Jibin Li^1,

1.
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004

Received: August 2007

Revised: December 2007

Published: August 2009

Abstract / Introduction Related Papers Cited by

Abstract

This paper gives a family of nonlinear wave equations, which can yield so called loop solution, cusp wave solution and solitary wave solution depending on the values of parameter $A$. For two third order systems, the dynamical behavior of these solutions are considered. The exact explicit parametric representations of solitary wave solutions and periodic wave solutions are given. It concerns with the properties of singular traveling wave systems.

Keywords:

Mathematics Subject Classification: 34A05, 34C25-28, 34M55, 35Q51, 35Q53, 58F05, 58F14, 58F30.

Citation:

Article Metrics

HTML views() PDF downloads(82) Cited by(0)

Family of nonlinear wave equations which yield loop solutions and solitary wave solutions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Family of nonlinear wave equations which yield loop solutions and solitary wave solutions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content