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Title: Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations

In this paper, we study peakon, cuspon, and pseudo-peakon solutions for two generalized Camassa-Holm equations. Based on the method of dynamical systems, the two generalized Camassa-Holm equations are shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, pseudo-peakons, and periodic cusp solutions. In particular, the pseudo-peakon solution is for the first time proposed in our paper. Moreover, when a traveling system has a singular straight line and a heteroclinic loop, under some parameter conditions, there must be peaked solitary wave solutions appearing.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004 (China)
  2. (China)
  3. Department of Mathematics, The University of Texas Pan-American, 1201 West University Drive, Edinburg, Texas 78541 (United States)
Publication Date:
OSTI Identifier:
22251787
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CUSPED GEOMETRIES; EQUATIONS; MATHEMATICAL SOLUTIONS; PEAKS; PERIODICITY