International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Review

Auto-Bäcklund transformation and singular solutions for the generalized coupled Camassa-Holm equation

Lu Sun* and Lixin Tian
Nonlinear Scientific Research Center, Postdoctor Research Station of Management Science and Engineering, Jiangsu University, Zhenjiang, Jiangsu, 212013, People Republic of China.
Email: [email protected]

  •  Accepted: 14 November 2011
  •  Published: 31 December 2011

Abstract

 

Auto-Bäcklund transformation and Weiss-Tabor-Carnevale (WTC)-kruskal algorithm are applied for the coupled Camassa-Holm equation in this paper. Four regular solitons including blow-up waves and compactons are given by the ansatz method. Then, an auto-Bäcklund transformation of the coupled equation is obtained. Thus, we observe that based on the solitons we get before, some singular solitons are derived which we have not found before.

 

Key words: Coupled Camassa-Holm equation, Weiss-Tabor-Carnevale (WTC) test, auto-Bäcklund transformation.

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