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

Short Communication

Multisoliton solutions to Hirota-Satsuma KdV system

Alvaro H. Salas
Department of Mathematics, Universidad de Caldas, Colombia. Universidad Nacional de Colombia, Manizales, Colombia
Email: [email protected]

  •  Accepted: 30 May 2011
  •  Published: 04 August 2011

Abstract

In this paper, we obtain one and two soliton solutions to Hirota-Satsuma KdV system with the aid of tanh method and the multiple exp method. We also obtain some rational solutions by using a rational ansatz. The system Hirota-Satsuma KdV system is reduced to a single nonlinear partial differential equation which is solved by the described methods.

 

Key words: Hirota-Satsuma KdV system, tanh method, multiple exp method one soliton solution, two soliton solution, HS coupled system.