International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Symbolic computation of multisoliton solutions to generalized sixth-order KdV equation (KdV6)

Alvaro H. Salas1*, Orlando García Hurtado2 and Roberto Manuel Poveda Chaves2    
1Universidad de Caldas, Department of Mathematics, Universidad Nacional de Colombia, Campus la Nubia, Manizales, Caldas, Colombia. 2Facultad de Ingeniería Universidad Distrital "Francisco José de Caldas" Bogotá, Colombia.  
Email: [email protected]

  •  Accepted: 04 January 2012
  •  Published: 30 January 2012


One, two and three soliton solutions are formally derived for a generalized version of the sixth-order KdV equation (KdV6) by using the Cole-Hopf transform. A comparison with particular cases of recently discovered completely integrable KdV6 equations are considered to illustrate the results obtained.


Key words: Sixth-order KdV equation, , exact travelling wave solution, one soliton solution, two soliton solution, three soliton solution, multisoliton solution, solitary wave solution, Mathematica 8Maple 15.