New abundant solutions for the Burgers equation

  • Authors:
  • Alvaro H. Salas S.;Cesar A. Gomez S;Jairo Ernesto Castillo Hernańdez

  • Affiliations:
  • Department of Mathematics, Universidad de Caldas, Manizales-Colombia, Colombia and Universidad Nacional de Colombia, Campus la Nubia, Manizales, Colombia;Department of Mathematics, Universidad Nacional de, Colombia, Bogota-Colombia, Colombia;Departamento de Ciencias, Universidad Central, Bogotá-Colombia, Colombia and Department of Mathematics, Universidad Autónoma, Bogotá-Colombia, Colombia

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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Abstract

This paper applies a new modified Exp-function method to search for exact solitary solutions of the Burgers equation. Using the imaginary transformation suggested by He and Wu, solitary solutions can be easily converted into periodic or compacton-like solutions. Many new solutions are appearing for the first time in the open literature.