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New infinite sequences exact solutions to sine-Gordon-type equations

Taogetusang

New infinite sequences exact solutions to sine-Gordon-type equations

Taogetusang
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  • Abstract views:  4070
  • PDF Downloads:  696
  • Cited By: 0
Publishing process
  • Received Date:  27 July 2010
  • Accepted Date:  08 October 2010
  • Published Online:  15 July 2011

New infinite sequences exact solutions to sine-Gordon-type equations

  • 1. College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China

Abstract: In order to obtain infinite sequence exact solutions to the sine-Gordon-type equations, the auxiliary equations of triangular function type and hyperbolic function type, Bäcklund transformation and nonlinear superposition formula of the solutions are presented. And the method is used to construct new infinite sequence exact solutions to the sine-Gordon equation, mKdV-sine-Gordon equation, (n+1)- dimensional double sine-Gordon equation and the sinh-Gordon equation with the help of symbolic computation system Mathematica, which include infinite sequence triangular function solutions, the infinite sequence hyperbolic function solutions, infinite sequence Jacobi elliptic function solutions and infinite sequence computation solutions.

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