Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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APPLICATION OF EXP-FUNCTION METHOD FOR A CLASS OF NONLINEAR PDE'S ARISING IN MATHEMATICAL PHYSICS

  • Parand, Kourosh (Department of Computer Sciences, Shahid Beheshti University) ;
  • Amani Rad, Jamal (Department of Computer Sciences, Shahid Beheshti University) ;
  • Rezaei, Alireza (Department of Computer Sciences, Shahid Beheshti University)
  • 투고 : 2010.04.29
  • 심사 : 2010.08.09
  • 발행 : 2011.05.30
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초록

In this paper we apply the Exp-function method to obtain traveling wave solutions of three nonlinear partial differential equations, namely, generalized sinh-Gordon equation, generalized form of the famous sinh-Gordon equation, and double combined sinh-cosh-Gordon equation. These equations play a very important role in mathematical physics and engineering sciences. The Exp-Function method changes the problem from solving nonlinear partial differential equations to solving a ordinary differential equation. Mainly we try to present an application of Exp-function method taking to consideration rectifying a commonly occurring errors during some of recent works.

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