Journal of Jishou University(Natural Sciences Edition)

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Backlund Transformation and Exact Solutions of the Newell Equation

YUAN Ping,DENG Weiping   

  1. (1.Basic Courses Department,College of Art and Science,Yangtze University,Jingzhou 434020,Hubei China;2.Mathematics Teaching Center,Tianfu College of SWUFE,Mianyang 621000,Sichuan China)
  • Online:2017-03-25 Published:2017-04-26

Abstract:

For the solutions of Newell equation,which is widely used in nonlinear mathematical physics,the Backlund transformation and two groups of exact solutions with arbitary paramaters are obtained through the method of extended homogeneous balance. Compared with the results obtained through hyperbolic tangent method and the trial function method,the solutions in this paper are richer,and the method is feasible and effective.

Key words: homogeneous balance method, Backlund transformation, Newell equation, exact solution

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