Soliton solutions of nonlinear wave equation in finite de-formation elastic cylindrical rod by solitary wave ansatz method

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    In this paper, we consider nonlinear wave equation in finite deformation elastic cylindrical rod and obtain soliton solutions by Solitary Wave Ansatz method. It is shown that the ansatz method provides a very effective and powerful mathematical tool for obtaining solutions for Nonlinear Evolution Equations (NLEEs) in nonlinear Science.

    Elastic Rod; Finite Deformation; Nonlinear Wave Equation; Solitary Wave Ansatz Method; Soliton.


  • Keywords


    Elastic Rod; Finite Deformation; Nonlinear Wave Equation; Solitary Wave Ansatz Method; Soliton.

  • References


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      [2] S. Y. Zhang and Z. F. Liu, Three kinds of nonlinear dispersive waves in elastic rods with finite deformation, Appl. Math. Mech. Engl. Ed. 29 (7) (2008) 909 – 917.

      [3] Guo Peng, Zhang Lei, Lu Ke-pu and Duan Wen-Shan, Solutions of nonlinear wave equation of elastic rod, Appl. Math. Mech. –Engl. Ed., 29 (1) (2008) 61-66.

      [4] Peng Guo, Guixin Wan, Xiao Yun Wang and Xiao Wei Sun, New Soliton and Periodic Solutions for Nonlinear Wave Equation in Finite Deformation Elastic Rod, Int. J. Nonlinear Science 15 (2) (2013) 182- 192.

      [5] Marwan Alquran, Bright and Dark Soliton Solutions to the Ostrovsky Benjamin – Bona – Mahony (OS – BBM) Equation, J. Math. Com put. Sci. 2 (1) (2012) 15 – 22.

      [6] K.S. Ghafri, Analytic solutions of the Thomas equation by generalized tanh and travelling wave hypothesis methods, IJAMR 2 (2) (2013) 274 – 278.


 

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Article ID: 5823
 
DOI: 10.14419/ijpr.v4i1.5823




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