The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations

نویسندگان

  • Ahmad Hasan Arnous Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt
  • Mohammad Mirzazadeh Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  • Mostafa Eslami Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
چکیده مقاله:

In this paper, we establish new exact solutions for some complex nonlinear wave equations. The B"{a}cklund transformation method of Riccati equation is used to construct exact solutions of the Hamiltonian amplitude equation and the coupled Higgs field equation. This method presents a wide applicability to handling nonlinear wave equations. These equations play a very important role in mathematical physics and engineering sciences. Obtained solutions may also be important of significance for the explanation of some practical physical problems.

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عنوان ژورنال

دوره 2  شماره 4

صفحات  216- 226

تاریخ انتشار 2014-10-01

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