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The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations | ||
Computational Methods for Differential Equations | ||
مقاله 2، دوره 2، شماره 4، دی 2014، صفحه 216-226 اصل مقاله (148.79 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
Ahmad Hasan Arnous1؛ Mohammad Mirzazadeh* 2؛ Mostafa Eslami3 | ||
1Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt | ||
2Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
3Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Complex nonlinear wave equations؛ Exact solutions؛ B"{a}cklund transformation method of Riccati equation | ||
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