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Arnous, Ahmad Hasan, Mirzazadeh, Mohammad, Eslami, Mostafa. (1393). The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations. سامانه مدیریت نشریات علمی, 2(4), 216-226.
Ahmad Hasan Arnous; Mohammad Mirzazadeh; Mostafa Eslami. "The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations". سامانه مدیریت نشریات علمی, 2, 4, 1393, 216-226.
Arnous, Ahmad Hasan, Mirzazadeh, Mohammad, Eslami, Mostafa. (1393). 'The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations', سامانه مدیریت نشریات علمی, 2(4), pp. 216-226.
Arnous, Ahmad Hasan, Mirzazadeh, Mohammad, Eslami, Mostafa. The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations. سامانه مدیریت نشریات علمی, 1393; 2(4): 216-226.

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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