The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 96
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شناسه ملی سند علمی:
JR_CMDE-2-4_002
تاریخ نمایه سازی: 15 اسفند 1401
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.
کلیدواژه ها:
Complex nonlinear wave equations ، Exact solutions ، B {a}cklund transformation method of Riccati equation
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