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

Publish Year: 1393
Type: Journal paper
Language: English
View: 175

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Document National Code:

JR_CMDE-2-4_002

Index date: 6 March 2023

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

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.

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

Complex nonlinear wave equations , Exact solutions , B {a}cklund transformation method of Riccati equation

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

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