The B

Arnous, Ahmad Hasan; Mirzazadeh, Mohammad; Eslami, Mostafa

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

Document Type : Research Paper

Authors

¹ Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt

² Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

³ Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

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.

Keywords