Ahmad Hasan Arnous

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

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 mathemati...