Topological and Non-Topological Soliton Solutions of the Coupled Klein-Gordon-Schrodinger and the Coupled Quadratic Nonlinear Equations

Abstract

Abstract:In this paper, two solitary wave solutions are obtained for the Coupled Klein-Gordon-Schrodinger and Coupled quadratic nonlinear equations by the ansatz method. Both topological and non-topological solitary wave solutions are obtained.

Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor–capacitor network

“…[48] Several variants of this approach can be distinguished depending on the specific auxiliary function. They include the G /G-expansion method, [49][50][51] the exp-expansion method, [52,53] the extended F-expansion method, [54] the tanh method, [55,56] the Jacobi elliptic function rational expansion method, [57] the generalized Riccati equation mapping method, [58] the bifurcation method of dynamical system, [59][60][61][62][63] and the sine-Gordon expansionmethod, [64][65][66] among others. It is important to point out that, when several of these methods are applicable to a given equation, they lead to different forms of solutions that are however equivalent to one another; see Ref.…”