In this paper, the (2+1)-dimensional q-deformed Sinh-Gordon model has been investigated via (G?G,1G)-expansion and Sine-Gordon-expansion methods. These techniques successfully retrieve trigonometric as well hyperbolic solutions, along necessary restricted conditions applied on parameters. addition to these dark solitons complexiton solutions have also obtained. The proposed equation expands pos...

A continuous sequence of infinitesimal unitary transformations, combined with an operator product expansion for vertex operators, is used to diagonalize the quantum sine-Gordon model for b2 [ 2p,` . The leading order of this approximation already gives very accurate results for the singleparticle gap in the strong-coupling phase. This approach can be understood as an extension of perturbative s...

  In this paper, we establish exact solutions for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. The He’s semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations. We apply He’s semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the time-fractiona...

in this paper, nonlinear klein-gordon equation with quadratic term is solved by means of an analytic technique, namely the homotopy analysis method (ham).comparisons are made between the adomian decomposition method (adm), the exact solution and homotopy analysis method. the results reveal that the proposed method is very effective and simple.

In this paper, we find the exact solutions of some nonlinear evolution equations by using ( ′ G )expansion method. Four nonlinear models of physical significance i.e. the symmetric regularized longwave equation, the Klein-Gordon-Zakharov equations, the Burgers-Kadomtsev-Petviashvili equation and the nonlinear Schrödinger equation with a cubic nonlinearity are considered and obtained their exact...