TRAVELING WAVE EXACT SOLUTIONS FOR GENERAL SINE-GORDON EQUATION
S. P. Joseph
Several variants of Sine-Gordon equations are used to describe various physical phenomena in nonlinear optics, propagation of fluxons in Josephson junctions charge density materials and in many other fields. A general double Sine-Gordon equation is considered in this paper and several new exact solutions are derived. The solutions are derived in terms of Jacobi elliptic functions using traveling wave ansatz method.
Keywords: Double Sine-Gordon equation, Exact solutions, Periodic solutions, Jacobi elliptic functions.