The Sine-Gordon-Equation with perturbation terms of power Jacobian elliptic functions

摘要

In this paper the Sine-Gordon-Equation (SGE) with some solvable perturbations is discussed in detail as well as physical conclusions are drawn. Unlike the usual form of perturbations in terms of trigonometric and hyperbolic functions, here, it is assumed that inhomogeneous terms appear as elliptic functions in quadratic powers. One suggests employing the analytic means for the investigation of some properties of special perturbed SGE which now has to be renamed into Jacobian-Gordon-Equation (JGE). New classes of JGE are introduced.