Solution of the asymmetric double sine-Gordon equation
Abstract
We present solutions of asymmetric double sine-Gordon equation (DSGE) of an infinite system based on Mobius transformation and numerical exercise. This method is able to give the forms of the solutions for all the region on the φ-η parameter plane where φ is an additional phase and η is the ratio of the magnitudes of two sine terms. We are able to show how the deconfinement occurs near φ=(1/2+n)π and φ=n pi. and also find the solution for all values of φ. We predict different kind of solutions and transitions among them in different parts of the parameter space of this equation.
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