Article ID Journal Published Year Pages File Type
759136 Communications in Nonlinear Science and Numerical Simulation 2013 5 Pages PDF
Abstract

Using the variational-asymptotic method we develop the theory of slope modulation of wave packet governed by sine–Gordon equation. A class of asymptotic solutions to the equation of slope modulation is found in terms of the density of solitons. The comparison with the exact n-soliton solution of sine–Gordon equation shows quite excellent agreement.

► The equation of slope modulation is obtained by the variational-asymptotic method. ► A class of asymptotic solutions is found in terms of the density of solitons. ► An asymptotic law for the envelop of the slope of n-soliton solution is established. ► Comparison with the exact n-soliton solution shows excellent agreement.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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