Article ID Journal Published Year Pages File Type
4626932 Applied Mathematics and Computation 2015 5 Pages PDF
Abstract

Under the assumption that u′u′ is a function form of einueinu, this paper presents a new set of traveling-wave solutions with JacobiAmplitude   function for the generalized form of the double Sine–Gordon equation utt=kuxx+2αsin(nu)+βsin(2nu)utt=kuxx+2αsin(nu)+βsin(2nu). The presented solutions are compared to previous ones which are derived from Tanh method and other variable separated method. We find that some special case of the proposed solutions (fixing the integral constant to a particular value) involve in some previous results presented in Wazwaz (2006).

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
,