New soliton solutions with graphical behavior to the coupled Higgs system by direct algebraic method

Abstract

In this paper direct algebraic method applied for the coupled Higgs equation. Based on this formulation, a solitary solution can be easily obtained using the Dam. As a result, hyperbolic function solutions, trigonometric function solutions and rational function solutions with free parameters are obtained. When the parameters are taken as special values the solitary wave solutions are also derived from the traveling wave solutions. Moreover, it is observed that the suggested technique is compatible with the physical nature of such problems.