Abstract
By the complete discrimination system for polynomials, we classify exact traveling wave solutions to the Coupled-Higgs Equation.
Highlights
There are many methods to study the exact traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion method [2], homogeneous balance method [3], (G′ G) -expansion method [4], and so on
Some new traveling wave solutions were obtained to the Zhiber-Shabat Equation [6]
We focus on the Coupled-Higgs Equation to classify its traveling wave solutions
Summary
There are many methods to study the exact traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion method [2], homogeneous balance method [3], (G′ G) -expansion method [4], and so on. Liu [5] introduced the complete discrimination system method to give the classification of exact traveling wave solutions to some nonlinear equations, the method is simple and efficient. Using this method, some new traveling wave solutions were obtained to the Zhiber-Shabat Equation [6]. We focus on the Coupled-Higgs Equation to classify its traveling wave solutions. A. Jabbari et al [4] have got some traveling wave solutions to the Coupled-Higgs Equation. By Liu’s method, we’ll classify exact traveling wave solutions to the Coupled-Higgs Equation
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