Topological Soliton and Other Exact Solutions to KdV-Caudrey-Dodd-Gibbon Equation

摘要

This paper studies the KdV-Caudrey-Dodd-Gibbon equation. The modified F-expansion method, exp-function method as well as the G′/G method are used to extract a few exact solutions to this equation. Later, the ansatz method is used to obtain the topological 1-soliton solution to this equation. The constraint conditions are also obtained that must remain valid for the existence of these solutions.