Topological and non-topological soliton solutions of Hamiltonian amplitude equation by He’s semi-inverse method and ansatz approach

This paper obtains the exact 1-soliton solution to the Hamiltonian amplitude equation. There are two types of integration architectures that are implemented in this paper. They are the He’s semi-inverse method and the ansatz method. These soliton solutions are obtained. There are constraint conditions that also fall out which must remain valid in order for the solitons and other solutions to exist.