Multiple soliton solutions for a new generalization of the associated Camassa-Holm equation by exp-function method (Q1718330)

Summary: The Exp-function method is generalized to construct \(N\)-soliton solutions of a new generalization of the associated Camassa-Holm equation. As a result, one-soliton, two-soliton, and three-soliton solutions are obtained, from which the uniform formulae of \(N\)-soliton solutions are derived. It is shown that the Exp-function method may provide us with a straightforward, effective, and alternative mathematical tool for generating \(N\)-soliton solutions of nonlinear evolution equations in mathematical physics.