Multiple Soliton Solutions for a New Generalization of the Associated Camassa‐Holm Equation by Exp‐Function Method

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.