Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota’s method, tanh–coth method and Exp-function method

The generalized short wave equation (GSWW) is studied by three distinct methods. The Hirota’s bilinear method is used to derive multiple-soliton solutions for the completely integrable forms of the GSWW equation. The tanh–coth method is used to obtain single-soliton solutions for this equation. The Exp-function method is also applied to derive a variety of travelling wave solutions with distinct physical structures for this non-linear evolution equation.