Nonlinear dynamics and exact travelling wave solutions in the non-Boussinesq wavepacket model

This work presents the Maple software to carry out the integration of nonlinear travelling wave equations in terms of exact solutions. For illustration, the non-Boussinesq wavepacket model is analytically investigated. Based on the method of dynamical system and bifurcation theories, the exact explicit travelling wave solutions of the non-Boussinesq wavepacket model are successfully obtained by the Maple software. The exact explicit travelling wave solutions contain solitary wave solutions expressed by the hyperbolic functions, kink wave solutions expressed by the hyperbolic functions and periodic wave solutions expressed by Jacobian elliptic functions. The Maple software is concise, direct and effective. The results show that the presented findings improve the related previous conclusions. It is shown that the Maple software is a powerful and good tool for solving nonlinear travelling wave equations.