Soliton solutions in the nonlinear conformable Wu-Zhang system

In this paper, new analytical solutions of nonlinear fractional Wu-Zhang system are determined with the aid of two analytical approaches, that is, generalized projective Riccati equation method and Sardar sub-equation method via conformable derivative. The system describes (۱ + ۱)-dimensional dispersive long wave in two horizontal directions on shallow waters. Some new solitary wave solutions are demonstrated by the means of computer softwares maple or mathematica. The obtained results reveals that the proposed method is very efficacious and straightforward in the determination of the solution for the nonlinear fractional Wu-Zhang system.

کلیدواژه ها:

Fractional Wu-Zhang system ، Conformable fractional derivative ، Generalized projective Riccati equation method ، Sardar sub-equation method