New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using Extended F-Expansion Method

الملخص EN

The F-expansion method is used to find traveling wave solutions to various wave equations.

By giving more solutions of the general subequation, an extended F-expansion method is introduced by Emmanuel.

In our work, a generalized KdV type equation of neglecting the highest-order infinitesimal term, which is an important water wave model, is discussed by using the extended F-expansion method.

And when the parameters satisfy certain relations, some new exact solutions expressed by Jacobi elliptic function, hyperbolic function, and trigonometric function are obtained.

The related results are enriched.