Extended Hyperbolic Function Method to Solve Two New Nonlinear Partial Differential Equations

In this paper, we present two new equations, firstly a combined of Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation with modified Korteweg-de Vries-Benjamin-Bona-Mahony m(KdV-BBM) and denoted by c((KdV-BBM)-m(KdV-BBM)), secondly a combined of Shallow Water Wave-Ablowitz-Kaup-Newell-Segur (SWW-AKNS) equation with Equal-Width (EW) equation and denoted by c((SWW-AKNS)-EW). Then we apply the extended hyperbolic function method (EHFM) to solve the new equations. Exact traveling wave solutions are obtained and expresses in terms of hyperbolic functions and trigonometric functions.