New exact travelling solutions of the generalized Hirota equation

Abstract

In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method. The given methods are very effective to solve some nonlinear Schrödinger equations. Furthermore, some solutions are degraded to trigonometric solutions and solitary solutions in extreme cases.

Keywords

• Generalized Hirota equation
• New Jacobi elliptic function rational expansion method
• Exponential rational function method