New description for the bright, dark periodic solutions to the complex
Hirota-dynamical model
Abstract
In this article, we employ the nonlinear complex Hirota-dynamical model
which is one of the famous and important standards to the nonlinear
Schrödinger equation in which the third derivative term represent the
self-interaction in the high-frequency subsystem. Specially, in plasma
this term is isomorphic to the so known self-focusing effect. The
bright, dark and periodic optical soliton solutions to this equation
will realized successfully for the first time in the framework of the
solitary wave ansatz method. Furthermore, in this connection at the same
time and parallel the extended simple equation method has been applied
successfully to achieve new impressive solitary wave solutions to this
model. A comparison between the obtained results and that satisfied in
previous work has been established.