Optical solitons with an extended <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.svg" display="inline" id="d1e2440"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo linebreak="goodbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity
Mohammad Mirzazadeh, Ahmad Sharif, Mir Sajjad Hashemi, Ali Akgül, Sayed M. El Din
Abstract
In this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended hyperbolic method, and Nucci’s reduction method. We show that these methods are effective in finding solitary wave solutions, periodic wave solutions, and rational solutions of the equation. Besides, a first integral of the considered equation is derived by the Nucci reduction technique. Our results demonstrate the applicability of these methods in finding exact solutions to nonlinear PDEs, especially in cases where other methods are not effective.