Rogue waves and solitons of the generalized modified nonlinear Schrodinger equations

Many applications of the classical nonlinear Schrodinger equations with cubic and power nonlinearity are seen in nonlinear optics, plasma physics, superconductivity, propagation of the electric field in optical fibers, self-focusing and collapse of Langmuir waves in plasma physics, to model deep water waves and freak waves in the ocean.Objectives: In this paper, the generalized form of the modified nonlinear Schrodinger equation is proposed with various nonlinearities.Methods: Bernoulli equation method, which is one of the ansatz-based methods, is considered to be obtained as the novel soliton solutions of the modified nonlinear Schrodinger equation with various nonlinearities.Results: With the view of the results, new improvements can happen for applications of the model.(c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

The classical nonlinear Schrodinger equations with cubic and power nonlinearity have many applications in various fields such as nonlinear optics, plasma physics, superconductivity, and ocean waves. This paper proposes a generalized form of the modified nonlinear Schrodinger equation with various nonlinearities and obtains novel soliton solutions using the Bernoulli equation method. The results suggest potential improvements for the application of this model.