Rogue waves and solitons of the generalized modified nonlinear Schrödinger equations

ZP Izgi - Mathematics and Computers in Simulation, 2023 - Elsevier
Mathematics and Computers in Simulation, 2023Elsevier
Many applications of the classical nonlinear Schrödinger 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 Schrödinger equation is proposed with
various nonlinearities. Methods: Bernoulli equation method, which is one of the ansatz …
Abstract
Many applications of the classical nonlinear Schrödinger 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 Schrödinger 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 Schrödinger equation with various nonlinearities.
Results
With the view of the results, new improvements can happen for applications of the model.
Elsevier
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