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2019•Modern Physics Letters BRequires access

An analytical method for soliton solutions of perturbed Schrödinger’s equation with quadratic-cubic nonlinearity

Behzad Ghanbari, Nauman Raza

Open publisher page 64 citations

Abstract

In this study, we acquire some new exact traveling wave solutions to the nonlinear Schrödinger’s equation in the presence of Hamiltonian perturbations. The compendious integration tool, generalized exponential rational function method (GERFM), is utilized in the presence of quadratic-cubic nonlinear media. The obtained results depict the efficiency of the proposed scheme and are being reported for the first time.

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What this paper is about

In this study, we acquire some new exact traveling wave solutions to the nonlinear Schrödinger’s equation in the presence of Hamiltonian perturbations. The compendious integration tool, generalized exponential rational function method (GERFM), is utilized in the presence of quadratic-cubic nonlinear media. The obtained results depict the efficiency of the proposed scheme and are being reported for the first time.

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OpenAlex reports 64 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this study, we acquire some new exact traveling wave solutions to the nonlinear Schrödinger’s equation in the presence of Hamiltonian perturbations. The compendious integration tool, generalized exponential rational function method (GERFM), is utilized in the presence of quadratic-cubic nonlinear media. The obtained results depict the efficiency of the proposed scheme and are being reported for the first time.

Key concepts: Quadratic equation, Nonlinear Schrödinger equation, Exponential function, Nonlinear system, Hamiltonian (control theory), Cubic function, Soliton, Physics

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