Work

A local differential quadrature method for the generalized nonlinear Schrödinger (GNLS) equation

Year: 2024

Type: article

Abstract: A local differential quadrature method based on Fourier series expansion numerically solves the generalized nonlinear Schrodinger equation. For time integration, a Runge-Kutta fourth-order method is used. Matrix stability analysis is used to examine the method's stability. Three test problems involving the motion of a single solitary wave, the interaction of two solitary waves, and a solution that blows up in finite time, respectively, demonstrate the accuracy and efficiency of the provided method. Finally, the numerical results obtained from the presented method are compared with the exact solution and those obtained in earlier works available in the literature.

Source: An International Journal of Optimization and Control Theories & Applications (IJOCTA)

DOI: 10.11121/ijocta.1546

Authors: Meirikim Panmei, Roshan Thoudam

Institution: Manipur University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403472969

FWCI:

Cites: 31

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Related to: 10