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

Autor:	Meirikim Panmei, Roshan Thoudam
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Differential quadrature method Fourier series expansion Solitary waves Generalized nonlinear Schrödinger equation Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	An International Journal of Optimization and Control: Theories & Applications, Vol 14, Iss 4 (2024)
Druh dokumentu:	article
ISSN:	2146-0957 2146-5703
DOI:	10.11121/ijocta.1546
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6175766d5fde47bab9d94bcbe8ad372f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF