Split-step quintic B-spline collocation methods for nonlinear Schrödinger equations

Split-step quintic B-spline collocation methods for nonlinear Schrödinger equations

Split-step quintic B-spline collocation (SS5BC) methods are constructed for nonlinear Schrödinger equations in one, two and three dimensions in this paper. For high dimensions, new notations are introduced, which make the schemes more concise and achievable. The solvability, conservation and linear...

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Bibliographic Details
Main Author: Shanshan Wang
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
split-step
quintic b-spline collocation
nonlinear schrödinger equation
numerical experiment
convergence order
conservation law
soliton
bose-einstein condensate
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231009?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231009?viewType=HTML

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