High-order schemes for the fractional coupled nonlinear Schrödinger equation-Reference-Cited by-同舟云学术

High-order schemes for the fractional coupled nonlinear Schrödinger equation

Published:2023 Issue:4 Volume:18 Page:1434-1453
ISSN:1556-1801
Container-title:Networks and Heterogeneous Media
language:
Short-container-title:NHM

Author:

Yin Fengli¹,Xu Dongliang²,Yang Wenjie³

Affiliation:

1. Zhoukou Normal University, Zhoukou 466000, China

2. Nanjing University of Finance and Economics Hongshan College, Nanjing 210023, China

3. School of Science, Xuchang University, Xuchang 461000, China

Abstract

<abstract><p>This paper considers the fractional coupled nonlinear Schrödinger equation with high degree polynomials in the energy functional that cannot be handled by using the quadratic auxiliary variable method. To this end, we develop the multiple quadratic auxiliary variable approach and then construct a family of structure-preserving schemes with the help of the symplectic Runge-Kutta method for solving the equation. The given schemes have high accuracy in time and can both inherit the mass and Hamiltonian energy of the system. Ample numerical results are given to confirm the accuracy and conservation of the developed schemes at last.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computer Science Applications,General Engineering,Statistics and Probability

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