Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger–Boussinesq system-Reference-Cited by-同舟云学术

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Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger–Boussinesq system

Published:2019-05 Issue: Volume:91 Page:76-82
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Cai Jiaxiang,Yang Bin,Zhang Chun

Funder

Natural Science Foundation of Jiangsu Province of China

Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference25 articles.

1. Time-splitting pseudo-spectral domain method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations;Taleei;Comput. Phys. Comm.,2014

2. Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices;Dehghan;Math. Comput. Simulation,2006

3. The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods;Dehghan;Comput. Phys. Comm.,2013

4. A mesh less based numerical technique for traveling solitary wave solution of Boussinesq equation;Dehghan;Appl. Math. Model.,2012

5. On stationary solutions of the Schrödinger equation with a self-consistent potential satisfying Boussinesq’s equation;Makhankov;Phys. Lett. A,1974

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1. Numerical solutions of Schrödinger–Boussinesq system by orthogonal spline collocation method;Journal of Computational and Applied Mathematics;2024-10

2. Simulation of the coupled Schrödinger–Boussinesq equations through integrated radial basis functions-partition of unity method;Engineering Analysis with Boundary Elements;2023-08

3. Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations;Mathematical Methods in the Applied Sciences;2023-06-24

4. Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein–Gordon–Dirac system;Communications in Nonlinear Science and Numerical Simulation;2023-04

5. Structure-preserving BDF2 FE method for the coupled Schrödinger-Boussinesq equations;Numerical Algorithms;2023-01-06

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