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International Journal of Computer Mathematics Volume 95, 2018 - Issue 8
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Original Articles

Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations

Jialing WangJiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, ChinaView further author information
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Yushun WangJiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, ChinaCorrespondence[email protected]
View further author information
Pages 1583-1608 | Received 22 Nov 2016, Accepted 10 Apr 2017, Published online: 27 May 2017

Citations (10)

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Azhar Iqbal, Muhammad Abbas, Tayyaba Akram, Abdullah M. Alsharif & Ajmal Ali. (2022) A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions. International Journal of Computer Mathematics 99:11, pages 2205-2220.
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Liangliang Zhai & Junjie Wang. (2022) High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations. International Journal of Computer Mathematics 99:3, pages 607-628.
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Articles from other publishers (8)

Sheng-en Liu, Yongbin Ge & Shuaikang Wang. (2024) Conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger equations. Communications in Nonlinear Science and Numerical Simulation 131, pages 107797.
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Fengli Yin & Yayun Fu. (2024) Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation. Applied Numerical Mathematics 195, pages 1-16.
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F. Abdolabadi, A. Zakeri & A. Amiraslani. (2022) A charge-preserving compact splitting method for solving the coupled stochastic nonlinear Schrödinger equations. Applied Numerical Mathematics 181, pages 293-319.
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Huijing Zhan & Mingze Wu. (2021) Numerical Calculations of the GRP Scheme for Nonconservative Ideal Fluid Mechanics Equations Relying on Parallel Calculation of Multifluid Grids. Advances in Multimedia 2021, pages 1-8.
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Azhar Iqbal, Nur Nadiah Abd Hamid, Ahmad Izani Md. Ismail & Muhammad Abbas. (2021) Galerkin approximation with quintic B-spline as basis and weight functions for solving second order coupled nonlinear Schrödinger equations. Mathematics and Computers in Simulation 187, pages 1-16.
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Junjie Wang. (2021) High-order conservative schemes for the space fractional nonlinear Schrödinger equation. Applied Numerical Mathematics 165, pages 248-269.
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Yuyu He, Xiaofeng Wang, Weizhong Dai & Yaqing Deng. (2021) A new high‐order accurate conservative finite difference scheme for the coupled nonlinear Schrödinger equations. Mathematical Methods in the Applied Sciences.
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Ram Jiwari, Sanjay Kumar, R. C. Mittal & Jan Awrejcewicz. (2020) A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation. Computational and Applied Mathematics 39:2.
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