DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose–Einstein condensates
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DOI: 10.1016/j.amc.2018.10.016
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References listed on IDEAS
- Ismail, M.S. & Taha, Thiab R., 2001. "Numerical simulation of coupled nonlinear Schrödinger equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(6), pages 547-562.
- Uthayakumar, A. & Han, Young-Geun & Lee, Sang Bae, 2006. "Soliton solutions of coupled inhomogeneous nonlinear Schrödinger equation in plasma," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 916-919.
- Ismail, M.S. & Taha, Thiab R., 2007. "A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(4), pages 302-311.
- Wang, Tingchun & Jiang, Jiaping & Wang, Hanquan & Xu, Weiwei, 2018. "An efficient and conservative compact finite difference scheme for the coupled Gross–Pitaevskii equations describing spin-1 Bose–Einstein condensate," Applied Mathematics and Computation, Elsevier, vol. 323(C), pages 164-181.
- Ismail, M.S., 2008. "Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 532-547.
- Zhou, Shenggao & Cheng, Xiaoliang, 2010. "Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(12), pages 2362-2373.
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Keywords
Coupled damped nonlinear Schrödinger model; Direct meshless local Petrov–Galerkin (DMLPG) method; Propagation of multiple solitons; Collision dynamics of solitons;All these keywords.
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