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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Publication:2008412
DOI10.1016/j.amc.2018.10.016zbMath1429.65229OpenAlexW2898815810MaRDI QIDQ2008412
Publication date: 25 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.016
direct meshless local Petrov-Galerkin (DMLPG) methodcollision dynamics of solitonscoupled damped nonlinear Schrödinger modelpropagation of multiple solitons
NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Soliton solutions (35C08) PDEs in connection with statistical mechanics (35Q82)
Related Items (12)
Numerical solution of an inverse source problem for a time-fractional PDE via direct meshless local Petrov-Galerkin method ⋮ Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates ⋮ Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation ⋮ High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit ⋮ DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs ⋮ An efficient interpolating wavelet collocation scheme for quasi‐exactly solvable Sturm–Liouville problems in ℝ+ ⋮ Multi-symplectic simulation on soliton-collision for nonlinear perturbed Schrödinger equation ⋮ A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems ⋮ Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain ⋮ An efficient approach for solving nonlinear multidimensional Schrödinger equations ⋮ A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates ⋮ Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains
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