The fourth-order nonlinear Schrödinger limit for quantum Zakharov system
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Publication:506396
DOI10.1007/s00033-016-0740-1zbMath1358.35169arXiv1605.02428OpenAlexW2371611745MaRDI QIDQ506396
Yung-Fu Fang, Jun-Ichi Segata, Chi-Kun Lin
Publication date: 31 January 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.02428
NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of plasmas (82D10)
Related Items (8)
Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation ⋮ A fourth-order compact finite difference scheme for the quantum Zakharov system that perfectly inherits both mass and energy conservation ⋮ Remark on the adiabatic limit of quantum Zakharov system ⋮ On the standing waves of quantum Zakharov system ⋮ The local discontinuous Galerkin method for the nonlinear quantum Zakharov system ⋮ Arbitrary high-order structure-preserving methods for the quantum Zakharov system ⋮ Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime ⋮ Local well-posedness for the quantum Zakharov system in three and higher dimensions
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