Results 11 to 20 of about 34,063 (197)
Nuclear Physics B, 2023 The nonlinear Schrödinger (NLS) types of equations play a key role in quantum mechanics, Quantum communication and physical applications. However, how to deal with explicit solutions and other properties of the NLS equations, especially for the variable ...
Hanze Liu
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Mathematics, 2021 In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given.
Yu-Shan Bai, Peng-Xiang Su, Wen-Xiu Ma
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Mathematics, 2023 This article explores adapted mathematical methods to solve the coupled nonlinear Schrödinger (C-NLS) equation through analytical and numerical methods.
Taghread Ghannam Alharbi +1 more
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Decay estimates for nonlinear Schrödinger equations [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2020 In this short note, we present some decay estimates for nonlinear solutions of 3d quintic and 3d cubic NLS (nonlinear Schrodinger equations).
Chenjie Fan, Zehua Zhao
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Spectral Curves for the Derivative Nonlinear Schrödinger Equations
Symmetry, 2021 Currently, in nonlinear optics, models associated with various types of the nonlinear Schrödinger equation (scalar (NLS), vector (VNLS), derivative (DNLS)), as well as with higher and mixed equations from the corresponding hierarchies are usually studied.
A. O. Smirnov
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Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction [PDF]
Zeitschrift für Angewandte Mathematik und Physik, 2020 We establish blow-up results for systems of NLS equations with quadratic interaction in anisotropic spaces. We precisely show finite time blow-up or grow-up for cylindrical symmetric solutions.
Van Duong Dinh, L. Forcella
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Pöppe triple systems and integrable equations
Partial Differential Equations in Applied Mathematics, 2023 We construct the combinatorial Pöppe triple system, or ternary algebra, that underlies the non-commutative nonlinear Schrödinger (NLS) and modified Korteweg–de Vries (mKdV) hierarchy.
Anastasia Doikou +3 more
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Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients [PDF]
, 2020 open access articleMotivated by the limited work performed on the development of computational techniques for solving the nonlinear Schrödinger equation with time-dependent coefficients, we develop a modified Runge-Kutta pair with improved periodicity ...
Anastassi, Zacharias +3 more
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Frontiers in Physics, 2023 The nonlinear Schrödinger (NLS) equation is an ideal model for describing optical soliton transmission. This paper first introduces an integer-order generalized coupled NLS equation describing optical solitons in birefringence fibers.
Lei Fu +4 more
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Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities [PDF]
Nonlinearity, 2022 In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities.
Jack Borthwick +3 more
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