Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. [PDF]
Sci Rep, 2023 Fan C, Li L, Yu F.
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Quantization of the Derivative Nonlinear Schrodinger Equation
, 1996 We study the quantum mechanics of the derivative nonlinear Schrodinger equation which has appeared in many areas of physics and is known to be classically integrable. We find that the N-body quantum problem is exactly solvable with both bound states (with an upper bound on the particle number) and scattering states. Quantization provides an alternative
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Nonlinear Schrödinger Equation
High-Power Laser-Plasma Interaction, 2020 semanticscholar +1 more source
The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]
Proc Lond Math Soc, 2023 Lee JM, Lenells J.
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Soliton Gas for the Nonlinear Schrodinger equation
, 2023 In this thesis, we define and study the properties of solutions of a gas of solitons for the Focusing Nonlinear Schr\"odinger equation. A gas of solitons is an initial data with an infinite number of solitons that is defined via a suitable limit.
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A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation. [PDF]
Entropy (Basel), 2022 He S, Liu Y, Li H.
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Cubic nonlinear Schrodinger equation on three dimensional balls with radial data [PDF]
, 2006 Ramona Anton
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Multi-bump standing waves for nonlinear Schrodinger equations with a general nonlinearity: the topological effect of potential wells [PDF]
, 2020 Sangdon Jin
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Neural networks for computing and denoising the continuous nonlinear Fourier spectrum in focusing nonlinear Schrödinger equation. [PDF]
Sci Rep, 2021 Sedov EV +7 more
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