A Nonlinear Schrödinger Equation Resonating at an Essential Spectrum
Advances in Mathematical Physics, 2016 We consider the nonlinear Schrödinger equation -Δu+f(u)=V(x)u in RN. The potential function V satisfies that the essential spectrum of the Schrödinger operator -Δ-V is [0,+∞) and this Schrödinger operator has infinitely many negative eigenvalues ...
Shaowei Chen, Haijun Zhou
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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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Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity. [PDF]
Opt Quantum Electron, 2022 Rizvi STR +4 more
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Journal of Applied Surfaces and Interfaces, 2018 We consider the nonlinear excitation localized near the media interface with an internal structure. We consider the anharmonicity of the medium characterized by a different nonlinearity on different sides of the interface. The excitations are described
Sergey E. Savotchenko
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Nonlinear Schrödinger type tetrahedron maps
Nuclear Physics B, 2020 This paper is concerned with the construction of new solutions in terms of birational maps to the functional tetrahedron equation and parametric tetrahedron equation.
S. Konstantinou-Rizos
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Formation of stationary localized states due to nonlinear impurities using the discrete nonlinear Schrödinger equation [PDF]
, 1997 Bikash C. Gupta, K. Kundu
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Bilinearization of Coupled Nonlinear Schrödinger Type Equations: Integrabilty and Solitons [PDF]
, 1998 Kuppusamy Porsezian
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Laser-plasma filamentation and the spatially periodic nonlinear Schrödinger equation approximation [PDF]
, 1997 T. W. Johnston +2 more
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Maxwell's equations and the vector nonlinear Schrödinger equation [PDF]
, 1997 Yijiang Chen, Javid Atai
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The evolution of long-wave solutions to the nonlinear Schrödinger equation
, 1984 M. S. Cramer, Layne T. Watson
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