Results 101 to 110 of about 32,605 (214)
Multipulses of Nonlinearly Coupled Schrödinger Equations [PDF]
, 2001 The capacity of coupled nonlinear Schrödinger (NLS) equations to support multipulse solutions (multibump solitary-waves) is investigated. A detailed analysis is undertaken for a system of quadratically coupled equations that describe the phenomena of ...
Yew, Alice C.
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Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case
, 2017 In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.
O. Goubet, Emna Hamraoui
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Symmetry, 2016 In this work, after reviewing two different ways to solve Riccati systems, we are able to present an extensive list of families of integrable nonlinear Schrodinger (NLS) equations with variable coefficients.
Gabriel Amador +5 more
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Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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Results in Physics, 2019 We consider coupled nonlinear Schrodinger equation (CNLSE) of the Gross-Pitaevskii-type, with linear mixing and nonlinear cross-phase modulation. Motivated by the study of matter waves in Bose-Einstein condensates and multicomponent (vectorial) nonlinear
Hamdy I. Abdel-Gawad +3 more
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On Standing Waves of 1D Nonlinear Schrödinger Equation With Triple Power Nonlinearity
Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.ABSTRACT For the one‐dimensional nonlinear Schrödinger equation with triple power nonlinearity and general exponents, we study analytically and numerically the existence and stability of standing waves. Special attention is paid to the curves of nonexistence and curves of stability change on the parameter planes.
Theo Morrison, Tai‐Peng Tsai
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Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations [PDF]
, 2007 Variable coefficient and Wick-type stochastic nonlinear Schrödinger (NLS) equations are investigated. By using white noise analysis, Hermite transform and extended F-expansion method, we obtain a number of Wick versions of periodic-like wave solutions ...
Xie, Yingchao, Chen, Bin
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Journal of nonlinear science, 2021 Guoqiang Zhang, Liming Ling, Zhenya Yan
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Results in PhysicsThe time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time evolution of disturbances within media, tailored for describing phenomena in unstable media to help model and understand the intricate dynamics of systems prone to ...
M. Ayesha Khatun +3 more
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On The Schrödinger Equation With Singular Potentials [PDF]
, 2015 We study the Cauchy problem for the non-linear Schrödinger equation with singular potentials. For the point-mass potential and nonperiodic case, we prove existence and asymptotic stability of global solutions in weak-L p spaces.
Pava J.A., Ferreira L.C.F.
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