Results 51 to 60 of about 134 (115)
The nonlinear Schrödinger equation in fiber-optic systems
, 2008 AMS classification: Primary 35Q55; Secondary 94A05 ...
SECONDINI, Marco, FORESTIERI, Enrico
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Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed
Advances in Nonlinear AnalysisIn this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
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Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case
Advances in Nonlinear Analysis, 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.
Goubet Olivier, Hamraoui Emna
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LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE $d$-DIMENSIONAL TORUS
Forum of Mathematics, Sigma, 2020 We consider the nonlinear wave equation (NLW) on the $d$-dimensional torus $\mathbb{T}^{d}$ with a smooth nonlinearity of order at least 2 at the origin. We prove that, for almost any mass, small and smooth solutions of high Sobolev indices are stable up
JOACKIM BERNIER +2 more
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Alexandria Engineering Journal, 2020 The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
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Existence of a Positive Solution to a Nonlinear Scalar Field Equation with Zero Mass at Infinity
Advanced Nonlinear Studies, 2018 We establish the existence of a positive solution to the ...
Clapp Mónica, Maia Liliane A.
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High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness
Advances in Nonlinear AnalysisThis article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
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© Hindawi Publishing Corp. A NOTE ON ASYMPTOTIC HELIX AND QUANTUM MECHANICAL STRUCTURE
, 2003 Using the formulation of a moving curve, we demonstrate that an asymptotic helix goes over to the linear time-dependent Schrödinger equation as shown by Dmitriyev (2002).
Partha Guha
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
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, 2010 . We derive some sufficient conditions for the existence of dispersion-managed solitons in a nonlinear Schrödinger equation with periodically varying coefficients.
Robert Hakl, Pedro J Torres
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