Results 21 to 30 of about 794 (57)
Journal of Ocean Engineering and Science, 2018 The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
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Blending Brownian motion and heat equation
, 2015 In this short communication we present an original way to couple the Brownian motion and the heat equation. More in general, we suggest a way for coupling the Langevin equation for a particle, which describes a single realization of its trajectory, with ...
Cristiani, Emiliano
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Multi-solitons for nonlinear Klein–Gordon equations
Forum of Mathematics, Sigma, 2014 In this paper, we consider the existence of multi-soliton structures for the nonlinear Klein–Gordon (NLKG) equation in $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\
RAPHAËL CÔTE, CLAUDIO MUÑOZ
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Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators
Forum of Mathematics, SigmaWe revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the time-
Christian Brennecke, Wilhelm Kroschinsky
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On a logarithmic Hartree equation
Advances in Nonlinear Analysis, 2019 We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree
Bernini Federico, Mugnai Dimitri
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Spectral Shift Function for the Perturbations of Schrödinger Operators at High Energy [PDF]
, 2008 2000 Mathematics Subject Classification: 35P20, 35J10, 35Q40.We give a complete pointwise asymptotic expansion for the Spectral Shift Function for Schrödinger operators that are perturbations of the Laplacian on Rn with slowly decaying ...
Assel, Rachid, Dimassi, Mouez
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Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials [PDF]
, 2006 We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models.
Enciso, A. +3 more
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Stability of spectral eigenspaces in nonlinear Schrodinger equations
, 2006 We consider the time-dependent non linear Schrodinger equations with a double well potential in dimensions d =1 and d=2. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear ...
Bambusi, Dario, Sacchetti, Andrea
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Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system
Advances in Nonlinear AnalysisThis article is concerned with the following Hamiltonian elliptic system: −ε2Δu+εb→⋅∇u+u+V(x)v=Hv(u,v)inRN,−ε2Δv−εb→⋅∇v+v+V(x)u=Hu(u,v)inRN,\left\{\begin{array}{l}-{\varepsilon }^{2}\Delta u+\varepsilon \overrightarrow{b}\cdot \nabla u+u+V\left(x)v={H}_ ...
Zhang Jian, Zhou Huitao, Mi Heilong
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Global Analytic Solutions for the Nonlinear Schr\"odinger Equation
, 2019 We prove the existence of global analytic solutions to the nonlinear Schr\"odinger equation in one dimension for a certain type of analytic initial data in $L^2$.Comment: Corrected errors in proofs in section
Biyar, Magzhan +1 more
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