Second order averaging for the nonlinear Schrödinger equation with strongly anisotropic potential

DOI10.3934/krm.2011.4.831zbMath1245.35100OpenAlexW2314754449MaRDI QIDQ429021

Naoufel Ben Abdallah, Francois Castella, Florian Méhats, Yong-Yong Cai

Publication date: 25 June 2012

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2011.4.831

zbMATH Keywords

dimension reductionGross-Pitaevskii equationLaguerre-Hermite pseudo-spectral methodsecond order averaging

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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