Nonexistence of traveling waves for a nonlocal Gross--Pitaevskii equation

DOI10.1512/IUMJ.2012.61.4707zbMath1273.35259arXiv1105.2726OpenAlexW2048967117MaRDI QIDQ2851022

André De Laire

Publication date: 1 October 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2726

zbMATH Keywords

traveling wavesGross-Pitaevskii equationPohozaev identitiesnonlocal Schrödinger equationnonzero conditions at infinity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51) General mathematical topics and methods in quantum theory (81Q99) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (3)

Ground states for a nonlocal mixed order cubic-quartic Gross-Pitaevskii equation ⋮ The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy ⋮ Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity

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