ASYMPTOTIC AXISYMMETRY OF THE SUBSONIC TRAVELING WAVES TO THE GROSS–PITAEVSKII EQUATION

DOI10.1142/S0219199711004567zbMath1230.35132MaRDI QIDQ3110887

Wei Yao, Wei, Juncheng

Publication date: 16 January 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetrynonlinear Schrödinger equationtraveling waveHamiltonian identity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General aerodynamics and subsonic flows (76G25) NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Asymptotics of the solitary waves for the generalized Kadomtsev-Petviashvili equations
• From Ginzburg-Landau to Gross-Pitaevskii
• A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
• Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
• Decay for travelling waves in the Gross-Pitaevskii equation
• Hamiltonian identities for elliptic partial differential equations
• Travelling waves for the Gross-Pitaevskii equation. II
• Traveling wave solutions of the Schrödinger map equation
• Axial symmetry of some steady state solutions to nonlinear Schrödinger equations

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