The KdV curve and Schrödinger-Airy curve

DOI10.1090/S0002-9939-2011-10930-4zbMath1248.37067MaRDI QIDQ3116554

Chong Song

Publication date: 24 February 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schrödinger-Airy flowgeometric KdV-Airy flow

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Global differential geometry (53C99)

Related Items (5)

Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation ⋮ New geometric flows on Riemannian manifolds and applications to Schrödinger-Airy flows ⋮ Geometric solitons of Hamiltonian flows on manifolds ⋮ Uniqueness Of 1D generalized bi-Schrödinger flow ⋮ Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application

Cites Work

• Saddle points and multiple solutions of differential equations
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Schrödinger flow of maps into symplectic manifolds
• Infinite dimensional Morse theory and multiple solution problems
• KdV GEOMETRIC FLOWS ON KÄHLER MANIFOLDS

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