Eigenvalues of zero energy in the linearized NLS problem

DOI10.1063/1.2203233zbMath1112.35140OpenAlexW2033851598MaRDI QIDQ3441901

Vitali Vougalter, Dmitry E. Pelinovsky

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7037cdfc25ada16ed49f54a36c15f581b38df112

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) General theory of partial differential operators (47F05) Abstract bifurcation theory involving nonlinear operators (47J15)

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Cites Work

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• Spectra of positive and negative energies in the linearized NLS problem
• Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
• Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems