The Two-Dimensional Case

DOI10.1007/978-3-540-89199-4_3zbMath1188.37062OpenAlexW58829529MaRDI QIDQ3654728

Panayotis G. Kevrekidis

Publication date: 11 January 2010

Published in: Springer Tracts in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-89199-4_3

zbMATH Keywords

two dimensionsSchrödinger equationsolitondiscrete

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Unnamed Item
• Stability theory of solitary waves in the presence of symmetry. II
• Singularities and groups in bifurcation theory. Volume I
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Spectrally stable encapsulated vortices for nonlinear Schrödinger equations
• Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
• Linear stability of perturbed Hamiltonian systems: theory and a case example
• Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
• Linearized instability for nonlinear schrödinger and klein-gordon equations
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Excitation thresholds for nonlinear localized modes on lattices
• Existence and stability of 3-site breathers in a triangular lattice
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

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