Computing the Maslov index of solitary waves. II: Phase space with dimension greater than four

DOI10.1016/j.physd.2011.05.014zbMath1228.35197OpenAlexW2140675504MaRDI QIDQ720696

Thomas J. Bridges, Frédéric Dias, Frédéric Chardard

Publication date: 11 October 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2011.05.014

zbMATH Keywords

stabilitysolitary wavesEvans functionHamiltonian systemsMaslov indexlong-wave-short-wave resonance

Mathematics Subject Classification ID

Related Items (18)

The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1\)] ⋮ Validated Spectral Stability via Conjugate Points ⋮ The Maslov and Morse indices for Schrödinger operators on \([0,1\)] ⋮ Generalized Maslov Indices for Non-Hamiltonian Systems ⋮ Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry ⋮ Hadamard-type formulas via the Maslov form ⋮ Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation ⋮ Computing the Maslov index from singularities of a matrix Riccati equation ⋮ The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\) ⋮ Opening the Maslov box for traveling waves in skew-gradient systems: counting eigenvales and proving (in)stability ⋮ The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ Computing the Maslov index for large systems ⋮ Collision index and stability of elliptic relative equilibria in planar \(n\)-body problem ⋮ New hydroelastic solitary waves in deep water and their dynamics ⋮ The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials ⋮ Existence and stability of traveling waves of the fifth-order KdV equation ⋮ Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation

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