Block-Diagonalization of the Symmetric First-Order Coupled-Mode System

DOI10.1137/050629781zbMath1102.35062arXivmath/0504442OpenAlexW1554500649MaRDI QIDQ5470868

Dmitry E. Pelinovsky, Marina Chugunova

Publication date: 1 June 2006

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504442

zbMATH Keywords

eigenvaluesinvariant subspacesnonlinear opticsspectral stabilityphotonicsgap solitonsHamiltonian first-order coupled-mode systems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) First-order nonlinear hyperbolic equations (35L60) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)

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