Embedded solitons in Lagrangian and semi-Lagrangian systems

DOI10.1016/S0167-2789(03)00219-7zbMath1037.35065arXivmath-ph/0204055OpenAlexW2159721717MaRDI QIDQ1407926

D. J. Kaup, Boris A. Malomed

Publication date: 21 September 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/0204055

zbMATH Keywords

Kerr nonlinearityvariational approximationradiation mode spectrumsecond harmonic generation model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (10)

Embedded solitons in second-harmonic-generating lattices ⋮ Gap solitons in a model of a superfluid fermion gas in optical lattices ⋮ Beyond the KdV: Post-explosion development ⋮ On the validity of the variational approximation in discrete nonlinear Schrödinger equations ⋮ Generalized Ablowitz-Ladik equation with a dual Lagrangian structure ⋮ Domain walls of single-component Bose--Einstein condensates in external potentials ⋮ Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings ⋮ Surface solitons in trilete lattices ⋮ Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches ⋮ A variational approach to the stability of an embedded NLS soliton at the edge of the continuum

Cites Work

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• A global investigation of solitary-wave solutions to a two-parameter model for water waves
• Dynamics of Embedded Solitons in the Extended Korteweg–de Vries Equations
• Embedded solitons: Solitary waves in resonance with the linear spectrum

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