Embedded solitons: A new type of solitary wave

DOI10.1016/S0378-4754(01)00327-5zbMath0976.35059OpenAlexW2166499524MaRDI QIDQ5939193

D. J. Kaup, Jianke Yang, Alan R. Champneys, Boris A. Malomed

Publication date: 2 January 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00327-5

zbMATH Keywords

Bragg gratingsembedded solitonmulti-humped embedded solitonssecond-harmonic-generation models

Mathematics Subject Classification ID

Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items

Semi-stability of embedded solitons in the general fifth-order KdV equation, Embedded solitons of the generalized nonlinear Schrödinger equation with high dispersion, Diversity of solitons in a generalized nonlinear Schrödinger equation with self-steepening and higher-order dispersive and nonlinear terms, Fractional optical solitons, A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices, Moving embedded lattice solitons, HOMOCLINIC MANIFOLDS, CENTER MANIFOLDS AND EXACT SOLUTIONS OF FOUR-DIMENSIONAL TRAVELING WAVE SYSTEMS FOR TWO CLASSES OF NONLINEAR WAVE EQUATIONS, Soliton dynamics in the complex modified KdV equation with a periodic potential, Exact solitary wave and quasi-periodic wave solutions of the KdV-Sawada-Kotera-Ramani equation, Multi-pulse embedded solitons as bound states of quasi-solitons, Detection of symmetric homoclinic orbits to saddle-centres in reversible systems, Propagation of \(sech^2\)-type solitary waves in hierarchical KdV-type systems, Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation, When gap solitons become embedded solitons: A generic unfolding, Novel Lagrangian hierarchies, generalized variational ODE’s, and families of regular and embedded solitary waves

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