New type of gap soliton in a coupled Korteweg–de Vries wave system

DOI10.1103/PhysRevLett.72.949zbMath0973.78503OpenAlexW2002792439WikidataQ74549902 ScholiaQ74549902MaRDI QIDQ4492251

R. H. J. Grimshaw, Boris A. Malomed

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrevlett.72.949

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (14)

Asymmetrical solitary waves in coupled nonlinear transmission lines ⋮ Nonlinear analysis of instability produced by linear mode coupling ⋮ Nonexistence of gap solitons in nonlinearly coupled systems ⋮ Gap-soliton hunt in a coupled Korteweg-de Vries system ⋮ Structural transformation of eigenvalues for a perturbed algebraic soliton potential. ⋮ Gap solitary wave coexisting with bistable steady waves ⋮ Gap-solitons in a three-layered stratified flow ⋮ From parametric gap solitons to chaos by means of second-harmonic generation in Bragg gratings ⋮ Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions ⋮ Steady gap solitons in a coupled Korteweg-de Vries system: A dynamical systems approach ⋮ Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications ⋮ Generalized solitary waves and fronts in coupled Korteweg-de Vries systems ⋮ Dissipative effects in a nonlinear wave system with an unstable linear spectrum ⋮ Forced Waves Near Resonance at a Phase‐Speed Minimum

Cites Work

• Capillary–gravity waves of solitary type and envelope solitons on deep water
• Weak and Strong Interactions between Internal Solitary Waves
• Envelope solitons with stationary crests

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