Solitons in a system of coupled Korteweg-de Vries equations

DOI10.1016/0165-2125(89)90005-XzbMath0692.76012OpenAlexW1967704845MaRDI QIDQ583984

Yuri S. Kivshar, Boris A. Malomed

Publication date: 1989

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(89)90005-x

zbMATH Keywords

resonant interactioninternal gravity-wave modesshallow stratified liquidsystem of two Korteweg-de Vries equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Reaction effects in flows (76V05) Partial differential equations of mathematical physics and other areas of application (35Q99)

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A proposed model in which solitons exhibit electron and proton-like behavior ⋮ Elliptic equation's new solutions and their applications to two nonlinear partial differential equations ⋮ Modulation of pulse train using leapfrogging pulses developed in unbalanced coupled nonlinear transmission lines ⋮ Head-on collision of solitary waves in coupled Korteweg-de Vries systems modeling nonlinear transmission lines ⋮ Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions ⋮ 1-soliton solution of the coupled KdV equation and Gear-Grimshaw model ⋮ Leapfrogging solitary waves in coupled traveling-wave field-effect transistors

Cites Work

• Unnamed Item
• Many-particle effects in nearly integrable systems
• ``Leapfrogging solitons in a system of coupled KdV equations
• Weak and Strong Interactions between Internal Solitary Waves
• Perturbation-induced radiative losses in collision of NSE solitons
• Strong Interactions between Solitary Waves Belonging to Different Wave Modes

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