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An integrable shallow water equation with peaked solitons

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Publication:4492121
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DOI10.1103/PhysRevLett.71.1661zbMath0972.35521arXivpatt-sol/9305002OpenAlexW2026031976WikidataQ27450386 ScholiaQ27450386MaRDI QIDQ4492121

Darryl D. Holm, Roberto Camassa

Publication date: 16 July 2000

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

Full work available at URL: https://arxiv.org/abs/patt-sol/9305002

zbMATH Keywords

conservation lawsasymptotic expansionsoliton solutionbi-Hamiltonian


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)


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Cites Work

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  • Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion
  • Stability of forced steady solitary waves
  • A derivation of equations for wave propagation in water of variable depth
  • A numerical and theoretical study of certain nonlinear wave phenomena
  • Model equations for long waves in nonlinear dispersive systems
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