Peakon solutions of the shallow water equation

DOI10.1016/S0893-9659(00)00118-XzbMath0980.35145arXivnlin/0001004MaRDI QIDQ5938885

C. Miller, Mark S. Alber

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0001004

zbMATH Keywords

shallow water equationquasiperiodic solutionsspectral curveJacobi inversion problemsingular limitssolitary peakons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes ⋮ Differential invariants of Camassa-Holm equation ⋮ Various Exact Soliton Solutions and Bifurcations of a Generalized Dullin–Gottwald–Holm Equation with a Power Law Nonlinearity ⋮ Algebro-geometric solutions of the Camassa-Holm hierarchy ⋮ A note on a class of solitary-like solutions of the Tzitzéica equation generated by a similarity reduction ⋮ Peakons, solitary patterns and periodic solutions for generalized Camassa-Holm equations ⋮ A view of the peakon world through the lens of approximation theory

Cites Work

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• The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
• On billiard solutions of nonlinear PDEs
• Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions
• An integrable Hamiltonian system
• Multi-peakons and a theorem of Stieltjes
• An integrable shallow water equation with peaked solitons
• On the link between umbilic geodesics and soliton solutions of nonlinear PDEs
• A completely integrable Hamiltonian system

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