Geodesic flow and two (super) component analog of the Camassa-Holm equation

DOI10.3842/SIGMA.2006.054zbMath1095.53058arXivnlin/0605041MaRDI QIDQ2495210

Partha Guha, Peter J. Olver

Publication date: 4 July 2006

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0605041

zbMATH Keywords

diffeomorphismSobolev normgeodesic flowVirasoro orbit

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (13)

Non-classical traveling solutions in a nonlinear Klein Gordon model ⋮ Exact traveling wave solutions and bifurcations of the dual Ito equation ⋮ A new class of Euler equation on the dual of the N = 1 extended Neveu-Schwarz algebra ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Liouville correspondences between multicomponent integrable hierarchies ⋮ The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations ⋮ Bifurcation of traveling wave solutions of the dual Ito equation ⋮ Super Camassa–Holm-type systems associated to the Kuper–Ramond–Schwarz superalgebra ⋮ The Frobenius-Virasoro algebra and Euler equations ⋮ A Super Camassa–Holm Equation with N‐Peakon Solutions ⋮ Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions ⋮ Supersymmetric Euler equations associated to the N ≤ 3 Neveu-Schwarz algebra ⋮ A new integrable two-component system with cubic nonlinearity

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