Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
From MaRDI portal
Publication:5301950
DOI10.1098/rsta.2007.2012zbMath1152.37344arXivmath-ph/0610001OpenAlexW3099409213WikidataQ51919915 ScholiaQ51919915MaRDI QIDQ5301950
Publication date: 20 January 2009
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0610001
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (37)
Local well-posedness and blow-up for a family of \(U(1)\)-invariant peakon equations ⋮ The shallow-water models with cubic nonlinearity ⋮ On the Cauchy problem for the periodic \(b\)-family of equations and of the non-uniform continuity of Degasperis-Procesi equation ⋮ A new class of Euler equation on the dual of the N = 1 extended Neveu-Schwarz algebra ⋮ Geometric Differences between the Burgers and the Camassa-Holm Equations ⋮ Formation of singularity of solution to a nonlinear shallow water equation ⋮ Global weak solutions for a two-component Camassa-Holm shallow water system ⋮ Existence and uniqueness of the global conservative weak solutions for a cubic Camassa-Holm type equation ⋮ A new blow-up criterion for the DGH equation ⋮ Initial boundary value problem and asymptotic stabilization of the two-component Camassa-Holm equation ⋮ On the Cauchy problem of a periodic 2-component \(\mu\)-Hunter-Saxton system ⋮ Surjectivity of certain adjoint operators and applications ⋮ Hölder continuity on \({\mu}\)-\(b\) equation ⋮ Blowup issues for a class of nonlinear dispersive wave equations ⋮ Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space ⋮ The Frobenius-Virasoro algebra and Euler equations ⋮ On smooth traveling waves of an integrable two-component Camassa-Holm shallow water system ⋮ On the existence of global weak solutions to an integrable two-component Camassa–Holm shallow-water system ⋮ A three‐level linearized finite difference scheme for the camassa–holm equation ⋮ Local well-posedness of the Camassa-Holm equation on the real line ⋮ On the global boundary stabilization of the Camassa-Holm equation ⋮ Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system ⋮ Global and singular solutions to the generalized Proudman-Johnson equation ⋮ GEODESIC FLOW ON EXTENDED BOTT–VIRASORO GROUP AND GENERALIZED TWO-COMPONENT PEAKON TYPE DUAL SYSTEMS ⋮ Non-uniform dependence and well-posedness for the rotation-Camassa-Holm equation on the torus ⋮ On the global attractor of the two-component \(\pi\)-Camassa-Holm equation with viscous terms ⋮ Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions ⋮ On permanent and breaking waves in hyperelastic rods and rings ⋮ Blowup and blowup rate of solutions to a weakly dissipative periodic rod equation ⋮ Well-posedness of a class of solutions to an integrable two-component Camassa-Holm system ⋮ Supersymmetric Euler equations associated to the N ≤ 3 Neveu-Schwarz algebra ⋮ Bi-Hamiltonian Structure of a Three-Component Camassa-Holm Type Equation ⋮ Bi-Hamiltonian structure of multi-component Novikov equation ⋮ The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system ⋮ The Cauchy problem for the modified two-component Camassa-Holm system in critical Besov space ⋮ Integrable hierarchies related to the Kuper-CH spectral problem ⋮ On the global weak solution to a generalized two-component Camassa-Holm system
Cites Work
This page was built for publication: Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations