The initial value problem for a Novikov system
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Publication:3185685
DOI10.1063/1.4959774zbMath1342.35068OpenAlexW2479114867MaRDI QIDQ3185685
A. Alexandrou Himonas, Dionyssios Mantzavinos
Publication date: 4 August 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4959774
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Traveling wave solutions (35C07) Soliton solutions (35C08) Initial value problems for systems of nonlinear first-order PDEs (35F55) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)
Related Items (13)
On the Cauchy problem and peakons of a two-component Novikov system ⋮ On the Cauchy problem for the new integrable two-component Novikov equation ⋮ Smooth multisoliton solutions of a 2-component peakon system with cubic nonlinearity ⋮ Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems ⋮ Local well-posedness and blow-up criteria for a three-component Camassa–Holm type equation ⋮ On the Cauchy problem of a new integrable two-component Novikov equation ⋮ Global weak solutions for the two-component Novikov equation ⋮ Global conservative weak solutions for the two-component Novikov equation ⋮ A new generalised two-component Camassa-Holm type system with waltzing peakons and wave breaking ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation ⋮ Well-posedness and analyticity of the Cauchy problem for the multi-component Novikov equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ The two-component Novikov-type systems with peaked solutions and \(H^1\)-conservation law
Cites Work
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- Non-uniform dependence on initial data for the CH equation on the line.
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- On well-posedness of the Degasperis-Procesi equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- On the Cauchy problem for the periodic \(b\)-family of equations and of the non-uniform continuity of Degasperis-Procesi equation
- Global conservative solutions of the Camassa-Holm equation
- Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
- Sharp well-posedness results for the BBM equation
- Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
- Pseudodifferential operators and nonlinear PDE
- On the ill-posedness of some canonical dispersive equations.
- The Cauchy problem for an integrable shallow-water equation
- A few remarks on the Camassa-Holm equation.
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Non-uniform continuity in \(H^1\) of the solution map of the CH equation
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Traveling wave solutions of the Camassa-Holm equation
- The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
- Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation
- The Periodic Cauchy Problem for Novikov's Equation
- An extension of integrable peakon equations with cubic nonlinearity
- Integrable peakon equations with cubic nonlinearity
- Non-Uniform Dependence for the Periodic CH Equation
- Generalizations of the Camassa–Holm equation
- Commutator estimates and the euler and navier-stokes equations
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- An integrable shallow water equation with peaked solitons
- Commutator estimates
- A Class of Equations with Peakon and Pulson Solutions (with an Appendix by Harry Braden and John Byatt-Smith)
- The Cauchy problem for the Novikov equation
- On the Cauchy problem for the Camassa-Holm equation
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