A note on the generalized Camassa-Holm equation

DOI10.1155/2014/975925zbMath1309.35120OpenAlexW1966000646WikidataQ59057803 ScholiaQ59057803MaRDI QIDQ2256685

Publication date: 20 February 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/975925

zbMATH Keywords

blow-up ill-posedness Novikov equation generalized Camassa-Holm equation strong and weak solutions peaked solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Strong solutions to PDEs (35D35)

Cites Work

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Wave breaking of the Camassa-Holm equation
The Cauchy problem for a two-component Novikov equation in the critical Besov space
Well-posedness and persistence properties for the Novikov equation
Non-uniform dependence on initial data for the CH equation on the line.
Analyticity of periodic traveling free surface water waves with vorticity
Blow-up phenomenon for the integrable Novikov equation
Dissipative solutions for the Camassa-Holm equation
The trajectories of particles in Stokes waves
Global conservative solutions of the Camassa-Holm equation
Symplectic structures, their Bäcklund transformations and hereditary symmetries
Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
Wave breaking for nonlinear nonlocal shallow water equations
On the Cauchy problem for the periodic Camassa-Holm equation
Breakdown of a shallow water equation
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Blowup for nonlinear hyperbolic equations
The Cauchy problem for an integrable shallow-water equation
Classical solutions of the periodic Camassa-Holm equation.
Existence of permanent and breaking waves for a shallow water equation: a geometric approach
The dependences on initial data for the b-family equation in critical Besov space
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On the weak solutions to a shallow water equation
A note on the Cauchy problem of the Novikov equation
A note on the solution map for the periodic Camassa–Holm equation
Global weak solutions for the Novikov equation
The Periodic Cauchy Problem for Novikov's Equation
An extension of integrable peakon equations with cubic nonlinearity
GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
Integrable peakon equations with cubic nonlinearity
Generalizations of the Camassa–Holm equation
Commutator estimates and the euler and navier-stokes equations
Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
An integrable shallow water equation with peaked solitons
Commutator estimates
Large time behavior for the support of momentum density of the Camassa-Holm equation
Continuous properties of the solution map for the Euler equations
Particle trajectories in solitary water waves
Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
The Cauchy problem for a generalized Camassa-Holm equation
The Cauchy problem for the Novikov equation

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