The global weak solutions to the Cauchy problem of the generalized Novikov equation
DOI10.1080/00036811.2014.930826zbMath1320.35315OpenAlexW2158367964WikidataQ58134428 ScholiaQ58134428MaRDI QIDQ5264217
Yongsheng Li, Wei Yan, Yong-Ye Zhao
Publication date: 24 July 2015
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2014.930826
Cauchy problemglobal strong solutionglobal weak solutionspeaked solutionsgeneralized Novikov equation
KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30) Soliton solutions (35C08) Strong solutions to PDEs (35D35)
Related Items (1)
Cites Work
- Unnamed Item
- Local well-posedness and persistence property for the generalized Novikov equation
- The Cauchy problem for the integrable Novikov equation
- Well-posedness and persistence properties for the Novikov equation
- Analyticity of periodic traveling free surface water waves with vorticity
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- The trajectories of particles in Stokes waves
- 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
- A note on well-posedness for Camassa-Holm equation.
- Global weak solutions for a shallow water equation
- Peakon solutions of the Novikov equation and properties of the data-to-solution map
- The existence of global strong and weak solutions for the Novikov equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- On the weak solutions to a shallow water equation
- On the scattering problem for the Camassa-Holm equation
- Global weak solutions for the Novikov equation
- An extension of integrable peakon equations with cubic nonlinearity
- Inverse scattering transform for the Camassa–Holm equation
- Integrable peakon equations with cubic nonlinearity
- Long-time Asymptotics for the Camassa–Holm Equation
- Generalizations of the Camassa–Holm equation
- Commutator estimates and the euler and navier-stokes equations
- Global weak solutions for a shallow water equation
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- Particle trajectories in solitary water waves
- The Cauchy problem for the Novikov equation
This page was built for publication: The global weak solutions to the Cauchy problem of the generalized Novikov equation
