Equations with peakon solutions in the negative order Camassa-Holm hierarchy
From MaRDI portal
Publication:1629153
DOI10.1155/2018/1679625zbMath1404.35109OpenAlexW2794311964WikidataQ130192254 ScholiaQ130192254MaRDI QIDQ1629153
Publication date: 11 December 2018
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/1679625
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Cites Work
- Unnamed Item
- Unnamed Item
- Integrable peakon systems with weak kink and kink-peakon interactional solutions
- On isospectral deformations of an inhomogeneous string
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global conservative solutions of the Camassa-Holm equation
- A convergent numerical scheme for the Camassa-Holm equation based on multipeakons
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
- Wave breaking for nonlinear nonlocal shallow water equations
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
- Multipeakons and the classical moment problem
- Lax integrability and the peakon problem for the modified Camassa-Holm equation
- Wave-breaking and peakons for a modified Camassa-Holm equation
- A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
- An extension of integrable peakon equations with cubic nonlinearity
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Integrable peakon equations with cubic nonlinearity
- Stability of peakons for the Degasperis-Procesi equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- A Variational Approach to the Stability of Periodic Peakons
- An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation
- Colliding peakons and the formation of shocks in the Degasperis–Procesi equation
- Peakon-antipeakon interactions in the Degasperis-Procesi equation
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
- Degasperis-Procesi peakons and the discrete cubic string
- The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and Dym type
This page was built for publication: Equations with peakon solutions in the negative order Camassa-Holm hierarchy