An Integrable Matrix Camassa-Holm Equation*
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Publication:3387694
DOI10.1088/0253-6102/71/12/1399zbMath1452.37067OpenAlexW2994655164MaRDI QIDQ3387694
Baoqiang Xia, Li-Feng Chan, Ruguang Zhou
Publication date: 13 January 2021
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0253-6102/71/12/1399
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)
Cites Work
- Invertible Darboux transformations
- A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions
- A four-component Camassa-Holm type hierarchy
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
- Integrable \(U(1)\)-invariant peakon equations from the NLS hierarchy
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- A two-component generalization of the Camassa-Holm equation and its solutions
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Traveling wave solutions of the Camassa-Holm equation
- On the scattering problem for the Camassa-Holm equation
- A Synthetical Two-Component Model with Peakon Solutions
- Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples
- 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
- An integrable shallow water equation with peaked solitons
- The dynamics of conservative peakons in a family of U(1)‐invariant integrable equations of NLS‐Hirota type
- A three-component Camassa-Holm system with cubic nonlinearity and peakons
- A new integrable two-component system with cubic nonlinearity
- A new two-component integrable system with peakon solutions