Nonlocal symmetries of two 2-component equations of Camassa-Holm type
DOI10.1134/S0040577924090046zbMATH Open1548.37103MaRDI QIDQ6632278
Publication date: 4 November 2024
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Cites Work
- Title not available (Why is that?)
- Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
- On an integrable two-component Camassa-Holm shallow water system
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Geometric integrability of the Camassa-Holm equation
- A two-component generalization of the Camassa-Holm equation and its solutions
- Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
- The dual modified Korteweg-de Vries-Fokas-Giao equation: geometry and local analysis
- Two-component CH system: inverse scattering, peakons and geometry
- On a Camassa–Holm type equation with two dependent variables
- On solutions of the two-component Camassa-Holm system
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- On nonlocal symmetries of some shallow water equations
- Nonlocal symmetries and a Darboux transformation for the Camassa–Holm equation
- New nonlocal symmetries with pseudopotentials
- An integrable shallow water equation with peaked solitons
- Asymptotic Integrability of Water Waves
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
- Four super integrable equations: nonlocal symmetries and applications
- Multi-soliton solutions of a two-component Camassa–Holm system: Darboux transformation approach
- A new integrable two-component system with cubic nonlinearity
- Zero curvature formulations of dual hierarchies
- Multisoliton solutions of the two-component Camassa–Holm system and their reductions
- Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy
- The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula
- Nonlocal symmetries and Darboux transformations of the Camassa–Holm equation and modified Camassa–Holm equation revisited
- Multisoliton solutions of the two-component Camassa-Holm equation and its reductions
This page was built for publication: Nonlocal symmetries of two 2-component equations of Camassa-Holm type
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6632278)