Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2 + 1 dimensions
DOI10.1080/14029251.2013.868268zbMath1420.37059arXiv1506.07434OpenAlexW2963064504MaRDI QIDQ5230915
Cristina Sardón, Pilar G. Estevez
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07434
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Noncompact Lie groups of transformations (57S20)
Related Items (6)
Cites Work
- Unnamed Item
- Generalized Qiao hierarchy in \(2+1\) dimensions: reciprocal transformations, spectral problem and non-isospectrality
- A new integrable equation with no smooth solitons
- Reciprocal transformations for a spectral problem in \(2+1\) dimensions
- Reciprocal Bäcklund transformations of autonomous evolution equations
- Bäcklund transformations and their applications
- Reciprocal link for \(2+1\)-dimensional extensions of shallow water equations
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
- The Painlevé property for partial differential equations
- Rational solutions for Schwarzian integrable hierarchies
- Miura transformation between two non-linear equations in 2+1 dimensions
- GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
- On Reciprocal Bäcklund Transformations and the Korteweg-deVries Hierarchy
- An integrable shallow water equation with peaked solitons
- Unified approach to Miura, Bäcklund and Darboux Transformations for Nonlinear Partial Differential Equations
- Hodograph transformations for a Camassa–Holm hierarchy in 2 + 1 dimensions
- A Generalization of the Sine-Gordon Equation to 2 + 1 Dimensions
- Breaking solitons in 2+1-dimensional integrable equations
- Reciprocal transformations in (2+1) dimensions
- Prolongation algebras and Hamiltonian operators for peakon equations
- Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations
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