Symmetries, integrals and hierarchies of new (3+1)-dimensional bi-Hamiltonian systems of Monge-Ampère type
DOI10.1016/j.geomphys.2019.103513zbMath1428.35590arXiv1904.11174OpenAlexW2973434109MaRDI QIDQ2331530
Mikhail B. Sheftel, Devrim Yazıcı
Publication date: 29 October 2019
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.11174
recursion operatorHamiltonian operatorMonge-Ampère equationspoint symmetriesconserved densitiesbi-Hamiltonian hierarchy
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)
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Cites Work
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- Recursion operators and tri-Hamiltonian structure of the first heavenly equation of Plebański
- Geometry of jet spaces and integrable systems
- Lax pairs, recursion operators and bi-Hamiltonian representations of \((3+1)\)-dimensional Hirota type equations
- Anti-self-dual gravitational metrics determined by the modified heavenly equation
- On the integrability of symplectic Monge-Ampère equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Applications of symmetry methods to partial differential equations
- A simple construction of recursion operators for multidimensional dispersionless integrable systems
- Recursion operators and bi-Hamiltonian structure of the general heavenly equation
- Bi-Hamiltonian Representation, Symmetries and Integrals of Mixed Heavenly and Husain Systems
- General heavenly equation governs anti-self-dual gravity
- Self-dual gravity is completely integrable
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- A simple model of the integrable Hamiltonian equation
- Recursion operators and non-local symmetries
- Generalized negative flows in hierarchies of integrable evolution equations
- On a class of integrable systems of Monge-Ampère type
- Multi-Hamiltonian structure of Plebanski's second heavenly equation
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