Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems

DOI10.1007/BF01218020zbMath0677.58025MaRDI QIDQ1123460

Carlo Morosi, Franco Magri, Giorgio Tondo

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

recursion operatorsKdV and KP hierarchiesKonopelchenko's bilocal approachLenard bicomplexNijenhuis G-manifoldtwo-dimensional integral Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Block-diagonalizability problem for hydrodynamic type systems, On the structure of (2+1)-dimensional commutative and noncommutative integrable equations, R-matrices and higher Poisson brackets for integrable systems, An inversion formula for recursion operator of KP hierarchy, Some remarks on symmetries, dressing, and virasoro action, Decoupling problem for systems of quasi-linear PDE's, Hamiltonian theory over noncommutative rings and integrability in multidimensions, Algebraic identities for the Nijenhuis tensors, Introduction, Lie algebraic approach to the construction of (2+1)-dimensional lattice-field and field integrable Hamiltonian equations, Yang-Baxter equations and intermediate long wave hierarchies, Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem, An alternative approach to solve the mixed AKNS equations, The Hamiltonian structure of the (2+1)-dimensional Ablowitz–Kaup–Newell–Segur hierarchy

Cites Work

• Recursion operators and bi-Hamiltonian structures in multidimensions. II
• On the theory of recursion operator
• Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications
• Nonlinear integrable equations. Recursion operators, group-theoretical and Hamiltonian structures of soliton equations
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