A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy

DOI10.1016/j.geomphys.2018.05.015zbMath1391.37049OpenAlexW2803335271MaRDI QIDQ1641880

V. A. Poberezhny, S. V. Polenkova, Gerardus F. Helminck

Publication date: 20 June 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.05.015

zbMATH Keywords

linearizationflag varietycompatible Lax equationszero curvature formpseudo-difference operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Difference operators (39A70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy ⋮ Extensions of the discrete KP hierarchy and its strict version ⋮ Expressions in Fredholm determinants for solutions of the strict KP hierarchy ⋮ Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems

Cites Work

• Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective
• Integration of nonlinear equations by the methods of algebraic geometry
• Vertex operator solutions to the discrete KP-hierarchy
• A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy
• Geometric solutions of the strict KP hierarchy
• Toda lattice hierarchy and conservation laws
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
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