Linear operators with self-consistent coefficients and rational reductions of KP hierarchy

DOI10.1016/0167-2789(95)00146-UzbMath1194.37103MaRDI QIDQ992369

I. M. Krichever

Publication date: 11 September 2010

Published in: Physica D (Search for Journal in Brave)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (12)

An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures ⋮ Unitary deformations and complex soliton equations ⋮ Self-consistent sources for integrable equations via deformations of binary Darboux transformations ⋮ Vector nonlinear Schrödinger hierarchies as approximate Kadomtsev-Petviashvili hierarchies ⋮ Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy ⋮ Discrete KP equation with self-consistent sources ⋮ Linear operators with self-consistent coefficients and rational reductions of KP hierarchy ⋮ Quasiperiodic solutions of the negative-order Korteweg-de Vries hierarchy ⋮ Quasi-periodic solutions of the negative-order Jaulent–Miodek hierarchy ⋮ Dispersionful analog of the Whitham hierarchy ⋮ On Grassmannian description of the constrained KP hierarchy ⋮ Integrable hierarchy for multidimensional Toda equations and topological-anti-topological fusion.

Cites Work

• Linear operators with self-consistent coefficients and rational reductions of KP hierarchy
• Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model
• Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. II
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Two-dimensional algebraic-geometric operators with self-consistent potentials
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• N = 1, 2 SUPER-NLS HIERARCHIES AS SUPER-KP COSET REDUCTIONS
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