Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
From MaRDI portal
Publication:1258615
DOI10.1007/BF01681429zbMath0408.70010MaRDI QIDQ1258615
Publication date: 1978
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (58)
Algebraic integrability for the Schrödinger equation and finite reflection groups ⋮ Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model ⋮ Nonlinear supersymmetry in the quantum Calogero model ⋮ Multiparametric families of solutions of the Kadomtsev-Petviashvili-I equation, the structure of their rational representations, and multi-rogue waves ⋮ Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators ⋮ Elliptic solutions of nonlinear integrable equations and related topics ⋮ Degeneration of trigonal curves and solutions of the KP-hierarchy ⋮ Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves ⋮ Supersymmetric quantum spin chains and classical integrable systems ⋮ Darboux transformations for higher-rank Kadomtsev-Petviashvili and Krichever-Novikov equations ⋮ Characterization of rational solutions of a KdV-like equation ⋮ Dynamics of poles of elliptic solutions to the BKP equation ⋮ Finite dimensional Kadomtsev-Petviashvili τ-functions. I. Finite Grassmannians ⋮ Bispectral KP solutions and linearization of Calogero-Moser particle systems ⋮ Integrable time-discretization of the Ruijsenaars-Schneider model ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ Kadomtsev-Petviashvili equation: one-constraint method and lump pattern ⋮ Degenerate lump interactions within the Kadomtsev-Petviashvili equation ⋮ Spin generalization of the Calogero–Moser hierarchy and the matrix KP hierarchy ⋮ On integrability of the deformed Ruijsenaars-Schneider system ⋮ Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system ⋮ Burchnall-Chaundy polynomials for matrix ODOs and Picard-Vessiot theory ⋮ Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy ⋮ On the 3-generated commutative rings of differential operators ⋮ Monodromy free linear equations and many-body systems ⋮ Higher-order heat equation and the Gelfand-Dickey hierarchy ⋮ On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy ⋮ Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation ⋮ Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy ⋮ Elliptic families of solutions to constrained Toda hierarchy ⋮ Commuting differential operators and higher-dimensional algebraic varieties ⋮ The Lagnese-Stellmacher potentials revisited ⋮ KP hierarchy and trigonometric Calogero–Moser hierarchy ⋮ An explicit characterization of Calogero–Moser systems ⋮ On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one ⋮ Noncommutative Painlevé equations and systems of Calogero type ⋮ Rational \(KP\) and \(mKP\)-solutions in Wronskian form ⋮ M-lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation ⋮ Algebraic-geometric solutions of the Krichever-Novikov equation ⋮ On rational solutions of multicomponent and matrix KP hierarchies ⋮ Generalized KP hierarchy: Möbius symmetry, symmetry constraints and Calogero-Moser system ⋮ Classical tau-function for quantum spin chains ⋮ M-lump and interactive solutions to a \((3+1)\)-dimensional nonlinear system ⋮ Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model ⋮ Commuting ordinary differential operators and the Dixmier test ⋮ Kadomtsev-Petviashvili turning points and CKP hierarchy ⋮ Lump molecules in fluid systems: Kadomtsev-Petviashvili I case ⋮ Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method ⋮ Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero–Moser model ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach ⋮ Elliptic solutions to integrable nonlinear equations and many-body systems ⋮ \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems ⋮ An elementary approach to the polynomial \(\tau\)-functions of the KP-hierarchy ⋮ Calogero-Moser spaces and an adelic \(W\)-algebra. ⋮ On a theorem of Halphen and its application to integrable systems ⋮ Field analogue of the Ruijsenaars-Schneider model ⋮ Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy ⋮ Elliptic solutions to the KP hierarchy and elliptic Calogero–Moser model
Cites Work
- E-compact extensions of topological spaces
- Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
- Algebraic curves and commuting matricial differential operators
- Classification of vector bundles over an algebraic curve of arbitrary genus
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
