Multi-variable reductions of the dispersionless DKP hierarchy

DOI10.1088/1751-8121/aa9457zbMath1386.37066arXiv1707.01528OpenAlexW2729187625MaRDI QIDQ4600919

No author found.

Publication date: 18 January 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01528

zbMATH Keywords

Gibbons-Tsarev equationEgorov-type metricelliptic Löwner equationmulti-variable reduction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items

Löwner equations and reductions of dispersionless hierarchies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit
• Loewner theory in annulus. II: Loewner chains
• Solitons and infinite dimensional Lie algebras
• Integrable elliptic pseudopotentials
• Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarchy
• Combinatorics of dispersionless integrable systems and universality in random matrix theory
• Method of averaging for two-dimensional integrable equations
• Pfaff \(\tau\)-functions
• Deformed Ginibre ensembles and integrable systems
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• On the integrability of \((2+1)\)-dimensional quasilinear systems
• Conformal maps and reductions of the Benney equations
• Reductions of the Benney equations.
• Integrable \((2+1)\)-dimensional systems of hydrodynamic type
• Theta vocabulary. I
• Dispersionless BKP hierarchy and quadrant Löwner equation
• Algebro-geometric approach in the theory of integrable hydrodynamic type systems
• Integrable structure of the Dirichlet boundary problem in multiply-connected domains
• Toda lattice hierarchy and conservation laws
• Matrix Integrals and the Geometry of Spinors
• Painlevé–Calogero correspondence revisited
• Loewner theory in annulus I: Evolution families and differential equations
• Quantum Painlevé-Calogero correspondence for Painlevé VI
• Dispersionless DKP hierarchy and the elliptic Löwner equation
• Differential Fay identities and auxiliary linear problem of integrable hiearchies
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Hierarchies of Coupled Soliton Equations. I
• Reductions and hodograph solutions of the dispersionless KP hierarchy
• On various solutions of the coupled KP equation
• Orthogonal and Symplectic Matrix Integrals and Coupled KP Hierarchy
• S-functions, reductions and hodograph solutions of the rth dispersionless modified KP and Dym hierarchies
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
• Rational solutions to the Pfaff lattice and Jack polynomials
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT
• Classical and Stochastic Löwner–Kufarev Equations
• N-soliton solutions to the DKP equation and Weyl group actions
• Löwner equations and dispersionless hierarchies
• ON A GENERALIZED TZITZEICA EQUATION

This page was built for publication: Multi-variable reductions of the dispersionless DKP hierarchy