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Dispersionful analog of the Whitham hierarchy (Q5505015)

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scientific article; zbMATH DE number 5497166

Language	Label	Description	Also known as
English	Dispersionful analog of the Whitham hierarchy	scientific article; zbMATH DE number 5497166

Statements

scholarly article

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Dispersionful analog of the Whitham hierarchy (English)

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Błażej M. Szablikowski

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Maciej Błaszak

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Journal of Mathematical Physics

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publication date

23 January 2009

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full work available at URL

https://arxiv.org/abs/0707.1082

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MaRDI profile type

MaRDI publication profile

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Method of averaging for two-dimensional ''integrable'' equations

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The τ‐function of the universal whitham hierarchy, matrix models and topological field theories

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The Whitham hierarchies: reductions and hodograph solutions

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Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–

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Solitons and infinite dimensional Lie algebras

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The <i>n</i>-component KP hierarchy and representation theory

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Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy

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On a reduction of the multi-component KP hierarchy

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

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Dispersionful analogues of Benney's equations and <b> <i>N</i> </b> -wave systems

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Constrained KP hierarchy and bi-Hamiltonian structures

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Multi-field representations of the KP hierarchy and multi-matrix models

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The (<i>N</i>,<i>M</i>)th Korteweg–de Vries hierarchy and the associated <i>W</i>-algebra

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Constrained KP Hierarchies: Additional Symmetries, Darboux–Bäcklund Solutions and Relations to Multi-Matrix Models

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What is a classical r-matrix?

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An \(r\)-matrix approach to nonstandard classes of integrable equations

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<i>R</i>-matrix approach to lattice integrable systems

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From dispersionless to soliton systems via Weyl–Moyal-like deformations

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INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

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The Atiyah-Bott-Patodi method in deformation quantization

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Classical<i>R</i>-matrix theory of dispersionless systems: I. (1 1)-dimension theory

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Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems

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On the Whitham hierarchy: dressing scheme, string equations and additional symmetries

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THE TOPOLOGICAL <font>CP</font><sup>1</sup> MODEL AND THE LARGE-N MATRIX INTEGRAL

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Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism. I: Remnants of duality at the classical level

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Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

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Coisotropic deformations of associative algebras and dispersionless integrable hierarchies

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Dispersionless integrable equations as coisotropic deformations: extensions and reductions

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Identifiers

zbMATH Open document ID

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10.1063/1.2970774

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5505015

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