Integrability of the Gibbons--Tsarev system
Exactly Solvable and Integrable Systems
2007-11-28 v1
Authors:
M. V. Pavlov
Abstract
A new approach extracting multi-parametric hydrodynamic reductions for the integrable hydrodynamic chains is presented. The Benney hydrodynamic chain is considered.
Keywords
Cite
@article{arxiv.0711.4327,
title = {Integrability of the Gibbons--Tsarev system},
author = {M. V. Pavlov},
journal= {arXiv preprint arXiv:0711.4327},
year = {2007}
}
Related papers
View all related →
Exactly Solvable and Integrable Systems · Physics
Integrable hydrodynamic chains
Maxim V. Pavlov
2009-11-10
Exactly Solvable and Integrable Systems · Physics
The Hamiltonian approach in classification and integrability of hydrodynamic chains
Maxim V. Pavlov
2007-05-23
Exactly Solvable and Integrable Systems · Physics
Classification of integrable hydrodynamic chains and generating functions of conservation laws
Maxim V. Pavlov
2009-11-11
Exactly Solvable and Integrable Systems · Physics
Systems of Gibbons-Tsarev type and integrable 3-dimensional models
A. V. Odesskii, V. V. Sokolov
2009-06-19
Exactly Solvable and Integrable Systems · Physics
Hydrodynamic reductions and solutions of a universal hierarchy
L. Martinez Alonso, A. B. Shabat
2009-11-10
Exactly Solvable and Integrable Systems · Physics
Integrable structures of dispersionless systems and differential geometry
Alexander Odesskii
2017-06-28
Exactly Solvable and Integrable Systems · Physics
Integrable (2+1)-dimensional systems of hydrodynamic type
Alexander Odesskii, Vladimir Sokolov
2015-05-19
Exactly Solvable and Integrable Systems · Physics
Integrability of the Manakov--Santini hierarchy
Maxim V. Pavlov, Jen Hsu Chang, Yu Tung Chen
2009-10-14
Exactly Solvable and Integrable Systems · Physics
Classification of integrable hydrodynamic chains
A. Odesskii, V. Sokolov
2015-05-14
Exactly Solvable and Integrable Systems · Physics
Transformations of integrable hydrodynamic chains and their hydrodynamic reductions
Maxim V. Pavlov
2007-05-23
Exactly Solvable and Integrable Systems · Physics
Towards a theory of differential constraints of a hydrodynamic hierarchy
L. Martínez Alonso, A. B. Shabat
2016-08-24
Differential Geometry · Mathematics
Hydrodynamic integrability via geometry
David M. J. Calderbank
2021-09-08
Exactly Solvable and Integrable Systems · Physics
The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems
Zakhar V. Makridin, Maxim V. Pavlov
2025-01-30
Exactly Solvable and Integrable Systems · Physics
Algebro-geometric approach in the theory of integrable hydrodynamic type systems
Maxim V. Pavlov
2015-06-26
Exactly Solvable and Integrable Systems · Physics
Modified dispersionless Veselov--Novikov equations and corresponding hydrodynamic chains
Maxim V. Pavlov
2007-05-23
Exactly Solvable and Integrable Systems · Physics
Hydrodynamic chains and a classification of their Poisson brackets
Maxim V. Pavlov
2015-06-26
High Energy Physics - Theory · Physics
Integrable hydrodynamic chains for WZNW model
Diego Julio Cirilo-Lombardo, Victor D. Gershun
2013-12-17
Exactly Solvable and Integrable Systems · Physics
The Gibbons--Tsarev equation: symmetries, invariant solutions, and applications
Aleksandra Lelito, Oleg I. Morozov
2016-02-08
solv-int · Physics
Invariant Integrability Criterion for the Equations of Hydrodynamical Type
M. V. Pavlov, R. A. Sharipov, S. I. Svinolupov
2008-02-03
Exactly Solvable and Integrable Systems · Physics
Integrability of the Egorov hydrodynamic type systems
Maxim V. Pavlov
2007-05-23
Exactly Solvable and Integrable Systems · Physics
Classification of conservative hydrodynamic chains. Vlasov type kinetic equation, Riemann mapping and the method of symmetric hydrodynamic reductions
Maxim V. Pavlov, Sergej A. Zykov
2009-12-31
Statistical Mechanics · Physics
A note on generalized hydrodynamics: inhomogeneous fields and other concepts
Benjamin Doyon, Takato Yoshimura
2017-05-24
Statistical Mechanics · Physics
Hydrodynamics of nonintegrable systems from a relaxation-time approximation
Javier Lopez-Piqueres, Brayden Ware, Sarang Gopalakrishnan, Romain Vasseur
2021-03-03
Exactly Solvable and Integrable Systems · Physics
Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems
Zakhar V. Makridin, Maxim V. Pavlov
2021-12-22
Exactly Solvable and Integrable Systems · Physics
Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems
Maciej Blaszak, Wen-Xiu Ma
2015-06-26