Singular sector of the Burgers Hopf hierarchy and deformations of hyperelliptic curves

DOI10.1088/0305-4470/35/31/104zbMath1039.37062arXivnlin/0205012OpenAlexW3102956808MaRDI QIDQ4465988

B. G. Konopelchenko, Yuji Kodama

Publication date: 9 June 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0205012

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) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (15)

Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings ⋮ Integrable deformations of algebraic curves ⋮ Light propagation in a Cole-Cole nonlinear medium via the Burgers-Hopf equation ⋮ Thermodynamic phase transitions and shock singularities ⋮ On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation ^* ⋮ On the singular sector of the Hermitian random matrix model in the large \(N\) limit ⋮ Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian ⋮ Integrable semiclassical deformations of general algebraic curves and associated conservation laws ⋮ A class of solutions of the dispersionless KP equation ⋮ Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain ⋮ Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\) ⋮ Confluence of hypergeometric functions and integrable hydrodynamic-type systems ⋮ Birkhoff Strata of Sato Grassmannian and Algebraic Curves ⋮ Integrable quasiclassical deformations of cubic curves ⋮ Symmetries and criticality of generalised van der Waals models

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