Hierarchies of Huygens' operators and Hadamard's conjecture

DOI10.1023/A:1006069012474zbMath0923.35147OpenAlexW69985083MaRDI QIDQ1273488

Yuri Yu. Berest

Publication date: 31 October 1999

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006069012474

zbMATH Keywords

Huygens' principleintegrable systemshyperbolic equationslacunas

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) Wave equation (35L05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (13)

HUYGENS' PRINCIPLE AND SEPARATION OF VARIABLES ⋮ Stepwise gauge equivalence of differential operators ⋮ An application of the Fourier method of separation of variables to constructing exactly solvable deformations of partial differential operators ⋮ New applications of quantum algebraically integrable systems in fluid dynamics ⋮ Burchnall-Chaundy polynomials and Dunkl-Darboux operators ⋮ Huygens' principle for the Klein-Gordon equation in the de Sitter spacetime ⋮ Huygens' principle, Dirac operators, and rational solutions of the AKNS hierarchy ⋮ Huygens' principle for hyperbolic operators and integrable hierarchies ⋮ Level sets as progressing waves: an example for wake-free waves in every dimension ⋮ On Huygens' principle for Dirac operators associated to electromagnetic fields ⋮ Solution of the Hadamard problem in the class of stepwise gauge-equivalent deformations of homogeneous differential operators with constant coefficients ⋮ 2D Locus Configurations and the Trigonometric Calogero–Moser System ⋮ Gauge-equivalent deformations of linear ordinary differential operators with constant coefficients

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