An application of the Fourier method of separation of variables to constructing exactly solvable deformations of partial differential operators

DOI10.1007/s10958-007-0493-7zbMath1180.35021OpenAlexW2059280624MaRDI QIDQ2654101

S. P. Khekalo

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0493-7

zbMATH Keywords

Huygens' principleHadamard's problemgauge-equivalent operators

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25)

Cites Work

• Unnamed Item
• Hierarchies of Huygens' operators and Hadamard's conjecture
• Huygens' principle in Minkowski spaces and soliton solutions of the Korteweg-de Vries equation
• The solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz integrals
• Iso-Huygens deformations of the Cayley operator by the general Lagnese-Stellmacher potential
• Huygens' principle and integrability
• Fundamental solutions for partial differential equations with reflection group invariance
• A Solution of Hadamard's Problem for a Restricted Class of Operators

This page was built for publication: An application of the Fourier method of separation of variables to constructing exactly solvable deformations of partial differential operators