Maurer-Cartan equations for Lie symmetry pseudogroups of differential equations

Jeongoo Cheh; Peter J. Olver; Juha Pohjanpelto

doi:10.1063/1.1836015

Maurer-Cartan equations for Lie symmetry pseudogroups of differential equations

Jeongoo Cheh, Peter J. Olver, Juha Pohjanpelto

School of Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

A new method of constructing structure equations of Lie symmetry pseudogroups of differential equations, dispensing with explicit solutions of the (infinitesimal) determining systems of the pseudogroups, is presented, and illustrated by the examples of the Kadomtsev-Petviashvili and Korteweg-de Vries equations.

Original language	English (US)
Article number	023504
Journal	Journal of Mathematical Physics
Volume	46
Issue number	2
DOIs	https://doi.org/10.1063/1.1836015
State	Published - Feb 2005

Bibliographical note

Funding Information:
One of the authors (J.C.) would like to thank Evelyne Hubert and Elizabeth Mansfield for their helpful advice received in his effort to understand the computational aspect of the project. The research of two of the authors (J.C. and P.J.O.) was supported in part by NSF Grant No. DMS01-03944.

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10.1063/1.1836015

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Maurer-Cartan equations for Lie symmetry pseudogroups of differential equations

Abstract

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