Journal of Nonlinear Mathematical Physics

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Volume 4, Issue 3-4, September 1997, Pages 364 - 376

The Cohomology of the Variational Bicomplex Invariant under the Symmetry Algebra of the Potential Kadomtsev-Petviashvili Equation

Authors
Juha Pohjanpelto
Corresponding Author
Juha Pohjanpelto
Available Online 1 September 1997.
DOI
10.2991/jnmp.1997.4.3-4.11How to use a DOI?
Abstract

The variational bicomplex of forms invariant under the symmetry algebra of the potential Kadomtsev-Petviashvili equation is described and the cohomology of the associated Euler-Lagrange complex is computed. The results are applied to a characterization problem of the Kadomtsev-Petviashvili equation by its symmetry algebra originally posed by David, Levi, and Winternitz.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 3-4
Pages
364 - 376
Publication Date
1997/09/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.3-4.11How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Juha Pohjanpelto
PY  - 1997
DA  - 1997/09/01
TI  - The Cohomology of the Variational Bicomplex Invariant under the Symmetry Algebra of the Potential Kadomtsev-Petviashvili Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 364
EP  - 376
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.11
DO  - 10.2991/jnmp.1997.4.3-4.11
ID  - Pohjanpelto1997
ER  -