Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations

DOI

10.2991/jnmp.1997.4.3-4.6How to use a DOI?

Abstract

By starting from known graded Lie algebras, including Virasoro algebras, new kinds of time-dependent evolution equations are found possessing graded symmetry algebras. The modified KP equations are taken as an illustrative example: new modified KP equations with m arbitrary time-dependent coefficients are obtained possessing symmetries involving m arbitrary functions of time. A particular graded symmetry algebra for the modified KP equations is derived in this connection homomorphic to the Virasoro algebras.

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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TY  - JOUR
AU  - Wen-Xiu Ma
AU  - R.K. Bullough
AU  - P.J. Caudrey
PY  - 1997
DA  - 1997/09/01
TI  - Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 293
EP  - 309
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.6
DO  - 10.2991/jnmp.1997.4.3-4.6
ID  - Ma1997
ER  -