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

W. X. Ma·R. K. Bullough·P. J. Caudrey
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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.

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BibTeXRIS

W. X. Ma, R. K. Bullough, P. J. Caudrey. 1997-05-27. Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP equations. https://doi.org/10.2991/jnmp.1997.4.3-4.6

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