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

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

doi:10.2991/jnmp.1997.4.3-4.6

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

solv-int 2015-06-26 v1 Exactly Solvable and Integrable Systems

Authors: 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.

Keywords

graded symmetry algebras time-dependent evolution equations modified kp equations virasoro algebras time-dependent coefficients

Cite

@article{arxiv.solv-int/9705015,
  title  = {Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP equations},
  author = {W. X. Ma and R. K. Bullough and P. J. Caudrey},
  journal= {arXiv preprint arXiv:solv-int/9705015},
  year   = {2015}
}

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19 pages, latex, to appear in J. Nonlinear Math. Phys

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

Abstract

Keywords

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