Lie algebra contractions and symmetries of the Toda hierarchy
Journal of Physics A: Mathematical and General, ISSN: 0305-4470, Vol: 33, Issue: 28, Page: 5025-5040
2000
- 38Citations
- 4Captures
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Article Description
The Lie algebra L(△) of generalized and point symmetries of the equations in the Toda hierarchy is shown to be a semidirect sum of two infinite-dimensional Lie algebras, one perfect, the other Abelian. In the continuous limit the structure of the Lie algebra changes: a contraction occurs with the lattice spacing as the contraction parameter. In particular, for the Toda equation itself, a set of five elements, involving both point symmetries and generalized ones, contracts to the point symmetry algebra of the potential KdV equation.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0034697928&origin=inward; http://dx.doi.org/10.1088/0305-4470/33/28/307; https://iopscience.iop.org/article/10.1088/0305-4470/33/28/307; https://dx.doi.org/10.1088/0305-4470/33/28/307; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=c0b316c9-752a-4b18-9b53-0e892f657932&ssb=34271278354&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0305-4470%2F33%2F28%2F307&ssi=3ce2fa33-cnvj-463b-b3a8-a95f7a66f319&ssk=botmanager_support@radware.com&ssm=174541373429125091863709668122195253&ssn=1e0c7584f56b28083493c97429b8851431750900c3c4-8990-4f21-af52f0&sso=98c42f8c-bc564dd29dea1d5535c65033947f7b8816fda8e0e5869583&ssp=69396572621726554411172679998005153&ssq=25649414012141729455429239102564704753809&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJyZCI6ImlvcC5vcmciLCJfX3V6bWYiOiI3ZjYwMDBkNzYzNGE3Ni05ZTRkLTRjMmMtYjJhMC1mYzAzNGMyZjE1MjkxNzI2NTI5MjM5NDUzMjEwODgyMjQ4LTY4OTI5MjY0NWUzYTFiMGMxODYzNTIiLCJ1em14IjoiN2Y5MDAwMGMxZDc2YmItMzk2MS00N2VjLTlkZGItNjdmYTVhZTY2ODdlNC0xNzI2NTI5MjM5NDUzMjEwODgyMjQ4LTI2NmUxYTdiNjY5YjdjODgxODYzMzEifQ==
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