Symmetries and casimir of an extended classical long wave system

Pramana

B Dubrovin²  K M Tamizhmani1¹  R Ilangovane¹ 

[1] Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University, Puducherry 605 014, India$$;Scuola Internazionale Superiore di Studi Avanzati, via Bonomea, 265, 34136 Trieste, Italy$$

关键词: Dispersionless equations;    symmetries;    casimir;    conserved quantities.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we derive Lie point, generalized, master and time-dependent symmetries of a dispersionless equation, which is an extension of a classical long wave system. This equation also admits an infinite-dimensional Lie algebraic structure of Virasoro-type, as in the dispersive integrable systems. We discuss the construction of a sequence of negative ranking symmetries through the property of uniformity in rank. More interestingly, we obtain the conserved quantities directly from the casimir of Poisson pencil.

【 授权许可】

Unknown