Abstract
The implications of infinite dimensional Lie algebra, Virasoro and Kac-Moody algebras in the study of completely integrable partial differential equations, are reviewed. Intimate relations are shown to exist between prolongation algebra, Lie-Bäcklund algebra and such infinite dimensional algebras. The importance of conformal invariance is emphasized and some new aspects of complete integrability are exhibited. Lastly the relation between bi-Hamiltonian structure and conformal invariance is explained.KeywordsConformal InvarianceHamiltonian StructureBacklund TransformationSoliton HierarchyIntegrable Partial Differential EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
