Study of N=1 and N=2 supersymmetric integrable hierarchies and their soliton solutions

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dc.contributor.author Sarma, Debojit
dc.date.accessioned 2020-08-16T12:19:37Z
dc.date.available 2020-08-16T12:19:37Z
dc.date.issued 2002
dc.identifier.other ROLL NO. 984402
dc.identifier.uri http://gyan.iitg.ernet.in/handle/123456789/1586
dc.description Supervisor:Sasanka Ghosh en_US
dc.description.abstract Integrable models have seen major advances in the last four decades bringing together various branches of mathematics and having diverse physical applications. Of great interest is the realization that integrable systems give rise to nondispersive, localized travelling wave solutions called solitons. The task of constructing such solutions have resulted in the development of many different techniques to solve these systems, which are non-linear, partial differential equations and difficult to solve analytically. Another characteristic of integrable models is that they are Hamiltonian systems and their Hamiltonian structures are closely related to the conformal algebras. This was made clear when it was shown that the second Hamiltonian structure of the KdV hierarchy is isomorphic to non-linear algebras known as the Wn algebras. Later on the symmetry structures associated with the KP hierarchy, which includes the KdV hierarchy have been investigated en_US
dc.language.iso en en_US
dc.relation.ispartofseries TH-1864;
dc.subject PHYSICS en_US
dc.title Study of N=1 and N=2 supersymmetric integrable hierarchies and their soliton solutions en_US
dc.type Thesis en_US


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