Group Theoretic Techniques and Their Applications to Some Nonlinear Systems

dc.contributor.guide	Gupta, Rajesh Kumar and Bhatia, S.S.
dc.coverage.spatial
dc.creator.researcher	Kumar, Rajeev
dc.date.accessioned	2021-07-02T05:33:02Z
dc.date.available	2021-07-02T05:33:02Z
dc.date.awarded
dc.date.completed	2015
dc.date.registered
dc.description.abstract	The objective of this thesis is to exploit the group theorectic techniques for solving nonlinear partial di fferential equations (PDEs). Main aim of the present work is to nd the symmetries of nonlinear PDEs in order to obtain their exact solutions by using di erent methods. Five nonlinear systems viz. generalized Kuramoto Sivashinsky equation, generalized Gardner equation, Benny equation, extended Ostrovsky equation and Gowdy equations are investigated for the symmetries and their solutions. Benny equation and extended Ostrovsky equation are also checked for their integrability by Painlev e test. newline
dc.description.note
dc.format.accompanyingmaterial	None
dc.format.dimensions
dc.format.extent	158p.
dc.identifier.uri	http://hdl.handle.net/10603/330058
dc.language	English
dc.publisher.institution	School of Mathematics
dc.publisher.place	Patiala
dc.publisher.university	Thapar Institute of Engineering and Technology
dc.relation
dc.rights	university
dc.source.university	University
dc.subject.keyword	Mathematics
dc.subject.keyword	Nonlinear Partial Differential Equations
dc.title	Group Theoretic Techniques and Their Applications to Some Nonlinear Systems
dc.title.alternative
dc.type.degree	Ph.D.