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Conservation laws and symmetries of generalized sine-Gordon equations
dc.contributor.authorWilson, Georgeen_US
dc.contributor.authorKupershmidt, Boris A.en_US
dc.date.accessioned2006-09-11T17:52:58Z
dc.date.available2006-09-11T17:52:58Z
dc.date.issued1981-06en_US
dc.identifier.citationKupershmidt, B. A.; Wilson, George; (1981). "Conservation laws and symmetries of generalized sine-Gordon equations." Communications in Mathematical Physics 81(2): 189-202. <http://hdl.handle.net/2027.42/46520>en_US
dc.identifier.issn0010-3616en_US
dc.identifier.issn1432-0916en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46520
dc.description.abstractWe study some systems of non-linear PDE's (Eqs. 1.1 below) which can be regarded either as generalizations of the sine-Gordon equation or as two-dimensional versions of the Toda lattice equations. We show that these systems have an infinite number of non-trivial conservation laws and an infinite number of symmetries. The second result is deduced from the first by a variant of the Hamiltonian formalism for evolution equations. We also consider some specializations of the systems.en_US
dc.format.extent911625 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.titleConservation laws and symmetries of generalized sine-Gordon equationsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherMathematical Institute, 24-29 St Giles, OX1 3LB, Oxford, Englanden_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46520/1/220_2005_Article_BF01208894.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01208894en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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