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dc.contributor.advisorWoehler, Karlheinz E.
dc.contributor.authorDavis, William Joseph
dc.date.accessioned2013-02-15T23:33:10Z
dc.date.available2013-02-15T23:33:10Z
dc.date.issued1968-06
dc.identifier.urihttp://hdl.handle.net/10945/28423
dc.description.abstractSolutions to a nonlinear wave equation were analyzed for their stability. The wave equation is a Klein-Gordon equation with the mass replaced by the square of the wave function. This wave equation has propagating solutions which are unbounded or periodic, depending on the sign of the nonlinear term and the propagation speed which can be sub- or super-light velocity. The stability of the Deriodic sublight velocity solution was investigated by the method of characteristic exponents and was found to be indifferent. Liapounoff's direct method and Sturrock's analysis of the dispersion relation combined with a WKB technique were applied to a linearized perturbation on a static solution of 2 the field equation. The periodic solution with (3 < 1 is stable, while the method of characteristic exponents gives indifference. The super-light velocity solutions are unstable. Due to the limitations of the approximations, it could not be determined whether the instabilitv is absolute or convective.en_US
dc.description.urihttp://archive.org/details/onstabilityofsol00davi
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.titleOn The Stability of Solutions of a Nonlinear Field Equation.en_US
dc.typeThesisen_US
dc.contributor.corporateNaval Postgraduate School
dc.contributor.schoolNaval Postgraduate School
dc.contributor.departmentPhysics
dc.description.serviceCaptain, United States Air Forceen_US
etd.thesisdegree.nameM.S. in Physicsen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplinePhysicsen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US


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