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Analysis of nonlinear Benjamin equation posed on the real line.

dc.contributor.advisorParamasur, Nabendra.
dc.contributor.advisorShindin, Sergey Konstantinovich.
dc.contributor.authorAluko, Olabisi Babatope.
dc.date.accessioned2023-11-07T00:10:27Z
dc.date.available2023-11-07T00:10:27Z
dc.date.created2022
dc.date.issued2022
dc.descriptionDoctoral Degree, University of KwaZulu-Natal, Durban.en_US
dc.description.abstractThe thesis contains a comprehensive theoretical and numerical study of the nonlinear Benjamin equation posed in the real line. We explore wellposedness of the problem in weighted settings and provide a detailed study of existence, regularity and orbital stability of traveling wave solutions. Further, we present a comprehensive study of the Malmquist-Takenaka-Christov (MTC) computational basis and employ it for the numerical treatment of the nonstaionary and the stationary Benjamin equations.en_US
dc.identifier.urihttps://researchspace.ukzn.ac.za/handle/10413/22502
dc.language.isoenen_US
dc.subject.otherMalmquist-Takenaka-Christov Functions.en_US
dc.subject.otherSpectral collocation.en_US
dc.subject.otherDifferential equations.en_US
dc.subject.otherError bounds.en_US
dc.subject.otherTraveling waves.en_US
dc.titleAnalysis of nonlinear Benjamin equation posed on the real line.en_US
dc.typeThesisen_US

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