n-Dimensional Bateman Equation and Painleve Analysis of Wave Equations

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dc.creatorEuler, Norbert
dc.creatorLindblom, Ove
dc.date2000-01-13
dc.date.accessioned2026-07-07T05:32:37Z
dc.date.available2026-07-07T05:32:37Z
dc.descriptionIn the Painleve analysis of nonintegrable partial differential equations one obtains differential constraints describing the movable singularity manifold. We show, for a class of n-dimensional wave equations, that these constraints have a general structure which is related to the $n$-dimensional Bateman equation. In particular, we derive the exact expressions of the singularity manifold constraints for the n-dimensional sine-Gordon -, Liouville -, Mikhailov -, and double sine-Gordon equation, as well as two 2-dimensional polynomial field theory equations, and prove that their singularity manifold conditions are satisfied by the n-dimensional Bateman equation. Finally we give some examples.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/nlin/0001022
dc.identifierhttp://arxiv.org/abs/nlin/0001022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79717
dc.subjectExactly Solvable and Integrable Systems
dc.titlen-Dimensional Bateman Equation and Painleve Analysis of Wave Equations
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