The general solutions of some nonlinear second order PDEs.I. Two independent variables, constant parameters

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dc.creatorKosovtsov, Yu. N.
dc.date2008-01-26
dc.date.accessioned2026-07-07T08:56:42Z
dc.date.available2026-07-07T08:56:42Z
dc.descriptionIn the first part of planned series of papers the formal general solutions to selection of 80 examples of different types of second order nonlinear PDEs in two independent variables with constant parameters are given. The main goal here is to show on examples the types of solvable PDEs and what their general solutions look like. The solving strategy, used here, as a rule is the order reduction. The order reduction method is implemented in Maple procedure, which applicable to PDEs of different order with different number of independent variables. Some of given PDEs are solved by order lifting to PDEs, which are solvable by the subsequent order reduction.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0801.4081
dc.identifierhttp://arxiv.org/abs/0801.4081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146708
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject34A05; 34A34; 34A35
dc.titleThe general solutions of some nonlinear second order PDEs.I. Two independent variables, constant parameters
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