Integration of vector hydrodynamical partial differential equations over octonions

Details Integration of vector hydrodynamical partial differential equations over octonions Integration of vector hydrodynamical partial differential equations over octonions

2011-03-21

arxiv.org/abs/1103.4148v2

Mathematics

Analysis of PDEs

26 pages

Scientific paper

New technique of integration of certain types of partial differential equations is developed. For this purpose non-commutative integration over Cayley-Dickson algebras is used. Applications to non-linear vector partial differential equations of Korteweg-de-Vries and Kadomtzev-Petviashvili types and describing non-isothermal flows of incompressible Newtonian liquids are given.

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