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arXiv · 1103.4148

Integration of vector hydrodynamical partial differential equations over octonions

S. V. Ludkovsky
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Abstract

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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S. V. Ludkovsky. 2011-10-04. Integration of vector hydrodynamical partial differential equations over octonions. https://doi.org/10.1080/17476933.2011.598930

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