Integration of vector hydrodynamical partial differential equations over octonions
Analysis of PDEs
2018-12-18 v2 Rings and Algebras
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.
Cite
@article{arxiv.1103.4148,
title = {Integration of vector hydrodynamical partial differential equations over octonions},
author = {S. V. Ludkovsky},
journal= {arXiv preprint arXiv:1103.4148},
year = {2018}
}
Comments
26 pages