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25 April 2024

» arxiv » 1508.5531

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Generalizing Bagarello's operator approach to solve a class of partial differential equations
Jean Ghislain Compaore ; Villevo Adanhounme ; Mahouton Norbert Hounkonnou ;
Date:	22 Aug 2015
Abstract:	The non-commutative strategy developed by Bagarello (see Int. Jour. of Theoretical Physics, 43, issue 12 (2004), p. 2371 - 2394) for the analysis of systems of ordinary differential equations (ODEs) is extended to a class of partial differential equations (PDEs), namely evolution equations and Navier-Stokes equations. Systems of PDEs are solved using an unbounded self-adjoint, densely defined, Hamiltonian operator and a recursion relation which provides a multiple commutator and a power series solution. Numerous examples are given in this work.
Source:	arXiv, 1508.5531
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