Structure of Series for Solving System of 1st Order Equations with Partial Derivatives
| Authors: Feoktistov V.V., Miakinnik O.O. | Published: 24.02.2014 |
| Published in issue: #4(35)/2009 | |
| DOI: | |
| Category: Mathematics and Mechanics | |
| Keywords: partial differential equations in matrix form, multi-index, noncommutativity of matrix multiplication, operator of wave interaction, quadratic nonlinearity | |
A structure of a series with indefinite numerical coefficients is suggested for representation of solutions of the linear and nonlinear systems of he 1st order equations with partial derivatives and the associated problems. For the linear system a theorem is proved on the expansion of the analytical solution to the Cauchy problem by traveling waves with matrix coefficients.
