MATEC Web Conf.
Volume 83, 2016CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|Number of page(s)||3|
|Section||Nonlinear dynamics of flexible structures|
|Published online||16 November 2016|
On a Method for Solving of Multidimensional Equations of Mathematical Physics
Faculty Appl. Math. & Comp. Sci., Technical University of Sofia, Bulgaria
a e-mail: firstname.lastname@example.org
We consider linear multidimensional evolutionary equations or the linear part of nonlinear ones. The complex structure and the presence of terms with different physical sense requires the coordinate splitting to be preceded by splitting by physical factors (processes). In contrast to the coordinate splitting this kind of splitting can be exact in some nodes and in the intervals it can be controlled. The method in question is developed in 80s of 20th century by G. Marchuk  and till now it is applied very successfully for solving various problems in ecology, air and water pollution, diffusion, etc. Here we show that this method is relevant for studying of propagating ultrashort localized pulses in nonlinear waveguides as well.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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