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February 21, 2026Lobachevskii Journal of Mathematics0 citations

On the Polarization of Solutions of Sets of Partial Differential Equations with Constant Coefficients

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IPI. E. PleshchinskayaKazan State Technological UniversityNPN. B. PleshchinskiiKazan Federal University

Key Points

  • This research aims to explore the identification of independent components in the solutions of linear partial differential equations with constant coefficients.
  • Analyzed sets of linear partial differential equations of the first order.
  • Examined general solutions to identify independent components.
  • Investigated the classification of solutions based on polarization.
  • Identified instances where solutions can be viewed as polarized.
  • Demonstrated that independent components can represent different polarizations.

Abstract

Cases have been found when in the general solution of a set of linear partial differential equations of the 1st order with constant coefficients the independent components can be identified in such way that it can be considered as solutions of different polarization.

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Cite This Study

Pleshchinskaya et al. (2025) studied this question.

synapsesocial.com/papers/69994a7f873532290d01efa8https://doi.org/10.1134/s1995080225610616
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