Biquaternionic Wave Equations and the Properties of Their Generalized Solutions
Alexeyeva L.A.
May 2021Pleiades journals
Differential Equations
2021#57Issue 5594 - 604 pp.
Abstract: We consider biquaternionic wave (biwave) equations. They are biquaternionicgeneralizations of the Maxwell and Dirac equations and are equivalent to a system of eightdifferential equations of hyperbolic type. Using the theory of generalized functions, we constructfundamental and generalized solutions of such equations, including discontinuous ones, describingshock waves and obtain conditions on the fronts. A solution of the Cauchy problem for a biwaveequation is constructed, and so are analogs of Kirchhoff–Green’s formulas that permit one todetermine the solution inside a bounded domain given the boundary and initial values of thesolution in this domain.
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Institute of Mathematics and Mathematical Modelling, Ministry of Education andScience, Almaty, 05010, Kazakhstan
Institute of Mathematics and Mathematical Modelling
10 лет помогаем публиковать статьи Международный издатель
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