Matrix-valued Bratu equation associated with the symmetric domains of type BDI and CI
Hiroto Inoue
TL;DR
This paper develops matrix-valued solutions for the Bratu equation within symmetric domains of types BDI and CI, expanding the understanding of these equations in complex geometric contexts.
Contribution
It introduces a formulation of exponential matrix solutions for the matrix-valued Bratu equation specific to symmetric domains of types BDI and CI, providing new analytical tools.
Findings
Explicit matrix-valued solutions for type BDI domains
Analogous solutions for type CI domains
Enhanced understanding of matrix equations in symmetric domains
Abstract
A formulation of the exponential matrix solution of the matrix-valued Bratu equation is given, based on the structure of the symmetric domain of type BDI. Moreover, an analog for the symmetric domain of type CI is given.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Optical Materials Research · Algebraic structures and combinatorial models