Construction of an infinite-dimensional family of exact solutions of a three-dimensional biharmonic equation by the hypercomplex method

2024/07/13 by Shpakivskyi, Vitalii
#13N15 #13P25 #30G35 #35C05 #35C15 #35J30 #Analysis of PDEs (math.AP) #Commutative Algebra (math.AC) #Complex Variables (math.CV) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences

paper · doi:10.48550/arxiv.2407.09821

Abstract

An infinite-dimensional family of exact solutions of a three-dimensional biharmonic equation was constructed by the hypercomplex method.

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