Factorization of linear and nonlinear differential operators: necessary and sufficient conditions

2011/07/25 by Mahouton Norbert Hounkonnou, Hounkonnou, Mahouton Norbert, Pascal Dkengne Sielenou +1
Mathematics · Physics and Astronomy · #34-01 #34A30 #34A34 #35-01 #47E05 #47F05 #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1107.5014

openalex publication_date 2011/07/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided. In the particular case of second order linear and nonlinear PDEs and systems of PDEs, necessary and sufficient conditions of factorization are given.

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