Integration of nonlinear Partial Differential Equations by using matrix algebraic systems

2002/10/16 by A. I. Zenchuk, Zenchuk, A. I.
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Numerical methods for differential equations #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0210031

13 pages

arxiv created 2002/10/16 · openalex publication_date 2002/10/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper develops the method for construction of families of particular solutions to some classes of nonlinear Partial Differential Equations (PDE). Method is based on the specific link between algebraic matrix equations and PDE. Admittable solutions involve arbitrary functions of either single or several variables.

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