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Integration of nonlinear Partial Differential Equations by using matrix algebraic systems

A. I. Zenchuk
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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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A. I. Zenchuk. 2002-10-16. Integration of nonlinear Partial Differential Equations by using matrix algebraic systems. https://arxiv.org/abs/nlin/0210031

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