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Construction of particular solutions to nonlinear equations of Mathematical Physics by using matrix algebraic equation

A. I. Zenchuk
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Abstract

The paper develops the method for construction of the families of particular solutions to the nonlinear Partial Differential Equations (PDE) without relation to the complete integrability. Method is based on the specific link between algebraic matrix equations and PDE. Example of (2+2)-dimensional generalization of Burgers equation is given.

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A. I. Zenchuk. 2002-03-13. Construction of particular solutions to nonlinear equations of Mathematical Physics by using matrix algebraic equation. https://arxiv.org/abs/nlin/0203021

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