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

2002/03/13 by A. I. Zenchuk, Zenchuk, A. I.
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0203021

17 pages

arxiv created 2002/03/13 · arxiv updated 2009/11/30

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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