This article is cited in 1 paper

METHODS OF THEORETICAL PHYSICS

On integration of some classes of $\mathbf{(n+1)}$-dimensional nonlinear Equations of mathematical physics

A. I. Zenchuk

Landau Institute for Theoretical Physics, Centre for Non-linear Studies

Abstract: This paper represents method for construction of the families of particular solutions to some new classes of $(n+1)$-dimensional nonlinear Partial Differential Equations (PDE). Method is based on the specific link between algebraic matrix equations and PDE. Admittable solutions depend on arbitrary functions of $n$ variables. Examples of deformed Burgers type equations are given.

PACS: 05.45.-a

Received: 06.02.2003

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2003, 77:6, 324–327

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