On integration of some classes of (n+1)-dimensional nonlinear Equations of mathematical physics
A. I. Zenchuk
Center of Nonlinear Studies of L.D.Landau Institute for Theoretical Physics, 119334 Moscow, Russia
PACS: 05.45.-a
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.