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

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.