Nonlinearity plays a major role in the understanding of most physical, chemical, biological,
and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often …

Symmetry classifications and reductions of some classes of (2 + 1 )-nonlinear heat equation
Page 1 J. Math. Anal. Appl. 339 (2008) 175–181 www.elsevier.com/locate/jmaa Symmetry …

In this paper, we study the problem of linearization of nonlinear systems of equations which
is a potential form of systems of nonlinear diffusion equations We construct a class of point …

We consider second-order evolution equations of the form ut= F1 (u, ux) uxx+ F2 (u, ux) and
third order of the form ut= F1 (u, ux) uxxx+ F2 (u, ux, uxx). For each of these equations we …

A preliminary group classification of the class 2D nonlinear heat equations $ u_t= f (x, y, u,
u_x, u_y)(u_ {xx}+ u_ {yy}) $, where $ f $ is arbitrary smooth function of the variables $ x, y, u …

Lie symmetry of a new class of two-dimensional heat equation Page 1 . The 11 th Seminar On
Geometry And Topology Yasouj University, 20-22 July 2021 Lie symmetry of a new class of …

In this paper, we provide a method to solve the Cauchy problem of systems of quasi‐linear
parabolic equations, such systems can be transformed to the systems of linear parabolic …

The one-dimensional heat equation is extensively studied from the point of view of its Lie
point symmetries. A detailed symmetry analysis of this equation can be found in PJ Olver …

Hodograph-type transformations are the point transformations that the new independent and
dependent variables depend respectively on the old dependent and independent variables …