An analysis of the nonlinear equation u(t) = f(x, u)u(xx) + g(x, u)u(x)(2) + h(x, u)u(x) + p(x, u)

作者：Edelstein R M; Govinder K S^*

来源：Pramana - Journal of Physics, 2011, 76(1): 23-36.

DOI：10.1007/s12043-011-0016-4

• Partial differential equations
• symmetries, nonlinear diffusion equation

We use the method of preliminary group classification to analyse a particular form of the nonlinear diffusion equation in which the inhomogeneity is quadratic in u(x). The method yields an optimal system of one-dimensional subalgebras. As a result we obtain those explicit forms of the unknown functions f, g, h and p for which the equation admits additional point symmetries.

• 出版日期2011-1