Continuous and Discrete Transformations of a One-Dimensional Porous Medium Equation
نویسندگان
چکیده
منابع مشابه
Continuous and Discrete Transformations of a One-Dimensional Porous Medium Equation
We consider the one-dimensional porous medium equation ut = (u nux)x+ μ x uux. We derive point transformations of a general class that map this equation into itself or into equations of a similar class. In some cases this porous medium equation is connected with well known equations. With the introduction of a new dependent variable this partial differential equation can be equivalently written...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 1999
ISSN: 1776-0852
DOI: 10.2991/jnmp.1999.6.4.1