Analytical solutions for water pollution problems using quasi-conformal mappings

摘要

In this work a straightforward procedure to find exact solutions and point symmetries admitted by nonlinear partial differential equations is presented. This method avoids the explicit computation of the infinitesimals via determining equations, which in some cases are often more difficult to solve than the target equation itself. A preliminary result is obtained by solving the Burgers equation without using the Cole–Hopf transformation.