Handbook of Nonlinear Partial Differential Equations
Andrei D. Polyanin, Valentin F. Zaitsev
It is a very rare occasion when a nonlinear partial differential equation admits an exact solution. Such cases are of the utmost importance as they enable the full and most detailed analysis of the problem concerned. This reference book contains the most extended list of nonlinear PDEs known to be solvable to date and gives not only their exact solutions but also solution methods.
It is a really good book.
