Preface.- Acknowledgments.- Nonlinear PDEs are Everywhere.- Compatibility.- Differential Substitutions.- Point and Contact Transformations.- First Integrals.- Functional Separability.- Solutions.- Author's Biography.

Daniel J. Arrigo earned his Ph.D. from the Georgia Institute of Technology in 1991. He has been on staff in the Department of Mathematics at the University of Central Arkansas since 1999 and is currently a professor of mathematics. He has published over 30 journal articles and one book. His research interests include the construction of exact solutions of PDEs; symmetry analysis of nonlinear PDEs; and solutions to physically important equations, such as nonlinear heat equations and governing equations modeling of granular materials and nonlinear elasticity. In 2008, Dr. Arrigo received the Oklahoma-Arkansas Section of the Mathematical Association of Americas Award for Distinguished Teaching of College or University Mathematics.