The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems,
is an exceptional and complete reference for scientists and engineers as it contains over …

Exact solutions of differential equations continue to play an important role in the
understanding of many phenomena and processes throughout the natural sciences in that …

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …

Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

Some new similarity reductions of the Boussinesq equation, which arises in several physical
applications including shallow water waves and also is of considerable mathematical …

Описаны точные аналитические методы решения нелинейных уравнений
математической физики. Наряду с классическими методами представлены также …

Overall, our object has been to provide an applications-oriented text that is reasonably self-
contained. It has been used as the basis for a graduate-level course both at the University of …

In the last two decades the number of papers on free boundary problems has increased
dramatically. This fact was motivated by the more and more frequent occurrence of such …

In this paper the author presents some new similarity solutions of the modified Boussinesq
equation, which is a completely integrable soliton equation. These new similarity solutions …

In classical dynamics the second law of motion is used both as a definition of the force and
also as the equation for predicting the position and the momentum of the particle as a …