Fractional kinetic equations of the diffusion, diffusion–advection, and Fokker–Planck type
are presented as a useful approach for the description of transport dynamics in complex …

Similitude theory allows engineers, through a set of tools known as similitude methods, to
establish the necessary conditions to design a scaled (up or down) model of a full-scale …

The purpose of this study is to investigate the deeper characteristics of the system of shallow
water wave equations that is used to model the turbulence in the atmosphere and oceans …

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 …

Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity.
Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of …

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 …

In the present article, Lie group of point transformations method is successfully applied to
study the invariance properties of the (2+ 1)(2+ 1)-dimensional Pavlov equation. Applying …