Discusses recent developments in differential equations, integral transforms, singular integral equations, dynamical system, Lie algebra, calculus of variation, optimization, computational methods for free-surface ship hydrodynamic problems, solitons and inverse scattering, graph theory and symmetries in partial differential equations. Each technique is presented in a somewhat concise manner and is applied to solve appropriate problems drawn from relevant areas of applied mathematics and theoretical physics.

This volume will serve as source material for researchers in applied mathematics, theoretical physics and engineering.