Their topics include compact traveling waves and peakon solutions, traveling wave solutions of special type to third-order nonlinear partial differential equations, a method of the characteristics applied to the Hunter-Saxton equation, integrable multicomponent generalizations of Camassa-Holm equation, and a microlocal approach in studying the propagation of non-linear waves.

The equation (14) together with condition (15) to (17) represents nonlinear partial differential equation describing counter current imbibition phenomenon under magnetic field effect.

Huxley equation is a nonlinear partial differential equation of second order of the form [u.

Simulation models are typically based on Richards' equation, a nonlinear partial differential equation, which can be solved using numerical solution methods.

This micromagnetic model consists of a set of nonlinear partial differential equations often referred to as Brown's equations.

Lions, 37, specializes in nonlinear partial differential equations.

With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems.

9781420087239 Handbook of nonlinear partial differential equations, 2d ed.