# Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1

Share this page *Edited by *
*Basil Nicolaenko; Darryl D Holm; James M Hyman*

These two volumes of 47 papers focus on the increased interplay of
theoretical advances in nonlinear hyperbolic systems,
completely integrable systems, and evolutionary systems of nonlinear
partial differential equations. The papers both survey recent results
and indicate future research trends in these vital and rapidly
developing branches of PDEs. The editor has grouped the papers
loosely into the following five sections: integrable systems,
hyperbolic systems, variational problems, evolutionary systems, and
dispersive systems. However, the variety of the subjects discussed as
well as their many interwoven trends demonstrate that it is through
interactive advances that such rapid progress has occurred.

These papers require a good background in partial
differential equations. Many of the contributors are
mathematical physicists, and the papers are addressed to mathematical
physicists (particularly in perturbed integrable systems), as well as to
PDE specialists and applied mathematicians in general.