The Hamiltonian viewpoint of fluid mechanical systems with few and infinite number of
degrees of freedom is described. Rudimentary concepts of finite-degree-of-freedom …

This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

This book is intended to present joint research with my colleagues Josep-Maria Peris, Jean-
Pierre Ramis and Carles Simó. It is strongly based on our original papers but some effort …

This invaluable book examines qualitative and quantitative methods for nonlinear differential
equations, as well as integrability and nonintegrability theory. Starting from the idea of a …

In the cosmological scenario in f (T) gravity, we find analytical solutions for an isotropic and
homogeneous universe containing a dust fluid and radiation and for an empty anisotropic …

We present discrete forms of the Painlevé transcendental equations P III, P IV, and PV that
complement the list of the already known PI and P II. These, most likely integrable …

We study solitary wave solutions of the higher order nonlinear Schrödinger equation for the
propagation of short light pulses in an optical fiber. Using a scaling transformation we …

Starting from a known Lax pair, one can get some infinitely many coupled Lax pairs, infinitely
many nonlocal symmetries and infinitely many new integrable models in some different …

The WTC method is applied to a variety of nonintegrable nonlinear evolution equations and
shown to provide a systematic procedure for obtaining special solutions. Some of the special …