 
Summary: ITB KNAW UTwente
Lectures on Free Surface Waves
Brenny van Groesen,
Applied Analysis & Mathematical Physics,
University of Twente
Lecture Notes for course
LABMATH: Mathematical support for Hydrodynamic Laboratories
August September 2001
Course at Pusat Matematika, P4M, Institut Teknologi Bandung, Indonesia,
in binational Scientific Cooperation IndonesiaNetherlands,
KNAW  project 95BTM29
PREFACE, Acknowledgment
Surface waves are phenomena that are characterised by the dynamic interplay
between linear interference and nonlinear interactions between individual waves. For
understanding these natural phenomena and for many technological applications, such as in
hydrodynamic laboratories, a good understanding and description are important.
Mathematical modelling of the penomena is a challenge that was started by scientific
giants like Huygens and Newton, and in the 19th century by Scott Russell, Boussinesq,
Korteweg & de Vries. In the 20th century, dynamical system theory and improved methods
from mathematical physics made it possible to incorporate nonlinear effects to a better
