English

Introduction to the method of multiple scales

Analysis of PDEs 2016-04-08 v3

Abstract

Earlier versions of these lecture notes have been used at the Cork Summerschool on Theory and Mathematics Modelling of Ultrashort Pulse Propagation (2013), and as a part of a graduate course in the theory of nonlinear waves in the period 2014-2016. This version has an improved typography and numerous typoes has been corrected. It also has been extended with a section where the method of multiple scales is applied to boundary layer problems for ODEs. The document consists of 78 pages and contains 9 figures.

Keywords

Cite

@article{arxiv.1312.3651,
  title  = {Introduction to the method of multiple scales},
  author = {Per Jakobsen},
  journal= {arXiv preprint arXiv:1312.3651},
  year   = {2016}
}
R2 v1 2026-06-22T02:26:39.092Z