Introduction to the Method of Multiple Scales
by Per Jakobsen
Publisher: arXiv 2014
Number of pages: 65
These lecture notes give an introduction to perturbation method with main focus on the method of multiple scales as it applies to pulse propagation in nonlinear optics. The lecture notes are aimed at students that have little or no background in perturbation methods.
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A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions which are given on a hypersurface in the domain. Cauchy problems are an extension of initial value problems.
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