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Title

Breaking and Self-Focusing Properties of Korteweg de Vries Solitons
Authors

R. Beech
F. Osman
Conference

2004 International Mathematica Symposium
Conference location

Banff, Canada
Description

This paper examines solitonic solutions to the Korteweg de Vries equation numerically as the coefficient of the dispersion term varies, displaying the spatial and temporal evolution of the solutionas it progresses to the point where it breaks and beyond. The results produced here form a useful insight into how light waves break when subjected to certain constraints, such as in the confined environment of an optical fibre, or in lasers.
Subjects

*Mathematics > Calculus and Analysis > Differential Equations
*Science > Physics > Electromagnetism
*Science > Physics > Optics
Keywords

Korteweg de Vries, soliton, light waves, dispersion term
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*New Ideas in Symbolic Computation: Proceedings of the 6th International Mathematica Symposium   [in Books]