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Time renormalisation numerical method for the K.d.V. equation

✍ Scribed by Nguyen van Tuan; Pierre Bertrand; Marc R. Feix

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
534 KB
Volume
33
Category
Article
ISSN
0010-4655

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✦ Synopsis

Group transformations applied to the K.d.V. equation for a class of initial conditions, can provide a "quasi-invariant" new equation where the time is now renormalised (corresponding to an asymptotic self-similar solution). The fact that the new dispersion term is now time dependent leads to an evolution of the "new soliton". Computer calculations of the asymptotic state are presented.

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