Variational Method for Studying Solitons in the KdV equation

Details Variational Method for Studying Solitons in the KdV equation Variational Method for Studying Solitons in the KdV equation

1992-10-09

arxiv.org/abs/hep-ph/9210226v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages

Scientific paper

10.1016/0375-9601(93)90083-C

We use a class of trial wave functions which are generalizations of gaussians
to study single soliton approximate analytic solutions to the KdV equations.
The variational parameters obey a Hamiltonian dynamics obtained from the
Principle of Least Action. We get extremely accurate approximate single soliton
solutions including their time dependence using this method.

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