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Variational Method for Studying Solitons in the KdV equation

F. Cooper·C. Lucheroni·H. Shepard·P. Sodano
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Abstract

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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F. Cooper, C. Lucheroni, H. Shepard, P. Sodano. 1992-10-09. Variational Method for Studying Solitons in the KdV equation. https://doi.org/10.1016/0375-9601(93)90083-c

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