Variational Method for Studying Solitons in the KdV equation
High Energy Physics - Phenomenology
2009-10-22 v1
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.
Cite
@article{arxiv.hep-ph/9210226,
title = {Variational Method for Studying Solitons in the KdV equation},
author = {F. Cooper and C. Lucheroni and H. Shepard and P. Sodano},
journal= {arXiv preprint arXiv:hep-ph/9210226},
year = {2009}
}
Comments
8 pages