Variational Method for Studying Solitons in the KdV equation

Variational Method for Studying Solitons in the KdV equation

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...

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Hauptverfasser: Cooper, F, Lucheroni, C, Shepard, H, Sodano, P
Format: Artikel
Sprache:eng
Schlagworte:
Physics - High Energy Physics - Phenomenology
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Zusammenfassung: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.
DOI:10.48550/arxiv.hep-ph/9210226