Variational Method for Studying Solitons in the KdV equation

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.

8 pages

References in corpus (1)

• Post-Gaussian Varioational Method for the Nonlinear Schrodinger Equation

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