Post-Gaussian Varioational Method for the Nonlinear Schrodinger Equation
Gaussians to study soliton behavior and blowup in the nonlinear Schrodinger equation in arbitrary dimension d and with arbitrary nonlinearity parameter kappa
hep-ph↗
arXiv subjects
H. Shepard
Publications and source records attributed to H. Shepard.
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 soliton solutions including their time dependence using this method.
hep-ph↗