Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-08-17
Phys.Lett.A366:540-544,2007
Physics
High Energy Physics
High Energy Physics - Theory
8 pages including 4 eps figures
Scientific paper
10.1016/j.physleta.2007.02.070
We study the non-linear Schroedinger equation in (1+1) dimensions in which the nonlinear term is taken in the form of a nonlocal interaction of the Coulomb or Yukawa-type. We solve the equation numerically and find that, for all values of the nonlocal coupling constant, and in all cases, the equation possesses solitonic solutions. We show that our results, for the dependence of the height of the soliton on the coupling constant, are in good agreement with the predictions based on an analytic treatment in which the soliton is approximated by a gaussian.
Hartmann Betti
Zakrzewski Wojtek J.
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