Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1998-03-18
Nonlinear Sciences
Pattern Formation and Solitons
4 pages, 2 figures, revtex with epsf
Scientific paper
10.1103/PhysRevE.58.7924
We show that in a large class of equations, solitons formed from generic initial conditions do not have infinitely long exponential tails, but are truncated by a region of Gaussian decay. This phenomenon makes it possible to treat solitons as localized, individual objects. For the case of the KdV equation, we show how the Gaussian decay emerges in the inverse scattering formalism.
Kessler David A.
Schiff Jeremy
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