Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
arXiv:nlin/0410045 · doi:10.1103/PhysRevE.70.057603
Abstract
We generalize the approach first proposed by Manton [Nuc. Phys. B {\bf 150}, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations that support such localized solutions. The approach is illustrated using as examples solitons in the Korteweg-de Vries equation, standing waves in the nonlinear Schr{ö}dinger equation and kinks as well as breathers of the sine-Gordon equation.
5 pages, 4 figures, slightly modified version to appear in Phys. Rev. E