Solitary Wave Interactions In Dispersive Equations Using Manton's Approach

Details Solitary Wave Interactions In Dispersive Equations Using Manton's Approach Solitary Wave Interactions In Dispersive Equations Using Manton's Approach

2004-10-21

arxiv.org/abs/nlin/0410045v1

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, 4 figures, slightly modified version to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.70.057603

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{\"o}dinger equation and kinks as well as breathers of the sine-Gordon equation.

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