Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
Abstract
We generalize the approach first proposed by Manton [Nuc. Phys. B 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\"odinger equation and kinks as well as breathers of the sine-Gordon equation.
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