Solitary wave interactions in dispersive equations using Manton's approach.

نویسندگان

  • P G Kevrekidis
  • Avinash Khare
  • A Saxena
چکیده

We generalize the approach first proposed by Manton [Nucl. 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 Schrödinger equation, and kinks as well as breathers of the sine-Gordon equation.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 70 5 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2004