Deep-water internal solitary waves near critical density ratio

  title={Deep-water internal solitary waves near critical density ratio},
  author={D. Agafontsev and F. Dias and E. Kuznetsov},
  journal={Physica D: Nonlinear Phenomena},
  • D. Agafontsev, F. Dias, E. Kuznetsov
  • Published 2005
  • Physics, Mathematics
  • Physica D: Nonlinear Phenomena
  • We study both supercritical and subcritical bifurcations of internal solitary waves propagating along the interface between two ideal fluids. We derive a generalized nonlinear Schrodinger equation that describes solitons near the critical density ratio corresponding to the transition from a subcritical to a supercritical bifurcation. This equation takes into account gradient terms associated with the four-wave interactions, the so-called Lifshitz term and a nonlocal term analogous to that first… CONTINUE READING
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