Published January 1, 2014 | Version v1
Conference paper Open

Resonant dispersive Benney and Broer-Kaup systems in 2+1 dimensions

  • 1. Acad Sinica, Inst Math, Taipei 10617, Taiwan
  • 2. Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

Description

We represent the Benney system of dispersionless hydrodynamic equations as NLS type infinite system of equations with quantum potential. We show that negative dispersive deformation of this system is an integrable system including vector generalization of Resonant NLS and 2+1 dimensional nonlocal Resonant NLS. We obtain bilinear form and soliton solutions in these systems and find the resonant character of soliton interaction. Equivalent vector Broer-Kaup system and non-local 2+1 dimensional nonlocal Broer-Kaup equation are constructed.

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