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

Physics and Mathematics of Nonlinear Phenomena 2013

Lee, Jyh-Hao^1 ; Pashaev, Oktay K.^2

Institute of Mathematics, Academia Sinica, Taipei, 10617, Taiwan^1

Department of Mathematics, Izmir Institute of Technology, Urla-Izmir, 35430, Turkey^2

关键词: Broer Kaup equation;    Broer-Kaup system;    Hydrodynamic equations;    Infinite system;    Integrable systems;    Quantum potentials;    Soliton interactions;    Soliton solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012026/pdf
DOI  :  10.1088/1742-6596/482/1/012026

来源: IOP

【 摘 要 】

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.