2011/02/28 by Colin Rogers, C. Rogers, Oktay Pashaev +1 · 1 citation
Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Nonlinear Photonic Systems
paper · doi:10.1111/j.1467-9590.2010.00514.x
It is established that the Whitham–Broer–Kaup shallow water system and the “resonant” nonlinear Schrödinger equation are equivalent. A symmetric integrable 2+1‐dimensional version of the Whitham–Broer–Kaup system is constructed which, in turn, is equivalent to a recently introduced resonant Davey–Stewartson I system incorporating a Madelung–Bohm type quantum potential. A bilinear representation is adopted and resonant solitonic interaction in this new 2+1‐dimensional Kaup–Broer system is exhibited.