On N -Wave and NLS Type Systems: Generating Operators and the Gauge Group Action: the so(5) Case

نویسندگان

  • Vladimir S. GERDJIKOV
  • Georgi G. GRAHOVSKI
چکیده

We first review some recent developments [2] of the N -wave equations and their gauge equivalent ones related to the so(5) algebra. These include the form of the equations and the relevant recursion operators, the properties of the scattering data etc. Next we generalize these results to the multicomponent nonlinear Schrödinger equations and their gauge equivalent ones known as the Heisenberg ferromagnet type equations. The explicit form of the so(5) HF equations and the relevant recursion operators are derived.

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تاریخ انتشار 2004