A Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions
نویسنده
چکیده
Using our previous work on reflectionless analytic difference operators and a nonlocal Toda equation, we introduce analytic versions of the Volterra and Kac-van Moerbeke lattice equations. The real-valued N -soliton solutions to our nonlocal equations correspond to self-adjoint reflectionless analytic difference operators with N bound states. A suitable scaling limit gives rise to the N -soliton solutions of the Korteweg-de Vries equation.
منابع مشابه
On the Toda and Kac-van Moerbeke Hierarchies
We provide a comprehensive treatment of the single and double commutation method as a tool for constructing soliton solutions of the Toda and Kac-van Moerbeke hierarchy on arbitrary background. In addition, we present a novel construction based on the single commutation method. As an illustration we compute the N -soliton solution of the Toda and Kac-van Moerbeke hierarchy.
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