Volume 9, Issue Supplement 1, February 2002, Pages 192 - 206
A Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions
Received 10 June 2001, Accepted 8 October 2001, Available Online 1 February 2002.
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- 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 corrspond 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.
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Cite this article
TY - JOUR AU - Simon Ruijsenaars PY - 2002 DA - 2002/02/01 TI - A Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions JO - Journal of Nonlinear Mathematical Physics SP - 192 EP - 206 VL - 9 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.s1.16 DO - https://doi.org/10.2991/jnmp.2002.9.s1.16 ID - Ruijsenaars2002 ER -