Integrability of a discrete Yajima-Oikawa system

15 Sep 2018 Tsuchida Takayuki

A space discretization of an integrable long wave-short wave interaction model, called the Yajima-Oikawa system, was proposed in the recent paper arXiv:1509.06996 using the Hirota bilinear method (see also https://link.aps.org/doi/10.1103/PhysRevE.91.062902). In this paper, we propose a Lax-pair representation for the discrete Yajima-Oikawa system as well as its multicomponent generalization also considered in arXiv:1509.06996 and prove that it has an infinite number of conservation laws... (read more)

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  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS