An integrable semi-discretization of the coupled Yajima–Oikawa system. (8th March 2016)

• Record Type: Journal Article
• Authors: Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
• Is Part Of: Journal of physics. Volume 49:Number 16(2016)
• Publication Date: 2016-03-08
• Subjects: integrable semi-discretization -- coupled Yajima–Oikawa system -- BKP hierarchy reductions -- bright and dark soliton; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/49/16/165201
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: An integrable semi-discrete analogue of the one-dimensional coupled Yajima–Oikawa system, which is comprised of multicomponent short waves and one component long wave, is proposed by using a bilinear technique. Based on the reductions of the Bäcklund transformations of the semi-discrete BKP hierarchy, both the bright and dark soliton solutions in terms of pfaffians are constructed.