An integrable semi-discretization of the coupled Yajima-Oikawa system

Junchao Chen; Yong Chen; Bao Feng Feng; Ken Ichi Maruno; Yasuhiro Ohta

doi:10.1088/1751-8113/49/16/165201

An integrable semi-discretization of the coupled Yajima-Oikawa system

Junchao Chen
, Yong Chen
, Bao Feng Feng
, Ken Ichi Maruno
, Yasuhiro Ohta

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Article number	165201
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	49
Issue number	16
DOIs	https://doi.org/10.1088/1751-8113/49/16/165201
State	Published - 8 Mar 2016

Keywords

BKP hierarchy reductions
bright and dark soliton
coupled Yajima-Oikawa system
integrable semi-discretization

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10.1088/1751-8113/49/16/165201

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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 B{\"a}cklund transformations of the semi-discrete BKP hierarchy, both the bright and dark soliton solutions in terms of pfaffians are constructed.",

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AU - Chen, Junchao

AU - Chen, Yong

AU - Feng, Bao Feng

AU - Maruno, Ken Ichi

AU - Ohta, Yasuhiro

PY - 2016/3/8

Y1 - 2016/3/8

N2 - 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.

AB - 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.

KW - BKP hierarchy reductions

KW - bright and dark soliton

KW - coupled Yajima-Oikawa system

KW - integrable semi-discretization

UR - https://www.scopus.com/pages/publications/84961627336

U2 - 10.1088/1751-8113/49/16/165201

DO - 10.1088/1751-8113/49/16/165201

M3 - 文章

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SN - 1751-8113

VL - 49

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 16

M1 - 165201

ER -

An integrable semi-discretization of the coupled Yajima-Oikawa system

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Keywords

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