Higher-order localized waves in coupled nonlinear schrödinger equations

Xin Wang; Bo Yang; Yong Chen; Yun Qing Yang

doi:10.1088/0256-307X/31/9/090201

Higher-order localized waves in coupled nonlinear schrödinger equations

Xin Wang
, Bo Yang
, Yong Chen^*
, Yun Qing Yang

^*Corresponding author for this work

School of Mathematical Sciences

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

34 Scopus citations

Abstract

Higher-order localized waves in coupled nonlinear Schrödinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamental or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.

Original language	English
Article number	090201
Journal	Chinese Physics Letters
Volume	31
Issue number	9
DOIs	https://doi.org/10.1088/0256-307X/31/9/090201
State	Published - 1 Sep 2014

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title = "Higher-order localized waves in coupled nonlinear schr{\"o}dinger equations",

abstract = "Higher-order localized waves in coupled nonlinear Schr{\"o}dinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamental or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.",

author = "Xin Wang and Bo Yang and Yong Chen and Yang, \{Yun Qing\}",

note = "Publisher Copyright: {\textcopyright} 2014 Chinese Physical Society and IOP Publishing Ltd.",

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T1 - Higher-order localized waves in coupled nonlinear schrödinger equations

AU - Wang, Xin

AU - Yang, Bo

AU - Chen, Yong

AU - Yang, Yun Qing

PY - 2014/9/1

Y1 - 2014/9/1

N2 - Higher-order localized waves in coupled nonlinear Schrödinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamental or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.

AB - Higher-order localized waves in coupled nonlinear Schrödinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamental or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.

UR - https://www.scopus.com/pages/publications/84907224371

U2 - 10.1088/0256-307X/31/9/090201

DO - 10.1088/0256-307X/31/9/090201

M3 - 文章

AN - SCOPUS:84907224371

SN - 0256-307X

VL - 31

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 9

M1 - 090201

ER -

Higher-order localized waves in coupled nonlinear schrödinger equations

Abstract

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