TY - JOUR
T1 - General high-order rogue waves of the (1+1)-dimensional yajima-oikawa system
AU - Chen, Junchao
AU - Chen, Yong
AU - Feng, Bao Feng
AU - Maruno, Ken Ichi
AU - Ohta, Yasuhiro
N1 - Funding Information:
JC's work was supported from the National Natural Science Foundation of China (NSFC) (No. 11705077). YC's work was supported from the Global Change Research Program of China (No. 2015CB953904), NSFC (Nos. 11675054 and 11435005) and Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things (No. ZF1213). BF's work was partially supported by National Science Foundation (DMS-1715991) and NSFC for Overseas Scholar Collaboration Research (No. 11728103). KM's work was supported by JSPS Grant-in-Aid for Scientific Research (C-15K04909) and JST CREST. YO's work was partially supported by JSPS Grant-in-Aid for Scientific Research (B-24340029, S-24224001, C-15K04909) and for Challenging Exploratory Research (26610029).
Funding Information:
Acknowledgments JC’s work was supported from the National Natural Science Foundation of China (NSFC) (No. 11705077). YC’s work was supported from the Global Change Research Program of China (No. 2015CB953904), NSFC (Nos. 11675054 and 11435005) and Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things (No. ZF1213). BF’s work was partially supported by National Science Foundation (DMS-1715991) and NSFC for Overseas Scholar Collaboration Research (No. 11728103). KM’s work was supported by JSPS Grant-in-Aid for Scientific Research (C-15K04909) and JST CREST. YO’s work was partially supported by JSPS Grant-in-Aid for Scientific Research (B-24340029, S-24224001, C-15K04909) and for Challenging Exploratory Research (26610029).
Publisher Copyright:
© 2018 The Physical Society of Japan.
PY - 2018
Y1 - 2018
N2 - General high-order rogue wave solutions for the (1+1)-dimensional Yajima-Oikawa (YO) system are derived by using the Hirota's bilinear method and the KP hierarchy reduction method. These rogue wave solutions are presented in terms of determinants in which the elements are algebraic expressions. The dynamics of first-order and higher-order rogue wave are investigated in details for different values of the free parameters. It is shown that the fundamental (first-order) rogue waves can be classified into three different patterns: bright, intermediate and dark ones. The higher-order rogue waves correspond to the superposition of fundamental rogue waves. Especially, compared with the nonlinear Schrödinger equation, there exists an essential parameter α to control the pattern of rogue wave for both first-order and higher-order rogue waves since the YO system does not possess the Galilean invariance.
AB - General high-order rogue wave solutions for the (1+1)-dimensional Yajima-Oikawa (YO) system are derived by using the Hirota's bilinear method and the KP hierarchy reduction method. These rogue wave solutions are presented in terms of determinants in which the elements are algebraic expressions. The dynamics of first-order and higher-order rogue wave are investigated in details for different values of the free parameters. It is shown that the fundamental (first-order) rogue waves can be classified into three different patterns: bright, intermediate and dark ones. The higher-order rogue waves correspond to the superposition of fundamental rogue waves. Especially, compared with the nonlinear Schrödinger equation, there exists an essential parameter α to control the pattern of rogue wave for both first-order and higher-order rogue waves since the YO system does not possess the Galilean invariance.
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U2 - 10.7566/JPSJ.87.094007
DO - 10.7566/JPSJ.87.094007
M3 - Article
AN - SCOPUS:85053669785
SN - 0031-9015
VL - 87
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 9
M1 - 094007
ER -