High-order rogue wave solutions in coupled Hirota equations
作者： Yong Chen , Xin Wang
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摘要: In this paper, we construct the generalized Darboux transformation to coupled Hirota equations. A unified formula of Nth-order rogue wave solution for equations is obtained by direct iterative rule. As application, waves from first third order are illustrated through some figures. The results further reveal and enrich dynamical properties
arxiv.org参考文章(33)
VB Matveev, MA Salle, Darboux transformations and solitons ,(1992)
Zixiang Zhou, Hesheng Hu, Chaohao Gu, Darboux Transformations in Integrable Systems: Theory and their Applications to Geometry ,(2004)
Fabio Baronio, Antonio Degasperis, Matteo Conforti, Stefan Wabnitz, Solutions of the Vector Nonlinear Schrödinger Equations: Evidence for Deterministic Rogue Waves Physical Review Letters. ,vol. 109, pp. 044102- ,(2012) , 10.1103/PHYSREVLETT.109.044102
Yu.V. Bludov, V.V. Konotop, N. Akhmediev, Vector rogue waves in binary mixtures of Bose-Einstein condensates European Physical Journal-special Topics. ,vol. 185, pp. 169- 180 ,(2010) , 10.1140/EPJST/E2010-01247-6
Bao-Guo Zhai, Wei-Guo Zhang, Xiao-Li Wang, Hai-Qiang Zhang, Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations Nonlinear Analysis-real World Applications. ,vol. 14, pp. 14- 27 ,(2013) , 10.1016/J.NONRWA.2012.04.010
Zhaqilao, Nth-order rogue wave solutions of the complex modified Korteweg–de Vries equation Physica Scripta. ,vol. 87, pp. 065401- ,(2013) , 10.1088/0031-8949/87/06/065401
Yishen Li, Jin E. Zhang, Darboux transformations of classical Boussinesq system and its multi-soliton solutions Physics Letters A. ,vol. 284, pp. 253- 258 ,(2001) , 10.1016/S0375-9601(01)00331-0
A.V. Porubov, H. Tsuji, I.V. Lavrenov, M. Oikawa, Formation of the rogue wave due to non-linear two-dimensional waves interaction Wave Motion. ,vol. 42, pp. 202- 210 ,(2005) , 10.1016/J.WAVEMOTI.2005.02.001
S.G. Bindu, A. Mahalingam, K. Porsezian, Dark soliton solutions of the coupled Hirota equation in nonlinear fiber Physics Letters A. ,vol. 286, pp. 321- 331 ,(2001) , 10.1016/S0375-9601(01)00371-1
A. Chabchoub, N. P. Hoffmann, N. Akhmediev, Rogue wave observation in a water wave tank. Physical Review Letters. ,vol. 106, pp. 204502- 204502 ,(2011) , 10.1103/PHYSREVLETT.106.204502