Soliton and rogue wave solutions of two-component nonlinear Schrödinger equation coupled to the Boussinesq equation

作者: Cai-Qin Song , Dong-Mei Xiao , Zuo-Nong Zhu

DOI: 10.1088/1674-1056/26/10/100204

关键词:

摘要: The nonlinear Schrodinger (NLS) equation and Boussinesq are two very important integrable equations. They have widely physical applications. In this paper, we investigate a system, which is the two-component NLS coupled to equation. We obtain bright–bright, bright–dark, dark–dark soliton solutions system. discuss collision between solitons. observe that of bright–bright inelastic solitons oscillating periodically can happen in parallel-traveling or bright–dark solution. general breather rogue wave also given. Our results show again there more abundant dynamical properties for multi-component systems.

参考文章(32)
Nail N. Akhmediev, Adrian Ankiewicz, Solitons : nonlinear pulses and beams Published in <b>1997</b> in London by Chapman and Hall. ,(1997)
VB Matveev, MA Salle, Darboux transformations and solitons ,(1992)
Guo-Fu Yu, Dong Lao, Complex and coupled complex negative order AKNS equation Communications in Nonlinear Science and Numerical Simulation. ,vol. 30, pp. 196- 206 ,(2016) , 10.1016/J.CNSNS.2015.06.023
Yuri S. Kivshar, Govind P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals ,(2003)
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
Liming Ling, Li-Chen Zhao, Boling Guo, Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations Communications in Nonlinear Science and Numerical Simulation. ,vol. 32, pp. 285- 304 ,(2016) , 10.1016/J.CNSNS.2015.08.023
Mark J. Ablowitz, David J. Kaup, Alan C. Newell, Harvey Segur, The Inverse scattering transform fourier analysis for nonlinear problems Studies in Applied Mathematics. ,vol. 53, pp. 249- 315 ,(1974) , 10.1002/SAPM1974534249
Garrett Dean, Taylor Klotz, Barbara Prinari, Federica Vitale, Dark–dark and dark–bright soliton interactions in the two-component defocusing nonlinear Schrödinger equation Applicable Analysis. ,vol. 92, pp. 379- 397 ,(2013) , 10.1080/00036811.2011.618126
Mark J. Ablowitz, Gino Biondini, Lev A. Ostrovsky, Optical solitons: Perspectives and applications. Chaos. ,vol. 10, pp. 471- 474 ,(2000) , 10.1063/1.1310721