Nondegenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra

被引:37
作者
Che, Wen-Juan [1 ]
Chen, Shao-Chun [1 ]
Liu, Chong [1 ,2 ,3 ,4 ]
Zhao, Li-Chen [1 ,3 ,4 ]
Akhmediev, Nail [2 ]
机构
[1] Northwest Univ, Sch Phys, Xian 710127, Peoples R China
[2] Australian Natl Univ, Res Sch Phys, Opt Sci Grp, Dept Fundamental & Theoret Phys, Canberra, ACT 2600, Australia
[3] Shaanxi Key Lab Theoret Phys Frontiers, Xian 710127, Peoples R China
[4] NSFC SPTP Peng Huanwu Ctr Fundamental Theory, Xian 710127, Peoples R China
关键词
MODULATIONAL INSTABILITY; ROGUE WAVES; BREATHERS; DYNAMICS;
D O I
10.1103/PhysRevA.105.043526
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector nonlinear Schr??dinger (Manakov) equations. An exact multiparameter family of solutions for such KMSs is derived. This family of solutions includes the known results as well as the previously unknown solutions in the form of nondegenerate KMSs. We present the existence diagram of such KMSs that follows from the exact solutions. These nondegenerate KMSs are formed by nonlinear superposition of two fundamental KMSs that have the same propagation period but different eigenvalues. We present the amplitude profiles of solutions, their exact physical spectra, and their link to ordinary vector solitons and offer easy ways for their excitation using numerical simulations.
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页数:14
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