149 citations · 671 across the 20 of their papers we have counts for
9 papers · 1 filter
Exact analytic spectra of rogue waves for Manakov equations
Shao-Chun Chen, Chong Liu, Nail Akhmediev
The spectra of rogue waves of Manakov equations that exist in both focusing or defocusing regimes are derived in analytic form. These spectra are asymmetric during their whole expa…
Fundamental and second-order super-regular breathers in vector fields
Chong Liu, Shao-Chun Chen, Nail Akhmediev
We developed an exact theory of the super-regular (SR) breathers of Manakov equations. We have shown that the vector SR breathers do exist both in the cases of focusing and defocus…
Higher-order modulation instability and multi-Akhmediev breathers of Manakov equations: Frequency jumps over the stable gaps between the instability bands
Shao-Chun Chen, Chong Liu, Nail Akhmediev
We study higher-order modulation instability phenomena in the frame of Manakov equations. Evolution that starts with a single pair of sidebands expands over several higher harmonic…
Fundamental and second-order dark soliton solutions of 2- and 3-component Manakov equations in the defocusing regime
Wen-Juan Che, Chong Liu, Nail Akhmediev
We present exact multi-parameter families of soliton solutions for two- and three-component Manakov equations in the \emph{defocusing} regime. Existence diagrams for such solutions…
Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
Wen-Juan Che, Shao-Chun Chen, Chong Liu +2
We study the dynamics of Kuznetsov-Ma solitons (KMS) in the framework of vector nonlinear Schrödinger (Manakov) equations. Exact multi-parameter family of solutions for such KMSs i…
Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
Chong Liu, Shao-Chun Chen, Xiankun Yao +1
We reveal a new class of \textit{non-degenerate} Akhmediev breather (AB) solutions of Manakov equations that only exist in the focusing case. Based on exact solutions, we present t…