Zhifeng Du, Lijun Song, Yan Wang. Breather Solutions and Their Rouge Wave Limits of NonlinearSchrödinger Equation[J]. Laser & Optoelectronics Progress, 2019, 56(5): 050601
- Laser & Optoelectronics Progress
- Vol. 56, Issue 5, 050601 (2019)
Fig. 1. One-breather solution of NLSE. (a) a1=-0.5, b1=0.8; (b) a1=0.5, b1=1
Fig. 2. Peregrine soliton solution. (a) x1=0, t1=0; (b) x1=3, t1=3
Fig. 3. Collision of double breather. (a) b1=0.8; (b) b1→1; (c) avoid the collision of double breather
Fig. 4. Collision and separation of breathers. (a) Double Akhmediev breather collision; (b) double Akhmediev breather separation; (c) collision between Akhmediev breather and Kuznetsov-Ma soliton
Fig. 5. Generation and separation of second-order rouge waves. (a) Second-order rouge waves; (b) two-dimensional diagram; (c) separation
Fig. 6. Double breather collision. (a) κ1∶κ2=2κ∶κ; (b) κ1∶κ2=3κ∶2κ; (c) κ1∶κ2=4κ∶3κ
Fig. 7. Two breathers parallel superimposed with l1=-1.1705+1.4i and l2=-0.5+0.4i. (a) x1=0, x2=0; (b) partial enlargement; (c) x1=-2, x2=2
Fig. 8. Collisions of third-order breathers. (a) Double collision; (b) triple collision; (c) degeneration
Fig. 9. Generation and separation of third-order rouge waves. (a) Third-order rouge waves; (b) contours; (c) separation
Fig. 10. Third-order breather collision. (a) κ1∶κ2∶κ3=2∶3∶5 and κ1=0.8; (b) κ1∶κ2∶κ3=2∶3∶5 and κ1=0.6; (c) κ1∶κ2∶κ3=3∶2∶1 and κ1=1.8
Fig. 11. Third-order breather parallel transmission. (a) x1=0, x2=0, x3=0; (b) partial enlargement; (c) x1=-4, x2=0, x3=4
Fig. 12. Fourth-order breather interaction. (a) Double collision; (b) fourfold collision
Fig. 13. Degenerate breather. (a) Superposition of Akhmediev breather and Kuznetsov-Ma soliton degenerate state; (b) degenerate Akhmediev breather
Fig. 14. Generation of fourth-order rouge wave. (a) Fourth-order rouge waves; (b) two-dimensional diagram; (c) contour map
Fig. 15. Separation of fourth-order rouge wave. (a) Once separation; (b) twice separation
Fig. 16. Contour map of fourth-order breather interaction. (a) κ1∶κ2∶κ3∶κ4=1∶3∶5∶7; (b) κ1∶κ2∶κ3∶κ4=2∶4∶6∶8
Fig. 17. Third-order breather parallel transmission. (a) x1=0, x2=0, x3=0, x4=0; (b) partial enlargement; (c) x1=-6, x2=-2, x3=2, x4=6
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