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Ling L, Zhao LC, Yang ZY, et al. Generation mechanisms of fundamental rogue wave spatial-temporal structure. Phys Rev E. 2017;96(2):022211doi: 10.1103/PhysRevE.96.022211.
Ling, L., Zhao, L. C., Yang, Z. Y., & Guo, B. (2017). Generation mechanisms of fundamental rogue wave spatial-temporal structure. Physical review. E, 96(2), 022211. https://doi.org/10.1103/PhysRevE.96.022211
Ling, Liming, et al. "Generation mechanisms of fundamental rogue wave spatial-temporal structure." Physical review. E vol. 96,2 (2017): 022211. doi: https://doi.org/10.1103/PhysRevE.96.022211
Ling L, Zhao LC, Yang ZY, Guo B. Generation mechanisms of fundamental rogue wave spatial-temporal structure. Phys Rev E. 2017 Aug;96(2):022211. doi: 10.1103/PhysRevE.96.022211. Epub 2017 Aug 22. PMID: 28950590.
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Phys Rev E. 2017 Aug;96(2):022211. doi: 10.1103/PhysRevE.96.022211. Epub 2017 Aug 22.

Generation mechanisms of fundamental rogue wave spatial-temporal structure.

Physical review. E

Liming Ling, Li-Chen Zhao, Zhan-Ying Yang, Boling Guo

Affiliations

  1. School of Mathematics, South China University of Technology, Guangzhou 510640, China.
  2. School of Physics, Northwest University, Xi'an 710069, China.
  3. Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710069, China.
  4. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China.

PMID: 28950590 DOI: 10.1103/PhysRevE.96.022211

Abstract

We discuss the generation mechanism of fundamental rogue wave structures in N-component coupled systems, based on analytical solutions of the nonlinear Schrödinger equation and modulational instability analysis. Our analysis discloses that the pattern of a fundamental rogue wave is determined by the evolution energy and growth rate of the resonant perturbation that is responsible for forming the rogue wave. This finding allows one to predict the rogue wave pattern without the need to solve the N-component coupled nonlinear Schrödinger equation. Furthermore, our results show that N-component coupled nonlinear Schrödinger systems may possess N different fundamental rogue wave patterns at most. These results can be extended to evaluate the type and number of fundamental rogue wave structure in other coupled nonlinear systems.

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