Rogue waves and modulation instability in an extended Manakov system
- PDF / 1,186,000 Bytes
- 12 Pages / 547.087 x 737.008 pts Page_size
- 99 Downloads / 198 Views
ORIGINAL PAPER
Rogue waves and modulation instability in an extended Manakov system Yanlin Ye · Jia Liu · Lili Bu · Changchang Pan · Shihua Chen Dumitru Mihalache
·
Received: 19 September 2020 / Accepted: 13 October 2020 © Springer Nature B.V. 2020
Abstract We obtain the general nth-order rogue wave solutions of the vector cubic-quintic nonlinear Schrödinger equation with self-steepening, alias extended Manakov system, by means of a nonrecursive Darboux transformation scheme. We show that in such a two-component system, owing to the presence of the self-steepening effect, there would emerge an anomalous Peregrine soliton state on one wave component whose peak can grow three times higher than its background level, at the expense of a heavy falling-off on the other wave component. We also demonstrate other interesting rogue wave dynamics such as coexisting, doublet, quartet, and sextet rogue waves, which depend on the choice of structural parameters. In addition, the modulation instability responsible for the formation of rogue waves is discussed, revealing the broad-range existence of rogue waves, irrespective of what dispersion situations considered.
Y. Ye · L. Bu · C. Pan · S. Chen (B) School of Physics and Quantum Information Research Center, Southeast University, Nanjing 211189, China e-mail: [email protected] J. Liu China National Accreditation Service for Conformity Assessment (CNAS), Beijing 100062, China D. Mihalache (B) Department of Theoretical Physics, Horia Hulubei National Institute for Physics and Nuclear Engineering, 077125 Magurele-Bucharest, Romania e-mail: [email protected]
Keywords Rogue wave · Peregrine soliton · Modulation instability · Manakov system
1 Introduction Oceanic rogue waves, also known as freak waves or monster waves, are giant surface waves that seem to appear out of nowhere in an otherwise calm sea [1]. They have been a threat to cruising ships or tankers for centuries, but were not well identified until January 1, 1995 when a single rogue event called “new year wave” was scientifically confirmed on the Draupner offshore platform in the North Sea [2], in the light of the definition that a rogue wave refers to one whose height is more than twice the significant wave height [3,4]. Considering the devastating power of oceanic rogue waves and, more importantly, the fundamental scientific interest in such rogue events, scientists turn to recreate a rogue wave phenomenon in other nonlinear systems that possess a smaller scale and a safer observational condition, but share the same or similar nonlinear wave equation models [5,6]. Now the rogue wave investigation has been extended to many disciplines such as hydrodynamics[7,8], nonlinear optics [9,10], plasma physics [11], acoustics [12], Bose–Einstein condensation [13–15], and even finance [16]. Despite extensive studies, the fundamental origin of the rogue waves is still in debate. There are now many linear and nonlinear underlying physical processes that can drive the appearance of rogue waves,
123
Y. Ye et al.
among wh
Data Loading...
