Observation of hole Peregrine soliton in a multicomponent plasma with critical density of negative ions

Abstract

[1] The evolution of hole Peregrine soliton (appearing as a deep trough between two crests) from ion-acoustic perturbations excited in a multicomponent plasma with critical density of negative ions has been observed. The observed soliton is described by the rational solution of the cubic nonlinear Schrödinger equation, which can appear as an isolated high peak or a deep hole depending on the phase of the underlying carrier wave relative to the envelope. The measured amplitude of the hole Peregrine soliton (depth from crest to trough) is found to be more than twice the background wave height. The experimental observations are compared with the theoretical results obtained from the solution of the cubic nonlinear Schrödinger equation. The frequency spectrum of the Peregrine soliton is analyzed and found to be triangular in shape.Citation: Sharma, S. K., and H. Bailung (2013), Observation of hole Peregrine soliton in a multicomponent plasma with critical density of negative ions,

The nonlinear Schrödinger equation and the propagation of weakly nonlinear waves in optical fibers and on the water surface

“…The observations of the same doubly-localized breathers in optical fibers [14,15] as well as in deep-water [16,17] emphasize the necessity of discussing analogies in the interaction between dispersion and nonlinearity in the description of modulationally unstable wave packets [18] for nonlinear dispersive media, satisfying the focusing regime condition. Interestingly, the experimental investigations of breather dynamics in optical fibers have motivated a new experimental field of research in water waves [19,20] as well as in plasma [21]. In fact, the modulation instability (MI) [22], also referred to as the Benjamin-Feir instability [23], is a fundamental mechanism that describes and quantifies the formation of extreme wave events in a one-dimensional wave field propagation.…”

Rogue waves in multi‐pair plasma medium

“…The nonlinear Schrödinger equation (NLSE) admits interesting rational solutions named rogue waves (RWs), also known as freak waves, extreme waves, and killer waves, in the MI region. Sharma and Bailung [35] have also experimentally found peregrine soliton in a multi-component plasma with a critical density of negative ions. Researchers have devoted their attention to solve the mystery of these colossal waves because of their intrinsically arbitrary nature and their complex formation mechanisms.…”

“…The field of MI and RWs has been considered one of the highly interdisciplinary areas of research involving plasma physics, [12] oceanography, [28] Bose-Einstein condensation, [29] optics, [30] superfluid helium, [31] and even finance [32] A number of authors have theoretically studied different criteria of MI and RWs in many PIPM [3,12,33] and confirmed them in laboratory experiments. [34][35][36] Bailung et al [34] have observed peregrine solitons in a multi-component plasma with negative ions. Sharma and Bailung [35] have also experimentally found peregrine soliton in a multi-component plasma with a critical density of negative ions.…”

“…[34][35][36] Bailung et al [34] have observed peregrine solitons in a multi-component plasma with negative ions. Sharma and Bailung [35] have also experimentally found peregrine soliton in a multi-component plasma with a critical density of negative ions. Bains et al [25] studied the MI of IAWs with a q-distributed electrons and found that the stable domain for IAWs increases with q within the sub-extensive limit.…”

Modulation instability and dissipative rogue waves in ion-beam plasma: Roles of ionization, recombination, and electron attachment

“…The features of rogue waves have been theoretically investigated in many plasma systems [31][32][33][34][35][36][37][38] and confirmed in experiments. 39,40 The aim of this paper is to investigate the propagation of rogue waves in an ion-beam plasma containing negative ions, positive ions, and superthermal electrons with a kappa-type distribution. We take into account dissipative mechanisms, including ionization, negative-positive ion recombination, and electron attachment, in the plasma model.…”