Nonlinear ion acoustic rogue waves in a superthermal electron–positron–ion plasma

Lin, Mai-mai; Yu, Teng-Xuan; Wen, H S; Song, Qiu-Ying; Du, Hong-E

doi:10.1007/s12648-020-01947-5

Cited by 1 publication

(1 citation statement)

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“…The perturbed nonlinear Schrödinger equation (NLSE) is the most commonly used nonlinear model in the field of nonlinear science and has a wide range of applications. Because of its extraordinary physically meaningful properties, the NLSE describes a wide variety of phenomena, such as nonlinear optics [1], Bose-Einstein condensation [2,3], plasma ion acoustic wave [4,5], optical communication [6,7], fluid dynamics [8,9] etc. Perturbed nonlinear Schrödinger equation [10][11][12][13][14][15]: iq aq b q q i q q q q q 0, 1.1…”

Section: Introductionmentioning

confidence: 99%

Bifurcation of traveling wave solutions of the perturbed nonlinear Schrödinger equation

Cheng

Song

2023

Phys. Scr.

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In this paper, the traveling wave solutions of perturbed nonlinear Schr$\ddot{o}$dinger equation in nanofibers are studied by using the bifurcation theory of dynamic systems. The phase portrait and orbit analysis of perturbed nonlinear Schr$\ddot{o}$dinger equation are given in the form of graph, and the traveling wave solutions corresponding to perturbed nonlinear Schr$\ddot{o}$dinger equation under different conditions are derived and analyzed. Moreover, periodic wave solutions and periodic singular wave solutions are obtained by using Jacobian elliptic function on the basis of predecessors. And it was found that the limit of periodic wave solutions is solitary wave solutions. The limit of periodic singular wave solutions is singular wave solutions. These results provide convenience for scholars to study the physical value of this equation and allow for a deeper understanding of nonlinear phenomena and their physical essence in nanofibers.

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