Multiple-peak and multiple-ring solitons in the nonlinear Schrödinger equation with inhomogeneous self-defocusing nonlinearity

Zeng, Liangwei; Zhu, Xing; Belić, Milivoj R.; Mihalache, Dumitru; Shi, Jincheng; Chen, Junbo

doi:10.1007/s11071-022-08110-1

Cited by 8 publications

(1 citation statement)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…NLSE has many important applied areas in various fields of mathematics, engineering, and physics. So, higher-order and multi-component structures of NLSE have a prominent role in different applications, especially, in nonlinear optics [3][4][5][6][7][8][9]. Furthermore, analytical and numerical schemes enlarging incessantly in the literature have crucial in examining soliton solutions of diverse NLSEs.…”

Section: Introductionmentioning

confidence: 99%

Optical solitons for the Biswas-Milovic equation with anti-cubic law nonlinearity in the presence of spatio-temporal dispersion

Özdemir

2023

Phys. Scr.

View full text Add to dashboard Cite

For the first time, the optical soliton solutions of the $(1+1)$-dimensional Biswas-Milovic equation with anti-cubic law nonlinearity in the presence of spatio-temporal dispersion are intended to be analyzed in detail. To attain this purpose, the new Kudryashov and the Kudryashov auxiliary equation technique are successfully implemented. Moreover, the impacts of model parameters on the soliton dynamics are scrutinized. The complex wave transformation is utilized to get the nonlinear ordinary differential equation form and to generate soliton solutions, the presented methods are performed. Finally, various graphical illustrations were derived and detailed comments were added on the solution results. The new Kudryashov approach and the Kudryashov auxiliary equation technique have been successfully performed and soliton solutions obtained. W-shape soliton was acquired with the new Kudryashov approach and the bright soliton was acquired with the Kudryashov auxiliary equation technique. Furthermore, diverse graphic descriptions that the resulting soliton solutions are obtained, and 2D graphs are presented and commented on. Since the Biswas-Milovic equation, which is the subject of much research, has an important role in nonlinear optics, different forms of the Biswas-Milovic equation are developed in the literature. The model in the presence of spatio-temporal dispersion was presented and scrutinized for the first time.

show abstract