Nonlinear transmission dynamics of mutual transformation between array modes and hollow modes in elliptical sine-Gaussian cross-phase beams

Sun, Zhuo-Yue; Deng, Duo; Pang, Zhao-Guang; Yang, Zhen-Jun

doi:10.1016/j.chaos.2023.114398

Cited by 29 publications

(1 citation statement)

References 73 publications

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“…Soliton solutions represent a significant class of nonlinear processes. Recently, abundant soliton solutions have been derived for various NLSEs, exhibiting a wide range of transmission dynamics characteristics [28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Novel exact traveling wave solutions of Newton-Schrödinger system using Nucci reduction and Sardar sub-equation methods

Chahlaoui,

Butt,

Abbas

et al. 2024

Phys. Scr.

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The main theme of this piece of research is to tackle a coupled Newton-Schrödinger type model. Two analytical techniques namely, Nucci reduction method and Sardar sub-equation methods have been employed to scrutinize exact traveling wave solutions. Through the application of these approaches, various solitary and traveling wave solutions including bright, dark and periodic solitons, have been obtained. Further, we have not only discussed the physical depiction of specific solutions but have also visually presented them through 3D, 2D and density plots utilizing relevant parameter values. The extracted solutions show that the proposed methods are effective, simple, and successful in pinpointing the exact solution of models in engineering, optics, and other nonlinear disciplines.

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