{"title":"Novel and reliable soliton solutions for nematicon liquid crystal models with various nonlinearities by the application of analytical method","authors":"A. Mumtaz, M. Shakeel, A. Manan, Nehad Ali Shah","doi":"10.1007/s12648-025-03603-2","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, the Kerr and Parabolic Law features of the equation characterizing nematic liquid crystals are taken into account in order to create trigonometric, hyperbolic and rational type travelling wave solutions utilizing the (<i>G</i>′/<i>G</i><sup>2</sup>)-expansion method. The travelling wave solutions that are obtained from the equation play a crucial role in the energy transfer within the liquid crystal soliton molecules. Additionally, the solitary wave behaviors seen in the generated travelling wave solutions for various constant values are examined. Kink type soliton, singular kink soliton, singular soliton, periodic soliton, singular periodic soliton, double soliton, dark-bright W-type soliton and compacton are obtained as the travelling wave solutions of the equation defining nematic liquid crystals incorporating Kerr and Parabolic Law property.</p></div>","PeriodicalId":584,"journal":{"name":"Indian Journal of Physics","volume":"99 11","pages":"4291 - 4309"},"PeriodicalIF":1.7000,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s12648-025-03603-2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, the Kerr and Parabolic Law features of the equation characterizing nematic liquid crystals are taken into account in order to create trigonometric, hyperbolic and rational type travelling wave solutions utilizing the (G′/G2)-expansion method. The travelling wave solutions that are obtained from the equation play a crucial role in the energy transfer within the liquid crystal soliton molecules. Additionally, the solitary wave behaviors seen in the generated travelling wave solutions for various constant values are examined. Kink type soliton, singular kink soliton, singular soliton, periodic soliton, singular periodic soliton, double soliton, dark-bright W-type soliton and compacton are obtained as the travelling wave solutions of the equation defining nematic liquid crystals incorporating Kerr and Parabolic Law property.
期刊介绍：
Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.
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