Assorted optical solitons of the (1+1)- and (2+1)-dimensional Chiral nonlinear Schrödinger equations using modified extended tanh-function technique.

Jiaming Luo, Jalil Manafian, Baharak Eslami, K H Mahmoud, Rohit Sharma, Neha Kumari, A Sa Alsubaie

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Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

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Conservation law, Chupin Liu's theorem and propagation of pulses in optical metamaterials modeled by NLSE with power law nonlinearity.Scientific reports · 2025
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Jiaming LuoSchool of Mathematics and Statistics and Research Center of Modern Mathematics and its Application, Kashgar University, Kashi, 844000, Xinjiang, China.

Jalil ManafianDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. j_manafianheris@tabrizu.ac.ir.

Baharak EslamiDepartment of Physics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran.

K H MahmoudDepartment of Physics, College of Khurma University College, Taif University, 21944, Taif, Saudi Arabia.

Rohit SharmaSchool of Engineering and Technology, Shobhit University, Gangoh, Uttar Pradesh, 247341, India.

Neha KumariDepartment of Physics, School of Sciences, Jain (Deemed-to-be) University, Bengaluru, Karnataka, 560069, India.

A Sa AlsubaieDepartment of Physics, College of Khurma University College, Taif University, 21944, Taif, Saudi Arabia.

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6 · The paper itself

Abstract

In this research article, the (1+1)- and (2+1)-dimensional Chiral nonlinear Schrödinger equations (CNLSEs) are studied, which play an important role in the development of quantum mechanics, particularly in the field of quantum Hall effect. Our primary goal is to obtain the analytical solutions utilizing novel methodology, particularly the modified extended tanh-function technique. We concentrate on the search to solitary wave solutions inside the (1+1)- and (2+1)-dimensional CNLSEs, which are relevant in domains such as optics, electro-magnetic wave propagation, plasma physics, optics and quantum mechanics. Our objective is to increase knowledge of this equation and give insight into the behavior of solitary waves by employing a novel mathematical technique. This will be accomplished by displaying our findings in 2D and 3D graphics. We believe that our results would pave a way for future research generating optical memories based on the nonlinear solitons.

Indexed as

Analytical solutionsChiral nonlinear Schrödinger equationsModified extended tanh-function methodQuantum Hall effectSoliton solution

Identifiers

PMID39461951

DOI10.1038/s41598-024-74050-y

PMCPMC11514046

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