Assorted optical solitons of the (1+1)- and (2+1)-dimensional Chiral nonlinear Schrödinger equations using modified extended tanh-function technique
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 utili...
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| Published in | Scientific reports Vol. 14; no. 1; pp. 25530 - 23 |
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| Main Authors | , , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
London
Nature Publishing Group UK
26.10.2024
Nature Publishing Group Nature Portfolio |
| Subjects | |
| Online Access | Get full text |
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| 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. |
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| AbstractList | 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. 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.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. 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. |
| ArticleNumber | 25530 |
| Author | Mahmoud, K. H. Sharma, Rohit Alsubaie, A. SA Luo, Jiaming Kumari, Neha Manafian, Jalil Eslami, Baharak |
| Author_xml | – sequence: 1 givenname: Jiaming surname: Luo fullname: Luo, Jiaming organization: School of Mathematics and Statistics and Research Center of Modern Mathematics and its Application, Kashgar University – sequence: 2 givenname: Jalil surname: Manafian fullname: Manafian, Jalil email: j_manafianheris@tabrizu.ac.ir organization: Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Natural Sciences Faculty, Lankaran State University – sequence: 3 givenname: Baharak surname: Eslami fullname: Eslami, Baharak organization: Department of Physics, Payame Noor University – sequence: 4 givenname: K. H. surname: Mahmoud fullname: Mahmoud, K. H. organization: Department of Physics, College of Khurma University College, Taif University – sequence: 5 givenname: Rohit surname: Sharma fullname: Sharma, Rohit organization: School of Engineering and Technology, Shobhit University, B Department of Mechanical Engineering, Arka Jain University – sequence: 6 givenname: Neha surname: Kumari fullname: Kumari, Neha organization: Department of Physics, School of Sciences, Jain (Deemed-to-be) University, Department of Sciences, Vivekananda Global University – sequence: 7 givenname: A. SA surname: Alsubaie fullname: Alsubaie, A. SA organization: Department of Physics, College of Khurma University College, Taif University |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/39461951$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1016_j_padiff_2024_100985 crossref_primary_10_1007_s11071_024_10829_y crossref_primary_10_1016_j_padiff_2025_101136 |
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| Keywords | Soliton solution Quantum Hall effect Modified extended tanh-function method Chiral nonlinear Schrödinger equations Analytical solutions |
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| SubjectTerms | 639/624 639/705 639/766 Analytical solutions Applied mathematics Chiral nonlinear Schrödinger equations Electromagnetic radiation Electromagnetism Engineering Humanities and Social Sciences Investigations Mathematics Modified extended tanh-function method multidisciplinary Neural networks Optics Partial differential equations Plasma Propagation Quantum Hall effect Quantum physics Science Science (multidisciplinary) Solitary waves Soliton solution Wave propagation |
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| Title | Assorted optical solitons of the (1+1)- and (2+1)-dimensional Chiral nonlinear Schrödinger equations using modified extended tanh-function technique |
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