Mathematics And Statistics - Research Publications

Permanent URI for this collectionhttps://kr.cup.edu.in/handle/32116/47

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Author: search.filters.author.Biswas, AnjanSubject: search.filters.subject.Lie symmetry analysis

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    Highly dispersive W�shaped and other optical solitons with quadratic�cubic nonlinearity: Symmetry analysis and new Kudryashov's method
    (Elsevier Ltd, 2023-06-24T00:00:00) Yadav, Ravindra; Malik, Sandeep; Kumar, Sachin; Sharma, Rajesh; Biswas, Anjan; Y?ld?r?m, Yakup; Gonz�lez-Gaxiola, O.; Moraru, Luminita; Alghamdi, Abdulah A.
    Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic�cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of the governing partial differential equation to an ordinary differential equation, which is then integrated using an enhanced Kudryashov's approach to obtain solitons with the model. The analysis presented in this paper does not explicitly discuss the formation and dynamics of soliton radiation. � 2023
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    Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov�s approach
    (Springer Science and Business Media B.V., 2021-06-24T00:00:00) Malik, Sandeep; Kumar, Sachin; Biswas, Anjan; Ekici, Mehmet; Dakova, Anelia; Alzahrani, Abdullah Khamis; Belic, Milivoj R.
    A combination of Lie symmetry analysis and Kudryashov�s approach secures optical soliton solutions with fiber Bragg gratings. The bifurcation analysis is carried out, and the phase portrait is presented. � 2021, The Author(s), under exclusive licence to Springer Nature B.V.
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    Solitons and other solutions to Wu–Zhang system
    (Vilnius University, 2017) Mirzazadeha, Mohammad; Ekicib, Mehmet; Eslamic, Mostafa; Krishnand, Edamana Vasudevan; Kumar, Sachin; Biswas, Anjan
    This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is also applied to derive symmetries of the Wu–Zhang system, and the derived ordinary differential equations are further analyzed to retrieve exact solutions are obtained. Finally, implementation of mapping method secures additional exact solutions.