Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method
The deal of this paper is to use the differential-difference Jacobi elliptic functions sub-equation method for constructing exact solutions of nonlinear electrical circuit including intrinsic fractional-order in the sense of Riemann–Liouville derivatives. According to the algorithm of a unified symb...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-01-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721010640 |
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| author | Emmanuel Fendzi-Donfack Dipankar Kumar Eric Tala-Tebue Laurent Nana Jean Pierre Nguenang Aurélien Kenfack-Jiotsa |
| author_facet | Emmanuel Fendzi-Donfack Dipankar Kumar Eric Tala-Tebue Laurent Nana Jean Pierre Nguenang Aurélien Kenfack-Jiotsa |
| author_sort | Emmanuel Fendzi-Donfack |
| collection | DOAJ |
| description | The deal of this paper is to use the differential-difference Jacobi elliptic functions sub-equation method for constructing exact solutions of nonlinear electrical circuit including intrinsic fractional-order in the sense of Riemann–Liouville derivatives. According to the algorithm of a unified symbolic computation, we attain several solitons solutions as solitary waves train, singular kink-type soliton, doubly periodic solitons, grey and anti-grey soliton-like. These findings are emerged and constructed by means of the three Jacobi elliptic functions. These types of functions provide hyperbolic, trigonometric, exotic and doubly periodic fractional exact solutions which have not yet been reported in the studied model. For this studied model, The new solutions obtained are exotic soliton-like that have not been observed yet. And they provide new propagative’s modes through the cn, dn, snJacobi elliptic functions for the fractional nonlinear electrical pass band circuit. Therefore, further investigations on differential-difference Jacobi elliptic functions sub-equation method should help researchers to discover more soliton solutions for other nonlinear discrete systems. |
| first_indexed | 2024-12-13T23:27:12Z |
| format | Article |
| id | doaj.art-b062fd1febd245e6b640a1fd39c52320 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-13T23:27:12Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-b062fd1febd245e6b640a1fd39c523202022-12-21T23:27:31ZengElsevierResults in Physics2211-37972022-01-0132105086Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation methodEmmanuel Fendzi-Donfack0Dipankar Kumar1Eric Tala-Tebue2Laurent Nana3Jean Pierre Nguenang4Aurélien Kenfack-Jiotsa5Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teacher’s Training College, University of Yaoundé I, P.O. Box 47, Yaoundé, Cameroon; Pure Physics Laboratory, Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Sciences, University of Douala, P.O. Box 24157, Douala, Cameroon; Corresponding author at: Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teacher’s Training College, University of Yaoundé I, P.O. Box 47, Yaoundé, Cameroon.Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, P.O. Box 8100, BangladeshLaboratoire d’Automatique et Informatique Apliquée (LAIA), Department of Telecommunication and Network Engineering, Fotso Victor University Institute of Technology, P.O. Box 134, Bandjoun, CameroonPure Physics Laboratory, Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Sciences, University of Douala, P.O. Box 24157, Douala, CameroonPure Physics Laboratory, Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Sciences, University of Douala, P.O. Box 24157, Douala, CameroonNonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teacher’s Training College, University of Yaoundé I, P.O. Box 47, Yaoundé, CameroonThe deal of this paper is to use the differential-difference Jacobi elliptic functions sub-equation method for constructing exact solutions of nonlinear electrical circuit including intrinsic fractional-order in the sense of Riemann–Liouville derivatives. According to the algorithm of a unified symbolic computation, we attain several solitons solutions as solitary waves train, singular kink-type soliton, doubly periodic solitons, grey and anti-grey soliton-like. These findings are emerged and constructed by means of the three Jacobi elliptic functions. These types of functions provide hyperbolic, trigonometric, exotic and doubly periodic fractional exact solutions which have not yet been reported in the studied model. For this studied model, The new solutions obtained are exotic soliton-like that have not been observed yet. And they provide new propagative’s modes through the cn, dn, snJacobi elliptic functions for the fractional nonlinear electrical pass band circuit. Therefore, further investigations on differential-difference Jacobi elliptic functions sub-equation method should help researchers to discover more soliton solutions for other nonlinear discrete systems.http://www.sciencedirect.com/science/article/pii/S2211379721010640Exotical solitonDoubly periodic solutionsNonlinear electrical circuitDifferential-difference sub-equationJacobi elliptic methodIntrinsic fractional order |
| spellingShingle | Emmanuel Fendzi-Donfack Dipankar Kumar Eric Tala-Tebue Laurent Nana Jean Pierre Nguenang Aurélien Kenfack-Jiotsa Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method Results in Physics Exotical soliton Doubly periodic solutions Nonlinear electrical circuit Differential-difference sub-equation Jacobi elliptic method Intrinsic fractional order |
| title | Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method |
| title_full | Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method |
| title_fullStr | Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method |
| title_full_unstemmed | Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method |
| title_short | Construction of exotical soliton-like for a fractional nonlinear electrical circuit equation using differential-difference Jacobi elliptic functions sub-equation method |
| title_sort | construction of exotical soliton like for a fractional nonlinear electrical circuit equation using differential difference jacobi elliptic functions sub equation method |
| topic | Exotical soliton Doubly periodic solutions Nonlinear electrical circuit Differential-difference sub-equation Jacobi elliptic method Intrinsic fractional order |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721010640 |
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