Bilinear form of the regularized long wave equation and its multi-soliton solutions
We consider utmost significant model, namely, the regularized long-wave equation involving dispersion and weedy nonlinearity effects that arises in the nonlinear dynamics of phonon packets in crystals, shallow water, plasma and ion acoustic waves. The Hirota direct approach has been used to deform t...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000833 |
| _version_ | 1811293765504073728 |
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| author | Mohammad Mobarak Hossain Harun-Or-Roshid Md. Abu Naim Sheikh |
| author_facet | Mohammad Mobarak Hossain Harun-Or-Roshid Md. Abu Naim Sheikh |
| author_sort | Mohammad Mobarak Hossain |
| collection | DOAJ |
| description | We consider utmost significant model, namely, the regularized long-wave equation involving dispersion and weedy nonlinearity effects that arises in the nonlinear dynamics of phonon packets in crystals, shallow water, plasma and ion acoustic waves. The Hirota direct approach has been used to deform the model into its bilinear representation. We derive one, two and three solitons solutions from the bilinear form. Moreover, a general formula of N-solitons solution is given of the model. Graphical representations of the achieved solutions are given and found elastic interaction situation of the solitons. |
| first_indexed | 2024-04-13T05:06:14Z |
| format | Article |
| id | doaj.art-578220e7f7064e8cb1725231c97a5978 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-13T05:06:14Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-578220e7f7064e8cb1725231c97a59782022-12-22T03:01:10ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-12-016100422Bilinear form of the regularized long wave equation and its multi-soliton solutionsMohammad Mobarak Hossain0 Harun-Or-Roshid1Md. Abu Naim Sheikh2Department of Mathematics, Hamdard University Bangladesh, Bangladesh; Dhaka University of Engineering & Technology (DUET), Gazipur, Bangladesh; Correspondence to: Department of Mathematics, Hamdard University Bangladesh, Hamdard City of Science, Education &Culture, Gazaria, Munshiganj 1510, Bangladesh.Department of Mathematics, Pabna University of Science and Technology, BangladeshDhaka University of Engineering & Technology (DUET), Gazipur, BangladeshWe consider utmost significant model, namely, the regularized long-wave equation involving dispersion and weedy nonlinearity effects that arises in the nonlinear dynamics of phonon packets in crystals, shallow water, plasma and ion acoustic waves. The Hirota direct approach has been used to deform the model into its bilinear representation. We derive one, two and three solitons solutions from the bilinear form. Moreover, a general formula of N-solitons solution is given of the model. Graphical representations of the achieved solutions are given and found elastic interaction situation of the solitons.http://www.sciencedirect.com/science/article/pii/S2666818122000833Traveling waveLong wave equationBilinear formSolitonsHirota bilinear form |
| spellingShingle | Mohammad Mobarak Hossain Harun-Or-Roshid Md. Abu Naim Sheikh Bilinear form of the regularized long wave equation and its multi-soliton solutions Partial Differential Equations in Applied Mathematics Traveling wave Long wave equation Bilinear form Solitons Hirota bilinear form |
| title | Bilinear form of the regularized long wave equation and its multi-soliton solutions |
| title_full | Bilinear form of the regularized long wave equation and its multi-soliton solutions |
| title_fullStr | Bilinear form of the regularized long wave equation and its multi-soliton solutions |
| title_full_unstemmed | Bilinear form of the regularized long wave equation and its multi-soliton solutions |
| title_short | Bilinear form of the regularized long wave equation and its multi-soliton solutions |
| title_sort | bilinear form of the regularized long wave equation and its multi soliton solutions |
| topic | Traveling wave Long wave equation Bilinear form Solitons Hirota bilinear form |
| url | http://www.sciencedirect.com/science/article/pii/S2666818122000833 |
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