An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma
In this work, we apply an efficient analytical algorithm namely homotopy perturbation Sumudu transform method (HPSTM) to find the exact and approximate solutions of linear and nonlinear time-fractional regularized long wave (RLW) equations. The RLW equations describe the nature of ion acoustic waves...
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2019-06-01
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| Series: | Journal of Ocean Engineering and Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013318301591 |
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doaj-dd2ba4193cfc42b6b95b4c0b6abd111c2020-11-24T21:34:38ZengElsevierJournal of Ocean Engineering and Science2468-01332019-06-01428599An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasmaAmit Goswami0Jagdev Singh1Devendra Kumar2Sumit Gupta3 Sushila4Department of Physics, Jagan Nath University, Jaipur 303901, Rajasthan, IndiaDepartment of Mathematics, JECRC University, Jaipur 303905, Rajasthan, IndiaDepartment of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India; Corresponding author.Department of Mathematics, Swami Keshvanand Institute of Technology, Management and Gramothan, Ramnagaria, Jaipur 302017, Rajasthan, IndiaDepartment of Physics, Vivekananda Global University, Jaipur 303012, Rajasthan, IndiaIn this work, we apply an efficient analytical algorithm namely homotopy perturbation Sumudu transform method (HPSTM) to find the exact and approximate solutions of linear and nonlinear time-fractional regularized long wave (RLW) equations. The RLW equations describe the nature of ion acoustic waves in plasma and shallow water waves in oceans. The derived results are very significant and imperative for explaining various physical phenomenons. The suggested method basically demonstrates how two efficient techniques, the Sumudu transform scheme and the homotopy perturbation technique can be integrated and applied to find exact and approximate solutions of linear and nonlinear time-fractional RLW equations. The nonlinear expressions can be simply managed by application of He's polynomials. The result shows that the HPSTM is very powerful, efficient, and simple and it eliminates the round-off errors. It has been observed that the proposed technique can be widely employed to examine other real world problems. Keywords: Sumudu transform scheme, Homotopy perturbation technique, RLW equations, Ion acoustic wave, Shallow water waves in oceanshttp://www.sciencedirect.com/science/article/pii/S2468013318301591 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Amit Goswami Jagdev Singh Devendra Kumar Sumit Gupta Sushila |
| spellingShingle |
Amit Goswami Jagdev Singh Devendra Kumar Sumit Gupta Sushila An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma Journal of Ocean Engineering and Science |
| author_facet |
Amit Goswami Jagdev Singh Devendra Kumar Sumit Gupta Sushila |
| author_sort |
Amit Goswami |
| title |
An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma |
| title_short |
An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma |
| title_full |
An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma |
| title_fullStr |
An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma |
| title_full_unstemmed |
An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma |
| title_sort |
efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma |
| publisher |
Elsevier |
| series |
Journal of Ocean Engineering and Science |
| issn |
2468-0133 |
| publishDate |
2019-06-01 |
| description |
In this work, we apply an efficient analytical algorithm namely homotopy perturbation Sumudu transform method (HPSTM) to find the exact and approximate solutions of linear and nonlinear time-fractional regularized long wave (RLW) equations. The RLW equations describe the nature of ion acoustic waves in plasma and shallow water waves in oceans. The derived results are very significant and imperative for explaining various physical phenomenons. The suggested method basically demonstrates how two efficient techniques, the Sumudu transform scheme and the homotopy perturbation technique can be integrated and applied to find exact and approximate solutions of linear and nonlinear time-fractional RLW equations. The nonlinear expressions can be simply managed by application of He's polynomials. The result shows that the HPSTM is very powerful, efficient, and simple and it eliminates the round-off errors. It has been observed that the proposed technique can be widely employed to examine other real world problems. Keywords: Sumudu transform scheme, Homotopy perturbation technique, RLW equations, Ion acoustic wave, Shallow water waves in oceans |
| url |
http://www.sciencedirect.com/science/article/pii/S2468013318301591 |
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