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INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT International Peer Reviewed & Refereed Journals, Open Access Journal ISSN Approved Journal No: 2456-4184 | Impact factor: 8.76 | ESTD Year: 2016 Scholarly open access journals, Peer-reviewed, and Refereed Journals, Impact factor 8.76 (Calculate by google scholar and Semantic Scholar | AI-Powered Research Tool) , Multidisciplinary, Monthly, Indexing in all major database & Metadata, Citation Generator, Digital Object Identifier(DOI) |
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| Paper Title: | The exact solutions for the fractional reaction-diffusion equations |
| Authors Name: | Dr. Amrita Singh |
| Download E-Certificate: | Download |
| Author Reg. ID: |
IJNRD_218354
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| Published Paper Id: | IJNRD2404414 |
| Published In: | Volume 9 Issue 4, April-2024 |
| DOI: | http://doi.one/10.1729/Journal.38971 |
| Abstract: | The prime objective of this paper is to obtain some new families of exact solitary wave solutions of the nonlinear partial differential equations (NPDEs) via computerised symbolic computation on Wolfram Mathematica. By applying the sine-Gordon expansion method, numerous exact soliton solutions are constructed for the NPDEs, which provide a model of the interaction between the Langmuir wave and the ion-acoustic wave in high-frequency plasma. Consequently, the exact solitary wave solutions are obtained in different forms of dynamical wave structures of solitons including multi-solitons, lump-type solitons, travelling waves, kink waves, also trigonometric and hyperbolic function solutions, and rational function solutions. Moreover, the dynamical behaviour of the resulting multiple soliton solutions is discussed both analytically and graphically by using suitable values of free parameters through numerical simulation. The reported results have rich physical structures that are helpful to explain the nonlinear wave phenomena in plasma physics and soliton theory. |
| Keywords: | Reaction-Diffusion Equation; Exact Solutions; Conformal Derivative; Sine-Gordon Expansion Method (SGEM). |
| Cite Article: | "The exact solutions for the fractional reaction-diffusion equations ", International Journal of Novel Research and Development (www.ijnrd.org), ISSN:2456-4184, Vol.9, Issue 4, page no.e106-e116, April-2024, Available :http://www.ijnrd.org/papers/IJNRD2404414.pdf |
| Downloads: | 00027 |
| ISSN: |
2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.76 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID:IJNRD2404414 Registration ID: 218354 Published In: Volume 9 Issue 4, April-2024 DOI (Digital Object Identifier): http://doi.one/10.1729/Journal.38971 Page No: e106-e116 Country: Patna , BIHAR , India Research Area: Engineering Publisher : IJ Publication Published Paper URL : https://www.ijnrd.org/viewpaperforall?paper=IJNRD2404414 Published Paper PDF: https://www.ijnrd.org/papers/IJNRD2404414 |
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