The exact solutions for the fractional reaction-diffusion equations

Registration ID: IJNRD_218354

Published ID: IJNRD2404414

DOI: http://doi.one/10.1729/Journal.38971

Dr. Amrita Singh

Reaction-Diffusion Equation; Exact Solutions; Conformal Derivative; Sine-Gordon Expansion Method (SGEM).

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.

Published Paper   E-Certificate

Dr. Amrita Singh (April-2024). The exact solutions for the fractional reaction-diffusion equations . INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT, 9(4), e106-e116. http://doi.one/10.1729/Journal.38971

Volume 9 Issue 4, April-2024

Pages : e106-e116

Paper Reg. ID: IJNRD_218354

Published Paper Id: IJNRD2404414

Downloads: 000121980

Research Area: Engineering

Country: Patna , BIHAR , India

Published Paper PDF: https://ijnrd.org/papers/IJNRD2404414.pdf

Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2404414

Crossref DOI: http://doi.one/10.1729/Journal.38971

Journal Name: INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT(IJNRD)

ISSN: 2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar | ESTD YEAR: 2016

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