THERMAL SCIENCE

International Scientific Journal

Saima Arshed

,

Seyed Mehdi Mirhosseini-Alizamini

,

Dumitru Baleanu

,

Hadi Rezazadeh

,

Mustafa Inc

,

Majid Hussain

SOLITON SOLUTIONS FOR NON-LINEAR KUDRYASHOV'S EQUATION VIA THREE INTEGRATING SCHEMES

ABSTRACT
This paper considers the non-linear Kudryashov's equation, that is an extension of the well-known dual-power law of refractive index and is analog to the generalized version of anti-cubic non-linearity. The model is considered in the presence of full non-linearity. The main objective of this paper is to extract soliton solutions of the proposed model. Three state-of-the-art integration schemes, namely modified auxiliary equation method, the sine-Gordon expansion method and the tanhcoth expansion method have been employed for obtaining the desired soliton solutions.
KEYWORDS
soliton solution, Kudryashov's equation, analytical methods
PAPER SUBMITTED: 2021-01-25
PAPER REVISED: 2021-02-25
PAPER ACCEPTED: 2021-02-27
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2157A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [157 - 163]
REFERENCES
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  3. Li, J., et al., Study on the Solitary Wave Solutions of the Ionic Currents on Microtubules Equation by Using the Modified Khater Method, Thermal Science, 23 (2019), Suppl. 6, pp. S2053-S2062
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  5. Rezazadeh, H., et al., A Large Family of Optical Solutions to Kundu-Eckhaus Model by a New Auxiliary Equation Method, Opt. Quantum Electron, 51 (2019), 3, 1-12
  6. Savaissou, N., et al., Exact Optical Solitons to the Perturbed Non-linear Schrödinger Equation with Dualpower Law of Non-linearity, Opt. Quantum Electron, 52 (2020), 318
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Soliton solutions for non-linear Kudryashov's equation via three integrating schemes

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence