Solitary Wave Solutions of Chafee-Infante Equation and (2+1)-Dimensional Breaking Soliton Equation by the Improved Kudryashov Method

Umme Habiba; Md. Abdus Salam; Md. Babul Hossain; Mousumi Datta

Solitary Wave Solutions of Chafee-Infante Equation and (2+1)-Dimensional Breaking Soliton Equation by the Improved Kudryashov Method

Umme Habiba * §

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Md. Abdus Salam §

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Md. Babul Hossain §

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Mousumi Datta §

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§ Mawlana Bhashani Science and Technology University

Solitary Wave Solutions of Chafee-Infante Equation and (2+1)-Dimensional Breaking Soliton Equation by the Improved Kudryashov Method

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Abstract

In this paper, we apply the improved Kudryashov method for finding exact solution and then solitary wave solutions of the Chafee-Infante equation and (2+1)-dimensional breaking soliton equation, where mathematical software Maple-13 is used as an important mathematical tool for removing calculation complexity, justification of the solutions and its graphical representations.

References

13 Cites in Article

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1. K Khan,Akbar Ma (2013). Application of exp (Φ(ξ))-expansion method to find the exact solutions of modified Benjamin-Bona-Mahony equation. World Appl. Sci. J, 24(10), 1373-1377.
2. Ahmet Bekir,Ahmet Boz (2008). Exact solutions for nonlinear evolution equations using Exp-function method. Physics Letters A, 372(10), 1619-1625.
3. A Soliman (2009). Exact solutions of KdV–Burgers’ equation by Exp-function method. Chaos, Solitons & Fractals, 41(2), 1034-1039.
4. Changbum Chun (2008). Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method. Physics Letters A, 372(16), 2760-2766.
5. Sheng Zhang,Tiecheng Xia (2008). An improved generalized F-expansion method and its application to the (2+1)-dimensional KdV equations. Communications in Nonlinear Science and Numerical Simulation, 13(7), 1294-1301.
6. M Kabir (2011). Modified Kudryashov method for generalized forms of the nonlinear heat conduction equation. International Journal of the Physical Sciences, 6(25), 6061-6064.
7. Yasser Zayedme (2015). The modified simple equation method for solving diffusive predator-prey system and Bogoyavlenskii equations. International journal of physical sciences, 10(4), 133-147.
8. Ajm Jawad,Petkovicmd,A Biswas (2010). Modified simple equation method for nonlinear evolution equations. App. Math. andCompu, 217(2), 869-877.
9. Akbar Ashrafuzzamanmk,Ma (2015). Exact and Solitary Wave Solutions to the Generalized Fifth-order KdV Equation by Using the Modified Simple Equation Method. Applied and Computational Mathematics, 4(3), 122.
10. M Abdou (2007). The extended tanh method and its applications for solving nonlinear physical models. Applied Mathematics and Computation, 190(1), 988-996.
11. N Kudryashov (2005). Simplest equation method to look for exact solutions of nonlinear differential equations. Chaos, Solitons and Fractals, 24, 1217-1231.
12. M Salammaobayedullah,Musa Miah,M (2016). Application of Improved Kudryashov Method to Solve Nonlinear Partial Differential Equations. Journal of Computer and Mathematical Sciences, 7(4), 175-180.
13. Rathinasamy Sakthivel,Changbum Chun (2010). New Soliton Solutions of Chaffee-Infante Equations Using the Exp-Function Method. Zeitschrift für Naturforschung A, 65(3), 197-202.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Umme Habiba, Md. Abdus Salam, Md. Babul Hossain, Mousumi Datta. 2019. "Solitary Wave Solutions of Chafee-Infante Equation and (2+1)-Dimensional Breaking Soliton Equation by the Improved Kudryashov Method". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F5).

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GJSFR Volume 19 Issue F5

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 35L05

Submission ReceivedOctober 26, 2019
Peer Review Double Blind
Handling Editor
Accepted November 25, 2019
Published December 8, 2019

Version of record

v1.2

Issue date

December 23, 2019

Language

English

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Article Matrices

Total Score: 104

Country: Bangladesh

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Umme Habiba, Md. Abdus Salam, Md. Babul Hossain, Mousumi Datta (PhD/Dr. count: 0)

View Count (all-time): 391

Total Views (Real + Logic): 831

Total Downloads (simulated): 63

Publish Date: 2019 12, Sun

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Total Views: 831

Total Downloads: 63

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