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

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Umme Habiba
Umme Habiba
σ
Md. Abdus Salam
Md. Abdus Salam
ρ
Md. Babul Hossain
Md. Babul Hossain
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Mousumi Datta
Mousumi Datta
α Mawlana Bhashani Science and Technology University Mawlana Bhashani Science and Technology University

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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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  5. Sheng Zhang,Tiecheng Xia (2008). An improved generalized F-expansion method and its application to the (2+1)-dimensional KdV equations.
  6. M Kabir (2011). Modified Kudryashov method for generalized forms of the nonlinear heat conduction equation.
  7. Yasser Zayedme (2015). The modified simple equation method for solving diffusive predator-prey system and Bogoyavlenskii equations.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Umme Habiba. 2019. \u201cSolitary Wave Solutions of Chafee-Infante Equation and (2+1)-Dimensional Breaking Soliton Equation by the Improved Kudryashov Method\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F5): .

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Issue Cover
GJSFR Volume 19 Issue F5
Pg. 35- 41
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification
GJSFR-F Classification: MSC 2010: 35L05
Version of record

v1.2

Issue date

December 23, 2019

Language
en
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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.

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

Umme Habiba
Umme Habiba Mawlana Bhashani Science and Technology University
Md. Abdus Salam
Md. Abdus Salam
Md. Babul Hossain
Md. Babul Hossain
Mousumi Datta
Mousumi Datta

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