Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method

Md. Shafiqul Islam

Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method

Md. Shafiqul Islam * §

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Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method

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Abstract

In this present article, we apply the generalized Kudryashov method for constructing ample new exact traveling wave solutions of the (2+1)-dimensional Breaking soliton (BS) equation, (2+1)-dimensional Burgers equation and (2+1)-dimensional Boussinesq equation. We attain successfully numerous new exact traveling wave solutions. This method is candid and concise, and it can be also applied to other nonlinear evolution equations in mathematical physics and engineering sciences. Moreover, some of the newly attained exact solutions are demonstrated graphically.

References

13 Cites in Article

Reference Format

Md. Alam,Md. Akbar,Syed Mohyud-Din (2014). A novel (G′/G)-expansion method and its application to the Boussinesq equation.
S Islam,Kamruzzaman Khan,M Akbar (2015). Study of exp(-Φ(ξ))-expansion Method for Solving Nonlinear Partial Differential Equations.
M Islam,K Khan,M Akbar,A Arnous (2015). Generalized Kudryashov method for solving some (3+1)-dimensional nonlinear evolution equations.
M Akbar,N Ali (2011). Exp-function method for Duffing Equation and new solutions of (2+1) dimensional dispersive long wave equations.
K Khan,M Akbar (2013). Application of exp )) ( ( ξ Φ --expansion method to find the exact solutions of modified Benjamin-Bona-Mahony equation.
Kamruzzaman Khan,M Akbar (2013). Exact and solitary wave solutions for the Tzitzeica–Dodd–Bullough and the modified KdV–Zakharov–Kuznetsov equations using the modified simple equation method.
M Islam,K Khan,M Akbar,A Mastroberardino (2014). A note on improved -F expansion method combined with Riccati equation applied to nonlinear evolution equations.
Md. Islam,Kamruzzaman Khan,M Akbar (2016). Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations.
Md. Islam,Kamruzzaman Khan,M Akbar (2016). Exact travelling wave solutions of the (3 + 1)- dimensional potential Yu-Toda-Sasa-Fukuyama equation through the improved F-expansion method with Riccati equation.
Md. Islam,M Akbar,Kamruzzaman Khan (2017). The improved F-expansion method and its application to the MEE circular rod equation and the ZKBBM equation.
Seyma Demiray,Yusuf Pandir,Hasan Bulut (2014). The investigation of exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method.
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Andrei Polyanin,Valentin Zaitsev (2004). Handbook of Nonlinear Partial Differential 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

Md. Shafiqul Islam. 2017. "Soliton-like Solutions for Some Nonlinear Evolution Equations through the Generalized Kudryashov Method". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F7).

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GJSFR Volume 17 Issue F7

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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: 34A34

Submission ReceivedSeptember 30, 2017
Peer Review Double Blind
Handling Editor
Accepted October 30, 2017
Published November 14, 2017

Version of record

v1.2

Issue date

November 20, 2017

Language

English

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Article Matrices

Total Score: 147

Country: Bangladesh

Subject: Global Journal of Science Frontier Research

Authors: Md. Shafiqul Islam, Md. Babul Hossain, Md. Abdus Salam (PhD/Dr. count: 0)

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Publish Date: 2017 11, Tue

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