Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method
The novel (G′/G)-expansion method is one of the powerful methods that appeared in recent times for establishing exact traveling wave solutions of nonlinear partial differential equations. Exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions to the cubic nonline...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2014-01-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379714000473 |
| _version_ | 1811313537302134784 |
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| author | M.G. Hafez Md. Nur Alam M. Ali Akbar |
| author_facet | M.G. Hafez Md. Nur Alam M. Ali Akbar |
| author_sort | M.G. Hafez |
| collection | DOAJ |
| description | The novel (G′/G)-expansion method is one of the powerful methods that appeared in recent times for establishing exact traveling wave solutions of nonlinear partial differential equations. Exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions to the cubic nonlinear Klein–Gordon equation via this method are obtained in this article. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It is shown that the novel (G′/G)-expansion method is a simple and valuable mathematical tool for solving nonlinear evolution equations (NLEEs) in applied mathematics, mathematical physics and engineering. |
| first_indexed | 2024-04-13T10:56:20Z |
| format | Article |
| id | doaj.art-4c65b0e987504c579d1ac8653ef80a36 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T10:56:20Z |
| publishDate | 2014-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-4c65b0e987504c579d1ac8653ef80a362022-12-22T02:49:31ZengElsevierResults in Physics2211-37972014-01-014C17718410.1016/j.rinp.2014.09.001Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion methodM.G. Hafez0Md. Nur Alam1M. Ali Akbar2Department of Mathematics, Chittagong University of Engineering and Technology, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, BangladeshDepartment of Applied Mathematics, University of Rajshahi, BangladeshThe novel (G′/G)-expansion method is one of the powerful methods that appeared in recent times for establishing exact traveling wave solutions of nonlinear partial differential equations. Exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions to the cubic nonlinear Klein–Gordon equation via this method are obtained in this article. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It is shown that the novel (G′/G)-expansion method is a simple and valuable mathematical tool for solving nonlinear evolution equations (NLEEs) in applied mathematics, mathematical physics and engineering.http://www.sciencedirect.com/science/article/pii/S2211379714000473Novel (G′/G)-expansion methodKlein–Gordon equationsNonlinear evolution equationsTraveling wave solutionsSolitary wave solutions |
| spellingShingle | M.G. Hafez Md. Nur Alam M. Ali Akbar Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method Results in Physics Novel (G′/G)-expansion method Klein–Gordon equations Nonlinear evolution equations Traveling wave solutions Solitary wave solutions |
| title | Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method |
| title_full | Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method |
| title_fullStr | Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method |
| title_full_unstemmed | Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method |
| title_short | Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method |
| title_sort | exact traveling wave solutions to the klein gordon equation using the novel g g expansion method |
| topic | Novel (G′/G)-expansion method Klein–Gordon equations Nonlinear evolution equations Traveling wave solutions Solitary wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2211379714000473 |
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