Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion Method
The two variables (𝐺/𝐺,1/𝐺)-expansion method is proposed in this paper to construct new exact traveling wave solutions with parameters of the nonlinear (3+1)-dimensional Kadomtsev-Petviashvili equation. This method can be considered as an extension of the basic (𝐺/𝐺)-expansion method obtained rece...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/560531 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562258803163136 |
|---|---|
| author | E. M. E. Zayed S. A. Hoda Ibrahim M. A. M. Abdelaziz |
| author_facet | E. M. E. Zayed S. A. Hoda Ibrahim M. A. M. Abdelaziz |
| author_sort | E. M. E. Zayed |
| collection | DOAJ |
| description | The two variables (𝐺/𝐺,1/𝐺)-expansion method is proposed in this paper to construct new exact traveling wave solutions with parameters of the nonlinear (3+1)-dimensional Kadomtsev-Petviashvili equation. This method can be considered as an extension of the basic (𝐺/𝐺)-expansion method obtained recently by Wang et al. When the parameters are replaced by special values, the well-known solitary wave solutions and the trigonometric periodic solutions of this equation were rediscovered from the traveling waves. |
| format | Article |
| id | doaj-art-3b0dabd0646147718010426f764588d0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3b0dabd0646147718010426f764588d02025-02-03T01:23:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/560531560531Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion MethodE. M. E. Zayed0S. A. Hoda Ibrahim1M. A. M. Abdelaziz2Mathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, EgyptMathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, EgyptMathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, EgyptThe two variables (𝐺/𝐺,1/𝐺)-expansion method is proposed in this paper to construct new exact traveling wave solutions with parameters of the nonlinear (3+1)-dimensional Kadomtsev-Petviashvili equation. This method can be considered as an extension of the basic (𝐺/𝐺)-expansion method obtained recently by Wang et al. When the parameters are replaced by special values, the well-known solitary wave solutions and the trigonometric periodic solutions of this equation were rediscovered from the traveling waves.http://dx.doi.org/10.1155/2012/560531 |
| spellingShingle | E. M. E. Zayed S. A. Hoda Ibrahim M. A. M. Abdelaziz Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion Method Journal of Applied Mathematics |
| title | Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion Method |
| title_full | Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion Method |
| title_fullStr | Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion Method |
| title_full_unstemmed | Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion Method |
| title_short | Traveling Wave Solutions of the Nonlinear (3+1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (𝐺′/𝐺,1/𝐺)-Expansion Method |
| title_sort | traveling wave solutions of the nonlinear 3 1 dimensional kadomtsev petviashvili equation using the two variables 𝐺 𝐺 1 𝐺 expansion method |
| url | http://dx.doi.org/10.1155/2012/560531 |
| work_keys_str_mv | AT emezayed travelingwavesolutionsofthenonlinear31dimensionalkadomtsevpetviashviliequationusingthetwovariablesgg1gexpansionmethod AT sahodaibrahim travelingwavesolutionsofthenonlinear31dimensionalkadomtsevpetviashviliequationusingthetwovariablesgg1gexpansionmethod AT mamabdelaziz travelingwavesolutionsofthenonlinear31dimensionalkadomtsevpetviashviliequationusingthetwovariablesgg1gexpansionmethod |