Exact traveling wave solutions of partial differential equations with power law nonlinearity
In this paper, we applied the functional variable method for four famous partial differential equations with power lawnonlinearity. These equations are included the Kadomtsev-Petviashvili, (3+1)-Zakharov-Kuznetsov, Benjamin-Bona-Mahony-Peregrine and Boussinesq equations. Various exact trav...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-09-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2015-0005 |
| _version_ | 1818691513514721280 |
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| author | Aminikhah H. Pourreza Ziabary B. Rezazadeh H. |
| author_facet | Aminikhah H. Pourreza Ziabary B. Rezazadeh H. |
| author_sort | Aminikhah H. |
| collection | DOAJ |
| description | In this paper, we applied the functional variable
method for four famous partial differential equations
with power lawnonlinearity. These equations are included
the Kadomtsev-Petviashvili, (3+1)-Zakharov-Kuznetsov,
Benjamin-Bona-Mahony-Peregrine and Boussinesq equations.
Various exact traveling wave solutions of these
equations are obtained that include the hyperbolic function
solutions and the trigonometric function solutions.
The solutions shown that this method provides a very effective,
simple and powerful mathematical tool for solving
nonlinear equations in various fields of applied sciences. |
| first_indexed | 2024-12-17T12:43:05Z |
| format | Article |
| id | doaj.art-6bf519de07d142a7869cb22054bac9ea |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-17T12:43:05Z |
| publishDate | 2015-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-6bf519de07d142a7869cb22054bac9ea2022-12-21T21:47:52ZengDe GruyterNonlinear Engineering2192-80102192-80292015-09-014318118810.1515/nleng-2015-0005Exact traveling wave solutions of partial differential equations with power law nonlinearityAminikhah H.0Pourreza Ziabary B.1Rezazadeh H.2Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan,P.O. Box 1914, P.C. 41938, Rasht, Iran Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan,P.O. Box 1914, P.C. 41938, Rasht, Iran Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan,P.O. Box 1914, P.C. 41938, Rasht, Iran In this paper, we applied the functional variable method for four famous partial differential equations with power lawnonlinearity. These equations are included the Kadomtsev-Petviashvili, (3+1)-Zakharov-Kuznetsov, Benjamin-Bona-Mahony-Peregrine and Boussinesq equations. Various exact traveling wave solutions of these equations are obtained that include the hyperbolic function solutions and the trigonometric function solutions. The solutions shown that this method provides a very effective, simple and powerful mathematical tool for solving nonlinear equations in various fields of applied sciences.https://doi.org/10.1515/nleng-2015-0005functional variable method homotopy analysis transform method partial differential equation power-law nonlinearity |
| spellingShingle | Aminikhah H. Pourreza Ziabary B. Rezazadeh H. Exact traveling wave solutions of partial differential equations with power law nonlinearity Nonlinear Engineering functional variable method homotopy analysis transform method partial differential equation power-law nonlinearity |
| title | Exact traveling wave solutions of partial
differential equations with power law nonlinearity |
| title_full | Exact traveling wave solutions of partial
differential equations with power law nonlinearity |
| title_fullStr | Exact traveling wave solutions of partial
differential equations with power law nonlinearity |
| title_full_unstemmed | Exact traveling wave solutions of partial
differential equations with power law nonlinearity |
| title_short | Exact traveling wave solutions of partial
differential equations with power law nonlinearity |
| title_sort | exact traveling wave solutions of partial differential equations with power law nonlinearity |
| topic | functional variable method homotopy analysis transform method partial differential equation power-law nonlinearity |
| url | https://doi.org/10.1515/nleng-2015-0005 |
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