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 |
| Summary: | 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. |
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| ISSN: | 2192-8010 2192-8029 |