Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations
A generalized and improved (G'/G)-expansion method is proposed for finding more general type and new travelling wave solutions of nonlinear evolution equations. To illustrate the novelty and advantage of the proposed method, we solve the KdV equation, the Zakharov-Kuznetsov- Benjamin-Bona-Ma...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2012
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| Subjects: | |
| Online Access: | http://eprints.usm.my/38016/1/A_Generalized_and_Improved_%28G%27G%29_-Expansion_Method_for_Nonlinear_Evolution_Equations.pdf http://eprints.usm.my/38016/ https://doi.org/10.1155/2012/459879 |
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| Institution: | Universiti Sains Malaysia |
| Language: | English |
| Summary: | A generalized and improved (G'/G)-expansion method is proposed for finding more general type
and new travelling wave solutions of nonlinear evolution equations. To illustrate the novelty
and advantage of the proposed method, we solve the KdV equation, the Zakharov-Kuznetsov-
Benjamin-Bona-Mahony �ZKBBM� equation and the strain wave equation in microstructured
solids. Abundant exact travelling wave solutions of these equations are obtained, which include
the soliton, the hyperbolic function, the trigonometric function, and the rational functions. Also
it is shown that the proposed method is efficient for solving nonlinear evolution equations in
mathematical physics and in engineering. |
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