Exact solutions of the generalized Benjamin-Bona-Mahony equation (Q613845)
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scientific article; zbMATH DE number 5829242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact solutions of the generalized Benjamin-Bona-Mahony equation |
scientific article; zbMATH DE number 5829242 |
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Exact solutions of the generalized Benjamin-Bona-Mahony equation (English)
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23 December 2010
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Summary: We apply the theory of Weierstrass elliptic functions to study exact solutions of the generalized Benjamin-Bona-Mahony equation. By using the theory of Weierstrass elliptic integration, we get some traveling wave solutions, which are expressed by the hyperbolic functions and trigonometric functions. This method is effective to find exact solutions of many other similar equations which have arbitrary-order nonlinearity.
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Benjamin-Bona-Mahony equation
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Weierstrass elliptic functions
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exact solutions
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