Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation

Xun Liu, Lixin Tian and Yuhai Wu

Mathematical Problems in Engineering, 2010, vol. 2010, 1-5

Abstract:

We apply the theory of Weierstrass elliptic function 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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:796398

DOI: 10.1155/2010/796398

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