Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation

Xun Liu; Lixin Tian; Yuhai Wu

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Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation

机译：广义Benjamin-Bona-Mahony方程的精确解

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摘要

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.

机译：我们应用Weierstrass椭圆函数理论研究广义Benjamin-Bona-Mahony方程的精确解。利用Weierstrass椭圆积分理论，我们得到了一些行波解，用双曲函数和三角函数表示。该方法可有效地找到许多其他具有任意阶非线性的相似方程的精确解。

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《Mathematical Problems in Engineering》 |2010年第3期|p.77-81|共5页
作者
Xun Liu; Lixin Tian; Yuhai Wu;
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Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;

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2. Exact solutions of four generalized Benjamin-Bona-Mahony equations with any order [J] . Liu X., Tian L., Wu Y. Applied mathematics and computation . 2012,第17期

机译：四个具有任意阶的广义Benjamin-Bona-Mahony方程的精确解
3. Exact traveling soliton solutions for the generalized Benjamin-Bona-Mahony equation [J] . Hubert Malwe Boudoue, Kudryashov Nikolai A., Justin Mibaile, European Physical Journal Plus . 2018,第3期

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4. Exact Solutions to a Generalized Benjamin-Bona-Mahony Equation [C] . DV KAZAKOV, rnFE SAFAROV, rnR SCHMIDT, 2007 international conference on intelligent systems and knowledge engineering (ISKE 2007) . 2007

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5. Existence and stability of solitary-wave solutions of equations of Benjamin-Bona-Mahony type. [D] . Zeng, Lei. 2000

机译：Benjamin-Bona-Mahony型方程的孤立波解的存在性和稳定性。
6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

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7. Exact solutions to a generalized Benjamin-Bona-Mahony equation [O] . Jing Chen, Shaoyong Lai, Yin Qing 2007

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8. Unstable solitary-wave solutions of the generalized Benjamin-Bona-Mahony equation [R] . McKinney, W R, Restrepo, J M, Bona, J L 1994

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Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation

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