Electron. J. Differential Equations, Vol. 2017 (2017), No. 224, pp. 1-13.

Approximate solutions to BBM equations with bilinear control in a slowly varying medium

Wenxia Chen, Lixin Tian, Gang Xu, Ping Yang

Abstract:
This article concerns an approximate solution for the Benjamin-Bona-Mahony (BBM) equation with a bilinear control in slowly varying medium. By a sharp estimation of the error term, a suitable approximate solution for this equation is established.

Submitted December 11, 2016. Published September 19, 2017.
Math Subject Classifications: 35Q53, 35B40.
Key Words: Approximate solution; BBM equation; bilinear control; slowly varying medium.

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Wenxia Chen
Nonlinear Scientific Research Center
Jiangsu University
Zhenjiang, Jiangsu, 212013, China
email: chenwx@ujs.edu.cn
Lixin Tian
Nonlinear Scientific Research Center
Jiangsu University
Zhenjiang, Jiangsu, 212013, China
email: tianlx@ujs.edu.cn, tianlixin@njnu.edu.cn
Gang Xu
Nonlinear Scientific Research Center
Jiangsu University
Zhenjiang, Jiangsu, 212013, China
email: gxu@ujs.edu.cn
Ping Yang
Nonlinear Scientific Research Center
Jiangsu University
Zhenjiang, Jiangsu, 212013, China
email: 598761315@qq.com

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