On controlled propagation of long waves in nonautonomous Boussinesq–Burgers equations

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• 作者：H. I. Abdel-Gawad ; M. Tantawy
• 关键词：Boussinesq–Burgers equations (BBEs) ; Traveling wave solutions (TWS) ; Controlled long waves
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：87
• 期：4
• 页码：2511-2518
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

Very recently, the homogeneous Boussinesq–Burgers equations for finding multi-solitary long waves were studied, while the specification of propagation of these waves has not been studied. Here, controlled the propagation of long waves is investigated for different geometrical structure of long waves soliton, chirped elliptical waves, or periodic waves. Here depending on the inhomogeneity of the medium by account by time-dependent coefficients of the dispersion and nonlinearity, it is found that, the velocity and the height of long waves propagation are remarkably increasing with the dispersions coefficient. While this holds vice versa for the nonlinearity coefficient.