Perturbation analysis of the ZK-BBM equation

Juan Zhao; Wei Li; Ling Guo

Perturbation analysis of the ZK-BBM equation

Juan Zhao
, Wei Li^*
, Ling Guo

^*此作品的通讯作者

Beijing University of Chemical Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

The traveling wave solution for the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation is considered, and shown to be governed by a nonlinear ordinary differential equation (ODE) system. The chaotic threshold curve of the system with damping perturbation and external excitation disturbance is analyzed using the Melnikov theory. Furthermore, the period doubling bifurcation with respect to the perturbation parameters is obtained, and simulations are carried out for specific parameters.

源语言	英语
页（从-至）	116-119
页数	4
期刊	Beijing Huagong Daxue Xuebao (Ziran Kexueban)/Journal of Beijing University of Chemical Technology (Natural Science Edition)
卷	42
期	3
出版状态	已出版 - 1 5月 2015
已对外发布	是

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title = "Perturbation analysis of the ZK-BBM equation",

abstract = "The traveling wave solution for the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation is considered, and shown to be governed by a nonlinear ordinary differential equation (ODE) system. The chaotic threshold curve of the system with damping perturbation and external excitation disturbance is analyzed using the Melnikov theory. Furthermore, the period doubling bifurcation with respect to the perturbation parameters is obtained, and simulations are carried out for specific parameters.",

keywords = "Melnikov method, Period doubling bifurcation, Solitary wave solution, ZK-BBM equation",

author = "Juan Zhao and Wei Li and Ling Guo",

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AU - Li, Wei

AU - Guo, Ling

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N2 - The traveling wave solution for the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation is considered, and shown to be governed by a nonlinear ordinary differential equation (ODE) system. The chaotic threshold curve of the system with damping perturbation and external excitation disturbance is analyzed using the Melnikov theory. Furthermore, the period doubling bifurcation with respect to the perturbation parameters is obtained, and simulations are carried out for specific parameters.

AB - The traveling wave solution for the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation is considered, and shown to be governed by a nonlinear ordinary differential equation (ODE) system. The chaotic threshold curve of the system with damping perturbation and external excitation disturbance is analyzed using the Melnikov theory. Furthermore, the period doubling bifurcation with respect to the perturbation parameters is obtained, and simulations are carried out for specific parameters.

KW - Melnikov method

KW - Period doubling bifurcation

KW - Solitary wave solution

KW - ZK-BBM equation

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AN - SCOPUS:84930168590

SN - 1671-4628

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JO - Beijing Huagong Daxue Xuebao (Ziran Kexueban)/Journal of Beijing University of Chemical Technology (Natural Science Edition)

JF - Beijing Huagong Daxue Xuebao (Ziran Kexueban)/Journal of Beijing University of Chemical Technology (Natural Science Edition)

IS - 3

ER -

Perturbation analysis of the ZK-BBM equation

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