Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation

Jianwei Shen; Wei Xu

doi:10.1016/j.chaos.2005.02.021

Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation

Jianwei Shen
, Wei Xu

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

55 引用（Scopus）

摘要

The dynamical behavior of travelling wave solutions in the Generalized Camassa-Holm equation u_t + 2ku_x - u_xxt + au^mu_x = 2u_xu_xx + uu_xxx is analyzed by using the bifurcation theory and the method of phase portraits analysis. The condition under which compactons and cusp waves appear are also given. In addition, the reason for solitary cusp wave and periodic cusp wave to exist is highlighted.

源语言	英语
页（从-至）	1149-1162
页数	14
期刊	Chaos, Solitons and Fractals
卷	26
期	4
DOI	https://doi.org/10.1016/j.chaos.2005.02.021
出版状态	已出版 - 11月 2005

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10.1016/j.chaos.2005.02.021

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abstract = "The dynamical behavior of travelling wave solutions in the Generalized Camassa-Holm equation ut + 2kux - uxxt + aumux = 2uxuxx + uuxxx is analyzed by using the bifurcation theory and the method of phase portraits analysis. The condition under which compactons and cusp waves appear are also given. In addition, the reason for solitary cusp wave and periodic cusp wave to exist is highlighted.",

author = "Jianwei Shen and Wei Xu",

year = "2005",

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doi = "10.1016/j.chaos.2005.02.021",

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AU - Xu, Wei

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N2 - The dynamical behavior of travelling wave solutions in the Generalized Camassa-Holm equation ut + 2kux - uxxt + aumux = 2uxuxx + uuxxx is analyzed by using the bifurcation theory and the method of phase portraits analysis. The condition under which compactons and cusp waves appear are also given. In addition, the reason for solitary cusp wave and periodic cusp wave to exist is highlighted.

AB - The dynamical behavior of travelling wave solutions in the Generalized Camassa-Holm equation ut + 2kux - uxxt + aumux = 2uxuxx + uuxxx is analyzed by using the bifurcation theory and the method of phase portraits analysis. The condition under which compactons and cusp waves appear are also given. In addition, the reason for solitary cusp wave and periodic cusp wave to exist is highlighted.

UR - https://www.scopus.com/pages/publications/19144372427

U2 - 10.1016/j.chaos.2005.02.021

DO - 10.1016/j.chaos.2005.02.021

M3 - 文章

AN - SCOPUS:19144372427

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation

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