An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order

Yaning Tang; Wei Xu; Liang Gao; Jianwei Shen

doi:10.1016/j.chaos.2005.12.022

An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order

Yaning Tang
, Wei Xu
, Liang Gao
, Jianwei Shen

数学与统计学院

Northwestern Polytechnical University Xian
Xuchang University

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

In this paper, an extended algebraic method with symbolic computation is applied to construct a series of travelling wave solutions of the one-dimensional generalized BBM equation of any order with positive and negative exponents. As a result, the proposed method gives many explicit exact solutions such as solitary wave solutions, periodic solutions, solitary patterns solutions and compacton solutions.

源语言	英语
页（从-至）	1846-1852
页数	7
期刊	Chaos, Solitons and Fractals
卷	32
期	5
DOI	https://doi.org/10.1016/j.chaos.2005.12.022
出版状态	已出版 - 6月 2007

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10.1016/j.chaos.2005.12.022

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abstract = "In this paper, an extended algebraic method with symbolic computation is applied to construct a series of travelling wave solutions of the one-dimensional generalized BBM equation of any order with positive and negative exponents. As a result, the proposed method gives many explicit exact solutions such as solitary wave solutions, periodic solutions, solitary patterns solutions and compacton solutions.",

author = "Yaning Tang and Wei Xu and Liang Gao and Jianwei Shen",

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AU - Tang, Yaning

AU - Xu, Wei

AU - Gao, Liang

AU - Shen, Jianwei

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N2 - In this paper, an extended algebraic method with symbolic computation is applied to construct a series of travelling wave solutions of the one-dimensional generalized BBM equation of any order with positive and negative exponents. As a result, the proposed method gives many explicit exact solutions such as solitary wave solutions, periodic solutions, solitary patterns solutions and compacton solutions.

AB - In this paper, an extended algebraic method with symbolic computation is applied to construct a series of travelling wave solutions of the one-dimensional generalized BBM equation of any order with positive and negative exponents. As a result, the proposed method gives many explicit exact solutions such as solitary wave solutions, periodic solutions, solitary patterns solutions and compacton solutions.

UR - https://www.scopus.com/pages/publications/33846396449

U2 - 10.1016/j.chaos.2005.12.022

DO - 10.1016/j.chaos.2005.12.022

M3 - 文章

AN - SCOPUS:33846396449

SN - 0960-0779

VL - 32

SP - 1846

EP - 1852

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order

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