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

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	1846-1852
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	32
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2005.12.022
State	Published - Jun 2007

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10.1016/j.chaos.2005.12.022

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

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",

year = "2007",

month = jun,

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T1 - An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order

AU - Tang, Yaning

AU - Xu, Wei

AU - Gao, Liang

AU - Shen, Jianwei

PY - 2007/6

Y1 - 2007/6

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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