Extended homogeneous balance conditions in the sub-equation method

Chenwei Song; Yinping Liu

doi:10.1515/jaa-2021-2068

Extended homogeneous balance conditions in the sub-equation method

Chenwei Song
, Yinping Liu^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

The sub-equation method is a kind of straightforward algebraic method to construct exact solutions of nonlinear evolution equations. In this paper, the sub-equation method is improved by proposing some extended homogeneous balance conditions. By applying them to several examples, it can be seen that new solutions could indeed be obtained.

源语言	英语
页（从-至）	165-179
页数	15
期刊	Journal of Applied Analysis
卷	28
期	1
DOI	https://doi.org/10.1515/jaa-2021-2068
出版状态	已出版 - 1 6月 2022

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title = "Extended homogeneous balance conditions in the sub-equation method",

abstract = "The sub-equation method is a kind of straightforward algebraic method to construct exact solutions of nonlinear evolution equations. In this paper, the sub-equation method is improved by proposing some extended homogeneous balance conditions. By applying them to several examples, it can be seen that new solutions could indeed be obtained.",

keywords = "Jacobi elliptic function, Riccati equation, Sub-equation method, homogeneous balance conditions",

author = "Chenwei Song and Yinping Liu",

note = "Publisher Copyright: {\textcopyright} 2021 Walter de Gruyter GmbH, Berlin/Boston 2022.",

year = "2022",

month = jun,

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T1 - Extended homogeneous balance conditions in the sub-equation method

AU - Song, Chenwei

AU - Liu, Yinping

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AB - The sub-equation method is a kind of straightforward algebraic method to construct exact solutions of nonlinear evolution equations. In this paper, the sub-equation method is improved by proposing some extended homogeneous balance conditions. By applying them to several examples, it can be seen that new solutions could indeed be obtained.

KW - Jacobi elliptic function

KW - Riccati equation

KW - Sub-equation method

KW - homogeneous balance conditions

UR - https://www.scopus.com/pages/publications/85118282056

U2 - 10.1515/jaa-2021-2068

DO - 10.1515/jaa-2021-2068

M3 - 文章

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SN - 1425-6908

VL - 28

SP - 165

EP - 179

JO - Journal of Applied Analysis

JF - Journal of Applied Analysis

IS - 1

ER -

Extended homogeneous balance conditions in the sub-equation method

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