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^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

4 Scopus citations

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.

Original language	English
Pages (from-to)	165-179
Number of pages	15
Journal	Journal of Applied Analysis
Volume	28
Issue number	1
DOIs	https://doi.org/10.1515/jaa-2021-2068
State	Published - 1 Jun 2022

Keywords

Jacobi elliptic function
Riccati equation
Sub-equation method
homogeneous balance conditions

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10.1515/jaa-2021-2068

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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",

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

AU - Song, Chenwei

AU - Liu, Yinping

PY - 2022/6/1

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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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Keywords

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