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广义Benjamin-Bona-Mahony方程的精确行波解

申明奥 温振庶 潘昀蔚

华侨大学学报(自然科学版)2026,Vol.47Issue(5):609-614,6.
华侨大学学报(自然科学版)2026,Vol.47Issue(5):609-614,6.DOI:10.11830/ISSN.1000-5013.202411008

广义Benjamin-Bona-Mahony方程的精确行波解

Exact Traveling Wave Solutions of Generalized Benjamin-Bona-Mahony Equation

申明奥 1温振庶 1潘昀蔚1

作者信息

  • 1. 华侨大学 数学科学学院,福建 泉州 362021
  • 折叠

摘要

Abstract

Various forms of exact traveling wave solutions of generalized Benjamin-Bona-Mahony(BBM)e-quation are obtained by using F-expansion method or(G′/G)-expansion method.The results show that al-though the solutions of generalized BBM equation are obtained under the special conditionr=2 by F-expansion method,the forms of the solutions are richer,on the other hand,the solutions of generalized BBM equation can be found for generalr by(G′/G)-expansion method,but the forms of the solutions are greatly limited.

关键词

广义Benjamin-Bona-Mahony方程/F-展开法/(G′/G)-展开法/精确行波解

Key words

generalized Benjamin-Bona-Mahony equation/F-expansion method/(G′/G)-expansion method/exact traveling wave solution

分类

数理科学

引用本文复制引用

申明奥,温振庶,潘昀蔚..广义Benjamin-Bona-Mahony方程的精确行波解[J].华侨大学学报(自然科学版),2026,47(5):609-614,6.

基金项目

福建省自然科学基金资助项目(2021J01302) (2021J01302)

华侨大学学报(自然科学版)

1000-5013

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