内江师范学院学报2024,Vol.39Issue(10) :41-46.DOI:10.13603/j.cnki.51-1621/z.2024.10.007

(2+1)维Hirota-Maccari方程的新精确解

New exact solutions of(2+1)Hirota-Maccari equation

肖思宇 孙峪怀
内江师范学院学报2024,Vol.39Issue(10) :41-46.DOI:10.13603/j.cnki.51-1621/z.2024.10.007

(2+1)维Hirota-Maccari方程的新精确解

New exact solutions of(2+1)Hirota-Maccari equation

肖思宇 1孙峪怀1
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作者信息

  • 1. 四川师范大学数学科学学院,四川 成都 610066
  • 折叠

摘要

对(2+1)维Hirota-Maccari方程的解进行了构建和研究.通过行波变换,将(2+1)维Hirota-Maccari方程转化为常微分方程,然后通过平衡最高阶导数项和非线性项确定解的表达式,再利用F-展开法构造出一系列带参数的精确解,这些解包括三角函数解、双曲函数解.结果表明F-展开法对构造非线性偏微分方程的精确解具有适用性和有效性.

Abstract

The exact solutions of(2+1)-dimensional Hirota-Maccari equations are constructed.The(2+1)dimensional Hirota-Maccari equation is transformed into an ordinary differential equation by traveling wave transformation,and then the expression of the solution is determined by balancing the highest derivative term and nonlinear term.A series of exact solutions with parameters are constructed by F-expansion method,including trigonometric and hyperbolic function solutions.The results show that the F-expansion method is applicable and effective to construct the exact solutions of nonlinear partial differential e-quations.

关键词

(2+1)维Hirota-Maccari方程/F-展开法/精确解

Key words

(2+1)Hirota-Maccari equation/F-expansion method/exact solution

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出版年

2024
内江师范学院学报
内江师范学院

内江师范学院学报

影响因子:0.299
ISSN:1671-1785
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