杨春飞,刘小华.Kaup-Kupershmidt方程的精确行波解[J].南华大学学报(自然科学版),2024,(1):66~71.[YANG Chunfei,LIU Xiaohua.The Exact Traveling Wave Solution of Kaup-Kupershmidt Equation[J].Journal of University of South China(Science and Technology),2024,(1):66~71.] |
Kaup-Kupershmidt方程的精确行波解 |
The Exact Traveling Wave Solution of Kaup-Kupershmidt Equation |
投稿时间:2023-11-03 |
DOI: |
中文关键词: Kaup-Kupershmit方程 扩展tanh函数法 广义Riccati方程 行波解 |
英文关键词:Kaup-Kupershmit equation extended tanh functions method generalized Riccati equation traveling wave solution |
基金项目:贵州省教育厅自然科学研究项目(QJJ2023012;QJJ2023061;QJJ2023062) |
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中文摘要: |
利用扩展tanh函数法研究了Kaup-Kupershmidt方程的精确行波解,得到了该方程不同类型的显式行波解,包括孤立波解、指数函数解和三角函数周期解。利用Maple软件绘制了所得解在具体参数值下的3D图和2D图,并对解的性态进行分析得出了相应解的类型。 |
英文摘要: |
The exact traveling wave solution of Kaup-Kupershmidt equation is studied by using extended tanh function method, and different types of explicit traveling wave solutions of Kaup-Kupershmit equation are obtained, including solitary wave solution, exponential function solution and trigonometric periodic solution. The 3D and 2D graphs of the obtained solutions under specific parameter values are drawn by Maple software, and the types of corresponding solutions are obtained by analyzing the properties of the solutions. |
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