| 一类时间空间分数阶Klein - Gordon方程的孤立波解 |
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| 引用本文： | 陆求赐,王学彬,张宋传,徐瑞标.一类时间空间分数阶Klein - Gordon方程的孤立波解[J].延边大学理工学报,2023,0(1):30-35. |
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| 作者姓名： | 陆求赐 王学彬 张宋传 徐瑞标 |
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| 作者单位： | (1.武夷学院 人文与教师教育学院, 福建 武夷山 354300; 2.武夷学院 数学与计算机学院, 福建 武夷山 354300) |
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| 摘 要： | 利用1/G展开法对一类时间 - 空间分数阶Klein - Gordon方程进行了求解,并得到了丰富的行波解.所得解主要为该方程的孤立波解和扭曲波解.选取部分解进行相图分析显示,所得解均是有效的.该研究结果扩展了分数阶Klein - Gordon方程的应用范围.
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| 关 键 词： | 时间 - 空间分数阶Klein - Gordon方程 /G展开法 1/G展开法 行波变换 保形分数阶导数 孤立波解 |
Solitary wave solutions for a class of time - space fractional - order Klein - Gordon equation |
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| LU Qiuci,WANG Xuebin,ZHANG Songchuan ,XU Ruibiao.Solitary wave solutions for a class of time - space fractional - order Klein - Gordon equation[J].Journal of Yanbian University (Natural Science),2023,0(1):30-35. |
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| Authors: | LU Qiuci WANG Xuebin ZHANG Songchuan XU Ruibiao |
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| Affiliation: | (1.College of Humanities and Teacher Education, Wuyi University, Wuyishan 354300, China; 2.College of Mathematics and Computer, Wuyi University, Wuyishan 354300, China) |
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| Abstract: | The 1/G expansion method is adopted for solving a class of time - space fractional - order Klein - Gordon equations.Computed results present abundant traveling wave solutions, which mainly include two parts: solitary wave solutions and distorted wave solutions.Furthermore, the part of phase diagrams of the obtained solutions are analyzed, and the results show that the obtained solutions is valid.The research extends the application scope of the fractional Klein - Gordon equations. |
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| Keywords: | time - space fractional - order Klein - Gordon equation /G expansion method 1/G expansion method traveling wave transformation conformal fractional - order derivative solitary wave solution |
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