| 非线性分数阶Klein-Gordon方程的新的显式解 |
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| 引用本文： | 李钊,孙峪怀,张雪,张健,黄春. 非线性分数阶Klein-Gordon方程的新的显式解[J]. 四川大学学报(自然科学版), 2017, 54(2): 221-226 |
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| 作者姓名： | 李钊 孙峪怀 张雪 张健 黄春 |
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| 作者单位： | 四川师范大学,四川师范大学 数学与软件科学学院,四川师范大学 数学与软件科学学院,西华师范大学,四川师范大学 数学与软件科学学院 |
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| 基金项目： | 国家自然科学基金,省自然科学基金 |
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| 摘 要： | 本文应用一种新的$(G''/G)$-展开法构建了非线性分数阶Klein-Gordon方程的更多、更一般的精确解.利用分数阶复变换,非线性分数阶Klein-Gordon方程被转化为非线性常微分方程.应用扩展的$(G''/G)$-展开法构建非线性分数阶Klein-Gordon方程精确解.得到了一系列新的显式解,包括双曲函数解,三角函数解和负幂次解,利用该方法获得了比以往更丰富的解.
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| 关 键 词： | 显式解 非线性分数阶Klein-Gordon方程 扩展的(G''/G)-展开法 |
| 收稿时间： | 2015-10-11 |
| 修稿时间： | 2016-04-08 |
New explicit solutions for the nonlinear fractional Klein-Gordon equation |
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| LI Zhao,SUN Yu-Huai,ZHANG Xue,Zhang Jian and HUANG Chun. New explicit solutions for the nonlinear fractional Klein-Gordon equation[J]. Journal of Sichuan University (Natural Science Edition), 2017, 54(2): 221-226 |
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| Authors: | LI Zhao SUN Yu-Huai ZHANG Xue Zhang Jian HUANG Chun |
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| Affiliation: | College of Mathematics and Software Science, Sichuan Normal University,College of Mathematics and Software Science, Sichuan Normal University,China West Normal University,College of Mathematics and Software Science, Sichuan Normal University |
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| Abstract: | This paper discuss a new approach of $(G''/G)$-expansion method for constructing more general exact solutions of nonlinear fractional Klein-Gordon equation. By using the fractional complex transformation,the nonlinear fractional Klein-Gordon equation have been converted to nonlinear ordinary differential equation,we will apply the extended $(G''/G)$-expansion method to construct the exact solutions of nonlinear fractional Klein-Gordon equation,a series new explicit solutions were obtained,which include hyperbolic function,trigonometric and negative exponential solutions,more richer than before results. |
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| Keywords: | explicit solutions nonlinear fractional Klein-Gordon equation extended (G''/G)-expansion method |
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