| 高阶非线性长短波共振方程的显式精确解 |
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| 引用本文： | 尚亚东,黄勇.高阶非线性长短波共振方程的显式精确解[J].广州大学学报(自然科学版),2010,9(1):1-5. |
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| 作者姓名： | 尚亚东 黄勇 |
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| 作者单位： | 1. 广州大学数学与信息科学学院,广东,广州,510006
2. 广州大学计算机科学与教育软件学院,广东,广州,510006 |
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| 基金项目： | 广东省科技计划项目(2008B080701042);;广州市属高校科技计划项目(62035)资助 |
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| 摘 要： | 借助于尚亚东最近提出的扩展双曲函数法和精确求解非线性数学物理方程的计算机符号代数软件包"PDESolver",求出了一个描述长短波相互作用效应的高阶非线性方程的丰富的显式精确解,包括多个孤立波解、奇异行波解和三角函数周期波解.
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| 关 键 词： | 非线性长短波共振方程 扩展双曲函数法 计算机符号代数 精确解 孤立波解 周期波解 |
Explicit and exact solutions to the higher order nonlinear long-short wave resonance equation |
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| SHANG Ya-dong,HUANG Yong.Explicit and exact solutions to the higher order nonlinear long-short wave resonance equation[J].Journal og Guangzhou University:Natural Science Edition,2010,9(1):1-5. |
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| Authors: | SHANG Ya-dong HUANG Yong |
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| Institution: | a.School of Mathematics and Information Sciences;b.School of Computer Science and Educational Software;Guangzhou University;Guangzhou 510006;China |
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| Abstract: | With the aid of the extended hyperbolic function method and the computer symbolic algebraic software package PDESolver,which is designed by the authors to solve nonlinear mathematical physic equations exactly,abundant explicit exact particular solutions to the higher order nonlinear long-short wave resonance equation which describes interactions between long and short waves are obtained.These solutions include the multiple solitary wave solutions,singular traveling wave solutions,and the periodic wave solut... |
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| Keywords: | Nonlinear long-short wave resonance equation the extended hyperbolicfunction method the computer symbolic algebraic system exact solutions solitary wave solutions periodic wave solutions |
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