| 一类非线性波动方程新的显式精确解 |
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| 引用本文： | 刘煜,范立群.一类非线性波动方程新的显式精确解[J].河南科技大学学报(自然科学版),2008,29(6). |
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| 作者姓名： | 刘煜 范立群 |
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| 作者单位： | 1. 河南电力试验研究院,河南,郑州,450052
2. 河南科技学院,河南,新乡,453003 |
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| 摘 要： | 利用积分法和试探函数法求出了非线性波动方程utt-kuxx pu qu2 su3=0多个新的显式精确解,其中包括双曲函数型孤立波解、三角函数周期波解,特别是得到了该方程的有理函数型孤立波解,用试探函数法求出的一类解代表了任意多组解,由该类解可以化出扭状孤波解和奇异行波解.
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| 关 键 词： | 非线性波动方程 孤立波解 有理函数型孤立波解 扭状孤波解 奇异行波解 |
New Explicit Exact Solutions for a Kind of Nonlinear Wave Equation |
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| LIU Yu,FAN Li-Qun.New Explicit Exact Solutions for a Kind of Nonlinear Wave Equation[J].Journal of Henan University of Science & Technology:Natural Science,2008,29(6). |
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| Authors: | LIU Yu FAN Li-Qun |
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| Institution: | LIU Yu1,FAN Li-Qun2 (1.Henan Electric Power Research Institute,Zhengzhou 450052,China,2.Henan Institute of Science & Technology,Xinxiang 453003,China) |
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| Abstract: | Many new explicit exact solutions for nonlinear wave equation utt-kuxx+pu+qu2+su3=0 are obtained by means of the integration and trial function method.These new solutions include solitary wave solutions of hyperbolic function form,periodic wave solution of triangle function form and especially solitary wave solution of rational function form.The expression of solution derived by trial function method represents countless solutions and from this expression a kink soliton solution and a singular traveling wav... |
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| Keywords: | Nonlinear wave equation Solitary wave solution Solitary wave solution of rational function form Kink soliton solution Singular traveling wave solution |
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