| 扩展映射法与Boussinesq方程新的精确解 |
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| 引用本文： | 纪建成,信春刚,韩家骅. 扩展映射法与Boussinesq方程新的精确解[J]. 安徽大学学报(自然科学版), 2011, 35(5): 46-51 |
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| 作者姓名： | 纪建成 信春刚 韩家骅 |
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| 作者单位： | 安徽大学物理与材料科学学院,安徽合肥,230039 |
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| 基金项目： | 安徽省科技厅年度基金重点资助项目(01041188);安徽省省级精品课程建设基金资助项目 |
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| 摘 要： | 运用扩展映射法,结合辅助方程,利用计算机代数系统Mathematica求出Boussinesq方程一系列新的精确周期解,这些精确解在极限情况下(m→1)退化为相应的孤波解.该方法也可用来求解其他非线性演化方程,如Klein-Gordon方程和Benjamin方程等.
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| 关 键 词： | 映射法 辅助方程法 非线性演化方程 精确解 周期解 |
The extended mapping method and new exact solutions for Boussinesq equation |
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| JI Jian-cheng,XIN Chun-gang,HAN Jia-hua. The extended mapping method and new exact solutions for Boussinesq equation[J]. Journal of Anhui University(Natural Sciences), 2011, 35(5): 46-51 |
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| Authors: | JI Jian-cheng XIN Chun-gang HAN Jia-hua |
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| Affiliation: | *(School of Physics and Material Science,Anhui University,Hefei 230039,China) |
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| Abstract: | By making use of extended mapping method and auxiliary equation for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics,we obtained some new periodic wave solutions for Boussinesq equation.When the modulus m→1,these solutions degenerated into solitary wave solutions.This method also could be used to find new periodic wave solutions of other nonlinear evolution equations such as Klein-Gordon equation and Benjamin equation,etc. |
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| Keywords: | extended mapping method auxiliary equation method nonlinear evolution equations exact solutions periodic solutions |
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