| BBM方程的显式精确行波解 |
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| 引用本文： | 姜喜春.BBM方程的显式精确行波解[J].辽宁工学院学报,2010(2):136-140. |
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| 作者姓名： | 姜喜春 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连116029 |
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| 摘 要： | 利用推广的Tanh-函数法以及在此基础上的拓展和形变映射法,获得了BBM方程的许多显式精确行波解,包括孤子解、复线孤子解、周期波解、Jacobi椭圆函数解等。
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| 关 键 词： | BBM方程 Tanh-函数法 形变映射法 行波解 |
Explicit and Exact Traveling Wave Solutions of BBM Equation |
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| JIANG Xi-chun.Explicit and Exact Traveling Wave Solutions of BBM Equation[J].Journal of Liaoning Institute of Technology(Natural Science Edition),2010(2):136-140. |
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| Authors: | JIANG Xi-chun |
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| Affiliation: | JIANG Xi-chun(Mathematics College,Liaoning Normal University,Dalian 116029,China) |
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| Abstract: | Tanh-function method was extended then used to solve BBM equation,also deformation mapping method was used to obtain solutions of BBM quation.With both methods,abundant explicit and exact traveling wave solutions were obtained,which include Soliton solutions,Plural line soliton solution,periodic wave solutions,Jacobi elliptic fuction solutions,and other exact solutions. |
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| Keywords: | BBM equation Tanh-function method deformation mapping method traveling wave solution |
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