| 一类非线性波方程的行波解分支 |
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| 引用本文： | 李少勇.一类非线性波方程的行波解分支[J].韶关学院学报,2010,31(3):11-14. |
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| 作者姓名： | 李少勇 |
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| 作者单位： | 韶关学院数学与信息科学学院,广东,韶关,512005 |
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| 摘 要： | 运用平面动力系统分支理论，研究了改进的（1＋1）维色散长波方程组的行波解分支，证明了该方程组存在光滑孤立渡解、扭波解、周期波解．给出了求上述显示精确行波解的方法以及光滑孤立波解、扭波解的显示精确解．
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| 关 键 词： | 非线性波方程 行波解 改进的（1＋1）维色散长波方程组 |
Bifurcation of traveling wave solutions to a type nonlinear equation |
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| LI Shao-yong.Bifurcation of traveling wave solutions to a type nonlinear equation[J].Journal of Shaoguan University(Social Science Edition),2010,31(3):11-14. |
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| Authors: | LI Shao-yong |
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| Affiliation: | LI Shao-yong(College of Mathematics , Information Sciences,Shaoguan University,Shaoguan 512005,Guangdong,China) |
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| Abstract: | The modified(1+1)-dimensional dispersive long wave equation was studied by the theory of dynamical systems and the theory of bifurcation.The existence of smooth solitary wave solution,kink wave solution and pe-riodic wave solution was proved.The method of the exact traveling wave solution and the exact smooth solitary and kink wave solutions were presented. |
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| Keywords: | nonlinear wave equation traveling wave solution modified(1+1)-dimensional dispersive long wave equation |
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