| Davey-Stewartson方程行波解的分支 |
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| 引用本文： | 唐生强.Davey-Stewartson方程行波解的分支[J].桂林电子科技大学学报,2006,26(2):116-119. |
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| 作者姓名： | 唐生强 |
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| 作者单位： | 桂林电子科技大学,计算科学与数学系,广西,桂林,541004 |
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| 摘 要： | 用动力系统理论、分支理论和直接方法,研究了著名的Davey-Stewartson方程(DS).在积分常数为零的条件下,证明了该方程存在光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解.求出了在参数取某些值时Davey-Stewartson方程的显式精确行波解,并在不同的参数条件下,给出了上述光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解存在的各类充分条件.
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| 关 键 词： | 光滑孤立波解 光滑周期波解 Davey-Stewartson方程 |
| 文章编号： | 1001-7437(2006)02-0116-04 |
| 修稿时间： | 2006年1月20日 |
Bifurcations of travelling wave solutions for Davey-Stewartson equation |
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| TANG Sheng-qiang.Bifurcations of travelling wave solutions for Davey-Stewartson equation[J].Journal of Guilin Institute of Electronic Technology,2006,26(2):116-119. |
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| Authors: | TANG Sheng-qiang |
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| Abstract: | The theory of dynamical systems and the theory of bifurcation and the direct method are applied to the study of Davey-Stewartson equation(DS).When the integral constant is zero,the existence of smooth solitary wave solutions,uncountably infinite,many smooth periodic wave solutions,and kink and anti-kink wave solutions are proved.Some exact explicit parametric representations of travelling wave solutions of Davey-Stewartson equation are obtained.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given. |
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| Keywords: | solitary wave solution periodic wave solution Davey-Stewartson equation |
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