| 引用本文： |
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唐生强,张彦文.三阶非线性Schrödinger方程行波解的分支[J].广西科学院学报,2006,22(3):148-152. [点击复制]
- TANG Sheng-qiang,ZHANG Yan-wen.Bifurcations of Travelling Wave Solutions for Third-order Nonlinear Schrödinger Equation[J].Journal of Guangxi Academy of Sciences,2006,22(3):148-152. [点击复制]
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| 摘要: |
| 用动力系统分支理论研究了三阶非线性Schrödinger方程.证明了该方程存在光滑孤立波解、扭结和反扭结波解和光滑周期波解.在不同的参数条件下,给出了上述解存在的各类充分条件.求出了该方程的显式精确行波解. |
| 关键词: 孤立波解 周期波解 扭结和反扭结波解 三阶非线性Schrödinger方程 |
| DOI： |
| 投稿时间：2006-01-17修订日期：2006-03-06 |
| 基金项目:Supported by Science Foundation of Guangxi (0575092) |
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| Bifurcations of Travelling Wave Solutions for Third-order Nonlinear Schrödinger Equation |
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TANG Sheng-qiang1, ZHANG Yan-wen2
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| (1.Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China;2.Library, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| By using the bifurcation theory of dynamical systems to third-order nonlinear Schrödinger equation,the smooth solitary wave solutions,kink and anti-kink wave solutions and periodic wave solutions are obtained.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given.Some exact explicit parametric representations of the above waves are determined. |
| Key words: solitary wave solution periodic wave solution kink and anti-kink wave solution third-order nonlinear Schrödinger equation |
