| 王军民,刘泮振.两个具有相同Hirota双线性方程的(3+1)-维演化方程的拟周期波解[J].数学年刊A辑,2012,33(2):237~246 |
| 两个具有相同Hirota双线性方程的(3+1)-维演化方程的拟周期波解 |
| Quasi-Periodic Wave Solutions to Two (3+1)-Dimensional Evolution Equations Possessing the Same Hirota Bilinear Equation |
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| DOI： |
| 中文关键词: Hirota双线性方程 Riemann θ函数 拟周期波解 |
| 英文关键词:Hirota bilinear equation, Riemann functions, Quasi-periodic
wave solutions |
| 基金项目:国家自然科学基金，河南省自然科学基金，河南省基础与前沿技术研究计划 |
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| 中文摘要: |
| 应用Hirota双线性方法,构造了一个用Riemannθ函数表示的双线性方程的拟周期波解.应用到两个(3+1)-维演化方程:一个是与AKNS可积方程族相关的可积模型,另一个是著名的Jimbo-Miwa方程,分别得到了这两个演化方程的拟周期波解. |
| 英文摘要: |
| Hirota bilinear method is implemented directly to construct quasi-periodic wave
solutions in terms of Riemann functions for a Hirota bilinear equation. As applications
to two nonlinear equations: the (3+1)-dimensional integrable equation generated from the
AKNS heirarchy and the (3+1)-dimensional Jimbo-Miwa equation, their quasi-periodic wave
solutions are obtained. |
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