| 杜殿楼,杨潇.(2+1)-维耦合的mKP方程的代数几何解[J].数学年刊A辑,2012,33(2):175~182 |
| (2+1)-维耦合的mKP方程的代数几何解 |
| Algebro-Geometric Solutions to (2+1)-Dimensional Coupled Modified Kadomtsev-Petviashvili Equations |
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| DOI： |
| 中文关键词: 耦合的mKP方程 Lie-Poisson结构 可积系统 代数几何解 |
| 英文关键词:Coupled mKP equation, Lie-Poisson structure, Integrable system,
Algebro-geometric solution |
| 基金项目:国家自然科学基金，河南省教育厅自然科学基金，河南省基础与前沿技术研究计划 |
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| 中文摘要: |
| 提出一个(2+1)-维耦合的mKP(CMKP)方程,通过其Lax对,实现了该方程的分解.进一步借助代数曲线理论,给出其代数几何解. |
| 英文摘要: |
| A (2+1)-dimensional coupled modified Kadomtsev-Petviashvili (CMKP) equation
is proposed, and its decomposition is derived by its Lax pair. Based on the theory of
algebraic curve, an algebro-geometric solution of the CMKP equation is obtained. |
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