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中文摘要：
基于Hamilton变分原理和Bridges意义下的多辛积分理论，提出了保持无穷维Hamilton系统稳态解能流通量和动量通量的保结构分析方法．针对复杂的无穷维Hamilton系统的多辛对称形式，首先讨论了其稳态解所满足的对称形式的守恒律问题；随后，以一个典型的无穷维Hamilton系统——zu6ria方程为例，采用box离散格式，模拟了其稳态解，并验证了算法的保结构性能．研究结果显示：采用保结构算法能够较好地模拟无穷维Hamilton系统的稳态解，并保持了无穷维Hamilton系统稳态解的能流通量和动量通量两个重要力学参量．这一研究结果将为复杂无穷维Hamilton系统稳态解的数值分析提供新的途径．
英文摘要：
Based on Hamilton variational principle and Bridges＇ multi-symplectic integration theory, a new structure-preserving algorithm was proposed to simulate the steady-state solution to the complex infinite dimensional Hamilton system. With Zufiria＇ s Boussinesq-type equations as an example, the high-order partial differential equation describing the steady-state solution to the Zufn-ia model was rewritten into a symmetric form under the energy flux conservation law and momentum flux conservation law firstly; then the box scheme for the symmetric form was constructed to simulate the steady-state solution to the Zufiria model. The numerical results show that the box scheme can well simulate the steady-state solution to the Zufiria model while properly preserving the momentum flux conservation law.
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