中国物理B ›› 2008, Vol. 17 ›› Issue (11): 3923-3929.doi: 10.1088/1674-1056/17/11/001
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胡伟鹏1, 邓子辰2
Hu Wei-Peng (胡伟鹏)a, Deng Zi-Chen (邓子辰)ab
摘要: This paper considers the multi-symplectic formulations of the generalized fifth-order KdV equation in Hamiltonian space. Recurring to the midpoint rule, it presents an implicit multi-symplectic scheme with discrete multi-symplectic conservation law to solve the partial differential equations which are derived from the generalized fifth-order KdV equation numerically. The results of the numerical experiments show that this multi-symplectic algorithm is good in accuracy and its long-time numerical behaviour is also perfect.
中图分类号: (Solitons)