Multi-symplectic method for generalized fifth-order KdV equation

• 来源期刊: 中国物理B（英文版）
• 关键词: generalized fifth-order KdV equation multi-symplectic travelling wave solution con servation law
• 年，卷（期）: 2008,（11）
• 页码范围: 3923-3929
• 页数: 7页
• 语种: 英文

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-symplectie algorithm is good in accuracy and its long-time numerical behaviour is also perfect.