A NEW MULTI-SYMPLECTIC SCHEME FOR NONLINEAR "GOOD" BOUSSINESQ EQUATION

• 来源期刊: 计算数学（英文版）
• 关键词: Nonlinear "good" Boussinesq equation Multi-symplectic scheme Preissmann integrator Conservation law.
• 年，卷（期）: 2003,（6）
• 页码范围: 703-714
• 页数: 12页
• 语种: 英文

摘要

The Hamiltonian formulations of the linear "good" Boussinesq (L.G.B.) equation and the multi-symplectic formulation of the nonlinear "good" Boussinesq (N.G.B.) equation are considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissmann integrator is derived. We also present numerical experiments, which show that the symplectic and multi-symplectic schemes have excellent long-time numerical behavior.