TY - JOUR
T1 - A New Multi-Symplectic Scheme for Nonlinear "Good" Boussinesq Equation
AU - Huang , Lang-Yang
AU - Zeng , Wen-Ping
AU - Qin , Meng-Zhao
JO - Journal of Computational Mathematics
VL - 6
SP - 703
EP - 714
PY - 2003
DA - 2003/12
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8891.html
KW - Nonlinear "good" Boussinesq equation, Multi-symplectic, Preissmann integrator, Conservation law.
AB - <p style="text-align: justify;">The Hamiltonian formulations of the linear &quot;good&quot;&nbsp;Boussinesq (L.G.B.) equationn and the multi-symplectic formulation of the nonlinear &quot;good&quot; 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.</p>