Wang, Junjie; Li, Shengping Multi-symplectic Preissmann methods for DGH equation with strong dispersive term. (Chinese. English summary) Zbl 1374.65209 Chin. Ann. Math., Ser. A 37, No. 3, 291-302 (2016). Summary: The DGH equation, a typical nonlinear wave equation, has broad application prospect. The numerical method of the DGH equation with a strong dispersive term was studied based on the multi-symplectic theory in the Hamilton space. The multi-symplectic Preissmann is reviewed, and semi-implicit scheme is constructed to solve the DGH equation with a strong dispersive term, and the error of local conservation laws of energy and momentum are given. The numerical experiments are given, and results show that the numerical method is an efficient method with excellent long-time numerical behaviors. MSC: 65P10 Numerical methods for Hamiltonian systems including symplectic integrators 37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems 35L70 Second-order nonlinear hyperbolic equations Keywords:Hamilton system; Preissmann scheme; multi-symplectic method; DGH equation with strong dispersive term; nonlinear wave equation; numerical experiments PDFBibTeX XMLCite \textit{J. Wang} and \textit{S. Li}, Chin. Ann. Math., Ser. A 37, No. 3, 291--302 (2016; Zbl 1374.65209) Full Text: DOI