A new multisymplectic scheme for generalized Kadomtsev-Petviashvili equation

摘要

From the multisymplectic Euler box scheme, we derive a new multisymplectic 16-point scheme for the generalized Kadomtsev-Petviashvili equation by eliminating the auxiliary variables. The new scheme is an explicit scheme in sense that it does not need iteration. The results of backward error analysis for the Euler box scheme show that the modified equation associated with the new scheme is not multisymplectic but of a high order approximation to a multisymplectic partial differential equations with a modified structure. Numerical results on one soliton and lump-type solitary waves are reported to illustrate the efficiency of the multisymplectic scheme. (c) 2006 American Institute of Physics.