| Affiliation: | 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China
2. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
3. School of Mathematics and System Science,Chinese Academy of Sciences,Beijing 100080,China |
| Abstract: | In this paper, taking the 2+1-dimensional sine-Gordon equation as an example, we present the concatenating method to construct the multisymplectic schemes. The-method is to discretizee independently the PDEs in different directions with symplectic schemes, so that the multisymplectic schemes can be constructed by concatenating those symplectic schemes. By this method, we can construct multisymplectic schemes, including some widely used schemes with an accuracy of any order. The numerical simulation on the collisions of solitons are also proposed to illustrate the efficiency of the multisymplectic schemes. |
