文摘
英文文摘
声明
Chapter1Introduction
1.1 Korteweg-de Vries equation
1.2 Hamiltonian strnctures for the soliton equations
1.3 Multisymplectic Hamiltonian partial differential equations
1.4 Multisymplectic Preissman box scheme
1.5 Multisymplectic Euler box scheme
1.6 Academic motivation
Chapter2A new multisymplectic scheme for the generalized Kadomtsev-Petviashvili(KP) equation
2.1 Generalized KP equation
2.2 Derivation of a new explicit scheme for the KPI equation
2.3 Backward error analysis for the scheme
2.4 Some numerical results
Chapter3A New Multisymplectic scheme for the Zakharov-Kuznertsov (Zk)equation
3.1 ZK equation
3.2 Derivation of a new explicit scheme for the ZK equation
3.3 Backward error analysis for the scheme
3.4 Some numerical results
Chapter4Concludingremarks
Bibliography
Acknowledgements