Abstract
This paper considers the multi-symplectic formulations of the generalized fifth-order KdV equation in Hamiltonian space. Recurring to the midpoint rule, it presents an implicit multi-symplectic scheme with discrete multi-symplectic conservation law to solve the partial differential equations which are derived from the generalized fifth-order KdV equation numerically. The results of the numerical experiments show that this multi-symplectic algorithm is good in accuracy and its long-time numerical behaviour is also perfect.
| Original language | English |
|---|---|
| Pages (from-to) | 3923-3929 |
| Number of pages | 7 |
| Journal | Chinese Physics B |
| Volume | 17 |
| Issue number | 11 |
| DOIs | |
| State | Published - 2008 |
Keywords
- conservation law
- Generalized fifth-order KdV equation
- Multi-symplectic
- Travelling wave solution