Abstract
Based on the theory of calculus of variation, some sufficient conditions are given for some Euler-Lagrange equations to be equivalently represented by finite or even infinite many Hamiltonian canonical equations. Meanwhile, some further applications for equations such as the KdV equation, MKdV equation, the general linear Euler-Lagrange equation and the cylindric shell equations are given.
| Original language | English |
|---|---|
| Pages (from-to) | 385-394 |
| Number of pages | 10 |
| Journal | Communications in Theoretical Physics |
| Volume | 38 |
| Issue number | 4 |
| DOIs | |
| State | Published - 15 Oct 2002 |
Keywords
- Euler-Lagrange equations
- Hamiltonian operator
- Hamiltonian system
- Helmholtz condition
- Lagrange multiplier