TY - JOUR
T1 - The Hamiltonian canonical form for Euler-Lagrange equations
AU - Zheng, Yu
PY - 2002/10/15
Y1 - 2002/10/15
N2 - 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.
AB - 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.
KW - Euler-Lagrange equations
KW - Hamiltonian operator
KW - Hamiltonian system
KW - Helmholtz condition
KW - Lagrange multiplier
UR - https://www.scopus.com/pages/publications/0036882899
U2 - 10.1088/0253-6102/38/4/385
DO - 10.1088/0253-6102/38/4/385
M3 - 文章
AN - SCOPUS:0036882899
SN - 0253-6102
VL - 38
SP - 385
EP - 394
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 4
ER -