Group theoretic methods for approximate invariants and Lagrangians for some classes of y″ + εF(t)y′ + y = f(y, y′)

International Journal of Non-Linear Mechanics

Volumn 37, Issue 2, 2002, Pages 275-280

  Feroze, T ^a   Kara, A H ^b  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

Approximate symmetries; First integrals; Invariants; Lagrangians

Indexed keywords

APPROXIMATION THEORY; INVARIANCE; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; THEOREM PROVING;

APPROXIMATE SYMMETRIES; FIRST INTEGRALS;

NONLINEAR SYSTEMS;

EID: 0036489503     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(00)00111-6     Document Type: Article

References (14)

1. Approximate invariants and Lagrangians for autonomous, weakly non-linear systems
2. Approximate invariants and Lagrangians for autonomous, weakly non-linear systems - II
3. Approximate invariants and Lagrangians for autonomous, weakly non-linear systems - III
4. Perturbation methods in group analysis
5. Approximate symmetries and conservation laws with applications
6. Invariance and conservation laws for Lagrangian systems with one degree of freedom
7. Symmetries of first integrals and solutions of differential equations
8. Invariante variationsprobleme
9. On the classification of first-order Lagrangians on the line
10. Lie-Backlund and noether symmetries with applications
11. The relationship between symmetries and conservation laws