The non-linear superposition principleand the Wei { Norman method

@inproceedings{Cari1998TheNS,
  title={The non-linear superposition principleand the Wei \{ Norman method},
  author={J. F. Cari and G................................................. S................................................. and Marmox and J.... and Nasarrexx},
  year={1998}
}
Group theoretical methods are used to study some properties of the Riccati equation, which is the only differential equation admitting a nonlinear superposition principle. The Wei–Norman method is applied for obtaining the associated differential equation in the group SL(2,R). The superposition principle for first order differential equation systems and Lie-Scheffers theorem are also analysed from this group theoretical perspective. Finally, the theory is applied in the solution of second order… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 13 references

Lie algebraic solution of linear differential equations

J. Wei, E. Norman
J. Math. Phys • 1963
View 9 Excerpts
Highly Influenced

One parameter family of closed , radiation { lledFriedmann { Robertson { Walker quantum universes

C. RosuH., J. Socorro
Phys . Lett . A • 1996

An algebraic form of the Factorization method

A. Stahlhofen, K. Bleuler
Nuovo Cim • 1989

An algebraic view to Operatorial Ordering and Its Applications to Optics, Riv

G. Dattoli, J. C. Gallardo, A. Torre
Nuovo Cim. 11, • 1988
View 1 Excerpt

An algebraic view to Operatorial Orderingand Its Applications to Optics

G. Dattoli, C. GallardoJ., A. Torre
Riv . Nuovo Cim . • 1988

The Riccati equation as comon basis for Supersymmetric Quantum Mechanics and the Factorization method

A. Stahlhofen
1988

Decoupling and order reduction via the Riccati tranformation

D. R. Smith
SIAM Review 29, • 1987

Applications of Lie Groups to Differential Equations, Graduate Texts

P. J. Olver
1986
View 1 Excerpt

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