Comptes Rendus
Differential Geometry/Dynamical Systems
On Ishii's equation
Comptes Rendus. Mathématique, Volume 341 (2005) no. 2, pp. 107-111

We will study the dynamics of Ishii's equation using its Hamilton–Poisson formulation.

On va étudier la dynamique de l'équation de Ishii en utilisant une réalisation Hamilton–Poisson de cette équation.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2005.06.010

Petre Birtea  1 ; Mircea Puta  1

1 West University of Timişoara, Blvd. V. Parvan 4, Timişoara 300223, Timis, Romania
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     title = {On {Ishii's} equation},
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Petre Birtea; Mircea Puta. On Ishii's equation. Comptes Rendus. Mathématique, Volume 341 (2005) no. 2, pp. 107-111. doi: 10.1016/j.crma.2005.06.010

[1] A. Goriely Integrability and Nonintegrability of Dynamical System, Adv. Ser. Nonlinear Dynam., vol. 19, World Scientific, 2001

[2] M. Ishii Painleve property and algebraic integrability of single variable ordinary differential equations with dominants, Progr. Theor. Phys., Volume 84 (1990), pp. 386-391

[3] D.F. Lawden Elliptic Functions and Applications, Appl. Math. Sci., vol. 80, Springer, 1989

[4] P. Libermann; C.-M. Marle Symplectic Geometry and Analytical Mechanics, Reidel, 1987

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