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On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. (English) Zbl 0306.34001


MSC:

34A05 Explicit solutions, first integrals of ordinary differential equations
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References:

[1] M. Kac and P. van Moerbeke; M. Kac and P. van Moerbeke · Zbl 0318.34033
[2] J. Moser; J. Moser · Zbl 0323.70012
[3] Flaschka, H., The Toda lattice II, Progr. Theoret. Phys., 51, 703-716 (1974) · Zbl 0942.37505
[4] Lax, P. D., Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math., 21, 467-490 (1968) · Zbl 0162.41103
[5] Case, K. M.; Kac, M., A discrete version of the inverse scattering problem, J. Mathematical Phys., 14, 594-603 (1973)
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