On the system of non-linear differential equations yk=yk(yk+1-yk-1)
- 21 December 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (18) , 6237-6241
- https://doi.org/10.1088/0305-4470/20/18/023
Abstract
It is shown that the system of non-linear differential equations yk=yk(yk+1-yk-1) (k=1, 2, . . . .; y0=0) can be reduced to the system of linear differential equations delta k=4 delta k+1(k=1.2. . .).Keywords
This publication has 2 references indexed in Scilit:
- Three integrable Hamiltonian systems connected with isospectral deformationsPublished by Elsevier ,2004
- On an explicitly soluble system of nonlinear differential equations related to certain toda latticesAdvances in Mathematics, 1975