Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem
โ Scribed by Xianguo, Geng
- Book ID
- 111654893
- Publisher
- American Institute of Physics
- Year
- 1993
- Tongue
- English
- Weight
- 820 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0022-2488
- DOI
- 10.1063/1.530418
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๐ SIMILAR VOLUMES
This paper is concerned with a class of finite-dimensional discrete spatiotemporal systems of the form where k > 0 is an integer, f i : R k+2 โ R is a real function for all i = 1, 2, . . . , k, m โ N 0 = {0, 1, 2, . . .} and n โ Z = {. . . , -1, 0, 1, . . .} (or, n โ N 0 in some special cases). De
Positive and negative hierarchies of nonlinear integrable lattice models are derived from a discrete spectral problem. The two lattice hierarchies are proved to have discrete zero curvature representations associated with a discrete spectral problem, which also shows that the positive and negative h