Construction of exact solutions of nonlinear PDE via dressing chain in 3D

Autor:	Habibullin, I. T., Khakimova, A. R.
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Ufa Mathematical Journal, 16:4 (2024), 124-135
Druh dokumentu:	Working Paper
DOI:	10.13108/2024-16-4-124
Popis:	The duality between a class of the Davey-Stewartson type coupled systems and a class of two-dimensional Toda type lattices is discussed. A new coupled system related to the recently found lattice is presented. A method for eliminating nonlocalities in coupled systems by virtue of special finite reductions of the lattices is suggested. An original algorithm for constructing explicit solutions of the coupled systems based on the finite reduction of the corresponding lattice is proposed. Some new solutions for coupled systems related to the Volterra lattice are presented as illustrative examples. Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2409.07017
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.02226 Zobrazit plný text záznamu View this record from Arxiv