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nlin.SI2024
Higher symmetries of the lattices in 3D
I. T. Habibullin, A. R. Khakimova
It is known that there is a duality between the Davey--Stewartson type coupled systems and a class of integrable two--dimensional Toda type lattices. More precisely, the coupled sy…
nlin.SI2024★ 6 cited
Construction of exact solutions of nonlinear PDE via dressing chain in 3D
I. T. Habibullin, A. R. Khakimova
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 recentl…
nlin.SI2024
Reduction of the Laplace sequence and sine-Gordon type equations
K I Faizulina, A R Khakimova
In this work, we continue the development of methods for constructing Lax pairs and recursion operators for nonlinear integrable hyperbolic equations of soliton type, previously pr…