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nlin.SI2017
Invariant manifolds for the hyperbolic type integrable equations and their applications
Ismagil Habibullin, Aigul Khakimova
We assign some kind of invariant manifolds to a given integrable PDE (its discrete or semi-discrete variant). First, we linearize the equation around its arbitrary solution . Th…
nlin.SI2017★ 10 cited
On a method for constructing the Lax pairs for integrable models via quadratic ansatz
Ismagil Habibullin, Aigul Khakimova
A method for constructing the Lax pairs for nonlinear integrable models is suggested. First we look for a nonlinear invariant manifold to the linearization of the given equation. E…