2 papers
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…
nlin.SI2023
Laplace transformations and sine-Gordon type integrable PDE
I T Habibullin, K I Faizulina, A R Khakimova
It is well known that the Laplace cascade method is an effective tool for constructing solutions to linear equations of hyperbolic type, as well as nonlinear equations of the Liouv…