Levi Decio

Publications in Math-Net.Ru

1. Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane
   
   SIGMA, 19 (2023), 084, 7 pp.
2. Yamilov's theorem for differential and difference equations
   
   Ufimsk. Mat. Zh., 13:2 (2021),  158–165
3. Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization
   
   TMF, 196:3 (2018),  419–433
4. Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube
   
   TMF, 189:1 (2016),  69–83
5. Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests
   
   SIGMA, 11 (2015), 080, 20 pp.
6. Classification of discrete systems on a square lattice
   
   TMF, 172:2 (2012),  250–263
7. Symmetries of the Continuous and Discrete Krichever–Novikov Equation
   
   SIGMA, 7 (2011), 097, 16 pp.
8. Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf–Cole Transformations
   
   SIGMA, 7 (2011), 079, 24 pp.
9. Integrability of differential–difference equations with discrete kinks
   
   TMF, 167:3 (2011),  496–513
10. $C$-Integrability Test for Discrete Equations via Multiple Scale Expansions
    
    SIGMA, 6 (2010), 070, 17 pp.
11. On a nonlinear integrable difference equation on the square
    
    Ufimsk. Mat. Zh., 1:2 (2009),  101–105
12. On Miura Transformations and Volterra-Type Equations Associated with the Adler–Bobenko–Suris Equations
    
    SIGMA, 4 (2008), 077, 14 pp.
13. Symmetries of the Discrete Nonlinear Schrödinger Equation
    
    TMF, 127:3 (2001),  379–387
14. Levi–Civita theory for irrotational water waves in a one dimensional channel and the complex Korteweg–de Vries equation
    
    TMF, 99:3 (1994),  435–440
15. On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations
    
    TMF, 93:3 (1992),  473–480


16. In memory of Yamilov Ravil Islamovich
    
    Ufimsk. Mat. Zh., 12:2 (2020),  118–119