On the question of extended two-dimensional non-relativistic supersymmetry
... transformations is considered separately. In contrast to the one-dimensional case, in which the problem is completely solved by Krum's formulas, iterations of two-dimensional Darboux transformations remain insufficiently understood.
Yurova A. A., Chirikov R. V.
supersymmetry, Darboux transform, 2D-Hamiltonian, extended supersymmetry, iterations
68-78
ΛCDM-model with δ-function
... Astashenok A. V., Elizalde E., Yurov A. V. The Cosmological Constant as an Eigenvalue of a Sturm-Liouville Problem // Astrophysics and Space Science, Astrophys Space Sci (2014) 349: 25.
https://doi.org/10.1007/s10509-013-1606-z
.
Yurov V. A., Chirikov R. V.
standard model, cosmological constant, singularity
109-115
Closed lattice of Toda equations
... математическая физика. 1996. Т. 109, № 3. С. 338—346.
20. Yurov V. A., Yurov A. V. The Cauchy Problem for the Generalized Hyperbolic Novikov — Veselov Equation. 2015. arXiv:1509.06078 [nlin. SI].
Yurov A. V., Yurova A. A., Chirikov R. V.
dressing Toda chains, Darboux transformation, Schlesinger transformation
54-72
An impacton solution for the vortex filament
... 247—258.
6. Yurov A. V., Yurov V. A. The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular “positons”, Arxiv: 1701.04903.
7. Lamb G. L. Elements of soliton theory // John Wiley & Sons. 1980.
Chirikov R., Yurov V.
vortex filament, nonlinear Schrödinger equation, impacton
53-58
A Lax pair for the (1+3) nonlinear equation
... J. Phys. A: Math. Theor. 2010. № 43. Р. 434002.
10. Faddeev L. D. The new life of complete integrability // Phys. Usp. 56. 2013. No. 5. Р. 465—472.
11. Ньюэлл А. Солитоны в математике и физике. М., 1989.
Chirikov R., Yurova A
Lax pair, (1 + 3) nonlinear partial differential equation, exact solution, integrable equation.
11-18
Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric
... systems // Quart. J. Math. 1955. Ser. 2, vol. 6. P. 121—127.
6. Veselov A. P., Shabat A. B. Dressing Chains and Spectral Theory of the Schrödinger Operator // Funkts. Anal. Prilozh. 1993. Vol. 27, Issue 2. P. 1—2.1.
Yurova A., Gritsenko V., Chirikov R.
Darboux-Moutard transformations, isospectral symmetries, solitons,
electrodynamics.
34-37