Mathematics

M.M. Aripov, A.S. Matyakubov
Self-similar solutions of a cross-diffusion parabolic system with variable density: explicit estimates and asymptotic behaviour 5

O. Karpova, K. Sabirov, D. Otajanov, A. Ruzmetov, A. A. Saidov
Absorbing boundary conditions for Schrödinger equation in a time-dependent interval 13

J. Kerner, T. M├╝hlenbruch
On a non-separable quantum many-particle system on the half-line 20

K.K. Sabirov, M. Aripov, D.B. Sagdullayev
Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds 24

Z. Sobirov, D. Babajanov, D. Matrasulov
Nonlinear standing waves on planar branched systems: shrinking into metric graph 29

Y. Yamazaki, S. Ohmori
Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation 38

J. Yusupov
Tunable wave packet transport in branched periodic lattices with time-dependent external field 42

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