13 citations · 41 across the 5 of their papers we have counts for
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Quasiparticles for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation
A. E. Kulagin, A. V. Shapovalov
We construct quasiparticles-like solutions to the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) with a nonlocal nonlinearity using the method of semiclassically conc…
Pattern formation in terms of semiclassically limited distribution on lower-dimensional manifolds for nonlocal Fisher--Kolmogorov--Petrovskii--Piskunov equation
E. A. Levchenko, A. V. Shapovalov, A. Yu Trifonov
We have investigated the pattern formation in systems described by the nonlocal Fisher--Kolmogorov--Petrovskii--Piskunov equation for the cases where the dimension of the pattern c…
Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field
F. N. Litvinets, A. V. Shapovalov, A. Yu. Trifonov
A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic p…
The evolution operator of the Hartree-type equation with a quadratic potential
A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov
Based on the ideology of the Maslov's complex germ theory, a method has been developed for finding an exact solution of the Cauchy problem for a Hartree-type equation with a quadra…