3 papers
math-ph2025
Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term
Anton E. Kulagin, Alexander V. Shapovalov
We develop the method for constructing solutions to the nonlocal nonlinear Schrödinger equation (NLSE) with an anti-Hermitian term that are semiclassically localized on a one-dimen…
math-ph2024
Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation
Anton E. Kulagin, Alexander V. Shapovalov
We deal with the -dimensional nonlinear Schrödinger equation (NLSE) with a cubic nonlocal nonlinearity and an anti-Hermitian term, which is widely used model for the study of op…
math-ph2023
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…