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math-ph2023★ 5 cited
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…
math-ph2023★ 8 cited
Semiclassical approach to the nonlocal nonlinear Schrödinger equation with a non-Hermitian term
A. E. Kulagin, A. V. Shapovalov
The nonlinear Schödinger equation (NLSE) with a non-Hermitian term is the model for various phenomena in nonlinear open quantum systems. We deal with the Cauchy problem for the non…