Dynamics of the black soliton in a regularized nonlinear Schrödinger equation
DOI10.1090/proc/16633arXiv2304.04823OpenAlexW4385877377MaRDI QIDQ6154348
Michael Plum, Dmitry E. Pelinovsky
Publication date: 15 February 2024
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.04823
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Finite difference methods for boundary value problems involving PDEs (65N06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Traveling wave solutions (35C07) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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