Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
DOI10.1007/s00332-023-10001-7arXiv2304.02334MaRDI QIDQ6188981
Salvador López-Martínez, Guillaume Dujardin, André De Laire
Publication date: 12 January 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.02334
numerical methodstraveling wavesGross-Pitaevskii equationnumerical computationsdark solitonsnonlocal Schrödinger equationnonzero conditions at infinity
Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite difference methods for boundary value problems involving PDEs (65N06) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07) Soliton solutions (35C08)
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