Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities

DOI10.1016/j.matcom.2010.11.008zbMath1219.78119arXiv0909.4752OpenAlexW2084858603MaRDI QIDQ543639

T. I. Lakoba

Publication date: 17 June 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4752

zbMATH Keywords

solitary wavesiterative methodsspinor Bose-Einstein condensatescoupled nonlinear wave equations

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Quantum equilibrium statistical mechanics (general) (82B10) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (4)

Conjugate gradient method for finding fundamental solitary waves ⋮ Continuation and preconditioned imaginary time evolution methods for boson-fermion mixtures ⋮ Stability analysis and continuation for the coupled Gross-Pitaevskii equations ⋮ A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates

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