A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations

DOI10.1016/j.jcp.2009.07.029zbMath1175.65117OpenAlexW2060691357MaRDI QIDQ732943

Yueh-Cheng Kuo, Shih-Feng Shieh, Wen-Wei Lin, Wei-Chung Wang

Publication date: 15 October 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.07.029

zbMATH Keywords

numerical examplescontinuation methodcoupled nonlinear Schrödinger equationsground statesminimal energynon-radially symmetric solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

On non‐local elliptic equations with sublinear nonlinearities involving an eigenvalue problem ⋮ The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions ⋮ Exploring ground states and excited states of spin-1 Bose-Einstein condensates by continuation methods ⋮ Rotational quotient procedure: a tracking control continuation method for PDEs on radially symmetric domains ⋮ A complete study of the ground state phase diagrams of spin-1 Bose-Einstein condensates in a magnetic field via continuation methods ⋮ A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations ⋮ On non-local nonlinear elliptic equations involving an eigenvalue problem

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