NUMERICAL CONTINUATION FOR NONLINEAR SCHRÖDINGER EQUATIONS

DOI10.1142/S0218127407017501zbMath1153.65352OpenAlexW1984505655MaRDI QIDQ3499152

Cheng-Sheng Chien, Shing-Lin Chang

Publication date: 28 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407017501

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Computing multiple peak solutions for Bose-Einstein condensates in optical lattices, Numerical stability analysis of nonlinear Schrödinger equation via congruence transformation, Computing wave functions of nonlinear Schrödinger equations: a time-independent approach, Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates, A finite difference continuation method for computing energy levels of Bose-Einstein condensates

Uses Software

• PITCON

Cites Work

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• Multiple interior peak solutions for some singularly perturbed Neumann problems.
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• Multigrid Bifurcation Iteration
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• Numerical Methods for Bifurcations of Dynamical Equilibria
• Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems
• A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems
• TRACING THE SOLUTION SURFACE WITH FOLDS OF A TWO-PARAMETER SYSTEM
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