Spike-Layer Simulation for Steady-State Coupled Schrödinger Equations

DOI10.4208/eajam.030616.130517azbMath1384.65084OpenAlexW2752148082MaRDI QIDQ4605729

Liming Liao, Guanghua Ji, Hui Zhang, Zhongwei Tang

Publication date: 27 February 2018

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f8d2a3acb9d3e34a5ec280a005e811d1e9c66790

zbMATH Keywords

Schrödinger equationsadaptive finite element methodnumerical resultdamped Newton iterationspike-layer solution

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Several conservative compact schemes for a class of nonlinear Schrödinger equations with wave operator ⋮ Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation

Cites Work

• On numerical methods for nonlinear singularly perturbed Schrödinger problems
• Segregated peak solutions of coupled Schrödinger systems with Neumann boundary conditions
• Spike-layer solutions to singularly perturbed semilinear systems of coupled Schrödinger equations
• Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
• Bound states for a coupled Schrödinger system
• Segregated and synchronized vector solutions for nonlinear Schrödinger systems
• Multi-peak solutions to coupled Schrödinger systems with Neumann boundary conditions
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Spikes in two coupled nonlinear Schrödinger equations
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• On Finding Multiple Solutions to a Singularly Perturbed Neumann Problem
• Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS

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