Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations

Jiwei Zhang*, Zhenli Xu, Xiaonan WU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

An efficient method is proposed for numerical solutions of nonlinear Schrödinger equations on an unbounded domain. Through approximating the kinetic energy term by a one-way equation and uniting it with the potential energy equation, absorbing boundary conditions are designed to truncate the unbounded domain, which are in nonlinear form and can perfectly absorb waves outgoing from the boundaries of the truncated computational domain. The stability of the induced initial boundary value problem defined on the computational domain is examined by a normal mode analysis. Numerical examples are given to illustrate the stable and tractable advantages of the method.

Original languageEnglish
Article number026709
JournalPhysical Review E
Volume78
Issue number2
DOIs
Publication statusPublished - 29 Aug 2008

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations'. Together they form a unique fingerprint.

Cite this