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Rational solutions and interaction solutions for (2 + 1)-dimensional nonlocal Schrödinger equation

  • Mi Chen
  • , Zhen Wang*
  • *Corresponding author for this work
  • Dalian University of Technology

Research output: Contribution to journalArticlepeer-review

Abstract

A chain of novel higher order rational solutions with some parameters and interaction solutions of a (2+1)-dimensional reverse space-time nonlocal Schrödinger (NLS) equation was derived by a generalized Darboux transformation (DT) which is derived by Taylor expansion and determinants. We obtained a series of higher-order rational solutions by one spectral parameter and we could get the periodic wave solution and three kinds of interaction solutions, singular breather and periodic wave interaction solution, singular breather and traveling wave interaction solution, bimodal breather and periodic wave interaction solution by two spectral parameters. We found a general formula for these solutions in the form of determinants. We also analyzed the complex wave structures of the dynamic behaviors and the effects of special parameters and presented exact solutions for the (2+1)-dimensional reverse space-time nonlocal NLS equation.

Original languageEnglish
Article number120201
JournalChinese Physics B
Volume29
Issue number12
DOIs
StatePublished - Dec 2020
Externally publishedYes

Keywords

  • Darboux transformation
  • interaction solutions
  • nonlocal Schr odinger equation
  • rational solutions

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