Lax Pairs and Integrability Conditions of Higher-Order Nonlinear Schrödinger Equations

M. Asad-Uz-Zaman, H. Chachou Samet, U. Al Khawaja

Research output: Contribution to journalArticlepeer-review

Abstract

We derive the Lax pairs and integrability conditions of the nonlinear Schrödinger equation with higher-order terms, complex potentials, and time-dependent coefficients. Cubic and quintic nonlinearities together with derivative terms are considered. The Lax pairs and integrability conditions for some of the well-known nonlinear Schrödinger equations, including a new equation which was not considered previously in the literature, are then derived as special cases. We show most clearly with a similarity transformation that the higher-order terms restrict the integrability to linear potential in contrast with quadratic potential for the standard nonlinear Schrödinger equation.

Original languageEnglish
Pages (from-to)171-178
Number of pages8
JournalCommunications in Theoretical Physics
Volume66
Issue number2
DOIs
Publication statusPublished - Aug 1 2016

Keywords

  • Lax pair
  • exact solutions
  • integrability

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint

Dive into the research topics of 'Lax Pairs and Integrability Conditions of Higher-Order Nonlinear Schrödinger Equations'. Together they form a unique fingerprint.

Cite this