Pramana

, Volume 67, Issue 6, pp 1011–1022 | Cite as

Exact solutions to a class of nonlinear Schrödinger-type equations

  • Jin-Liang Zhang
  • Ming-Liang Wang
Research Articles

Abstract

A class of nonlinear Schrödinger-type equations, including the Rangwala-Rao equation, the Gerdjikov-Ivanov equation, the Chen-Lee-Lin equation and the Ablowitz-Ramani-Segur equation are investigated, and the exact solutions are derived with the aid of the homogeneous balance principle, and a set of subsidiary higher order ordinary differential equations (sub-ODEs for short).

Keywords

Homogeneous balance principle nonlinear Schrödinger equation Rangwala-Rao equation Gerdjikov-Ivanov equation Chen-Lee-Lin equation Ablowitz-Ramani-Segur equation exact solution 

PACS Nos

02.30.Jr 05.45.Yv 

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Copyright information

© Indian Academy of Sciences 2006

Authors and Affiliations

  • Jin-Liang Zhang
    • 1
  • Ming-Liang Wang
    • 1
    • 2
  1. 1.College of ScienceHenan University of Science and TechnologyLuoyangChina
  2. 2.Department of MathematicsLanzhou UniversityLanzhouChina

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