Article citationsMore>>

Ablowitz, M.J., Ramani, A. and Segur, H.A. (1980) Connection between Nonlinear Evolution Equations and Ordinary Differential Equation of P Type. Journal of Mathematical Physics, 21, 715-721.

has been cited by the following article:

• TITLE: Painlevé Analysis for (2 + 1) Dimensional Non-Linear Schrödinger Equation

  AUTHORS: Muhammad Iqbal, Yufeng Zhang

  KEYWORDS: (2 + 1) Dimensional Nonlinear Schrödinger Equation, Painlevé Analysis, Bäcklund Transformation, Bilinear Form

  JOURNAL NAME: Applied Mathematics, Vol.8 No.11, November 8, 2017

  ABSTRACT: This paper investigates a real version of a (2 + 1) dimensional nonlinear Schr?dinger equation through adoption of Painlevé test by means of which the (2 + 1) dimensional nonlinear Schr?dinger equation is studied according to the Weiss et al. method and Kruskal’s simplification algorithms. According to Painlevé test, it is found that the number of arbitrary functions required for explaining the Cauchy-Kovalevskaya theorem exist. Finally, the associated B?cklund transformation and bilinear form is directly obtained from the Painlevé test.