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.