Article citationsMore>>

F. Calogero and A. Degasperis, “Nonlinear Schr?dinger- type Equations from Multiscale Reduction of PDEs. II. Necessary Conditions of Integrability for Real PDEs,” Journal of Mathematical Physics, Vol. 42, No. 6, 2001, pp. 2635-2652. doi:10.1063/1.1366296

has been cited by the following article:

• TITLE: Exact Projective Excitations of Nonautonomous Nonlinear Schrödinger System in (1 + 1)-Dimensions

  AUTHORS: Jianfeng Ye, Chunlong Zheng

  KEYWORDS: Nonautonomous NLS System; Projective Approach; Exact Solution; Localized Excitation

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.8, August 15, 2012

  ABSTRACT: With the aid of a direct projective approach, a general transformation solution for the nonautonomous nonlinear Schr?dinger (NLS) system is derived. Based on certain known exact solutions of the projective equation, some periodic and localized excitations with novel properties are correspondingly revealed by entrancing appropriate system parameters. The integrable constraint conditions for the nonautonomous NLS system derived naturally here are consistent with the compatibility condition via the Painlevé analysis in other literature.