K Nakkeeran 2000 J. Phys. A: Math. Gen. 33 3947 doi:10.1088/0305-4470/33/21/307
K Nakkeeran
Show affiliationsWe consider the extended nonlinear Schrödinger (ENLS) equation which governs the propagation of nonlinear optical fields in a fibre with higher-order effects such as higher-order dispersion and self-steepening. We show that the ENLS equation does not pass the Painlevé test. Similarly, we claim that the coupled ENLS equations and N-coupled ENLS equations which govern the simultaneous propagation of two and more nonlinear fields in optical fibres are also not integrable from the Painlevé analysis point of view.
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
Issue 21 (2 June 2000)
Received 12 January 2000
K Nakkeeran 2000 J. Phys. A: Math. Gen. 33 3947
H. S. Knight et al. 2006 ApJ 640 941
J. R. Kuhn et al 2007 ApJ 668 L63
Max Karlovini and Lars Samuelsson 2007 Class. Quantum Grav. 24 3171
F. Yusef-Zadeh et al 1999 ApJ 518 L33
T Geszti and F Pazmandi 1987 J. Phys. A: Math. Gen. 20 L1299
Siek Hyung and Walter A. Feibelman 2004 ApJ 614 745
Weiqiang Chen et al 2007 J. Micromech. Microeng. 17 2352
David K Ferry 2009 J. Phys.: Condens. Matter 21 474201
Ampere A Tseng 2004 J. Micromech. Microeng. 14 R15