Lattice representation and dark solitons of the Fokas–Lenells equation

作者: V E Vekslerchik

DOI: 10.1088/0951-7715/24/4/008

关键词:

摘要: This work is devoted to an integrable generalization of the nonlinear Schrodinger equation proposed by Fokas and Lenells. I discuss relationships between this other models. Using reduction Fokas–Lenells already known ones obtain N-dark soliton solutions.

参考文章(12)
V E Vekslerchik, The Davey - Stewartson equation and the Ablowitz - Ladik hierarchy Inverse Problems. ,vol. 12, pp. 1057- 1074 ,(1996) , 10.1088/0266-5611/12/6/016
V. E. Vekslerchik, 'Universality' of the Ablowitz-Ladik hierarchy arXiv: Exactly Solvable and Integrable Systems. ,(1998)
Jonatan Lenells, Exactly solvable model for nonlinear pulse propagation in optical fibers Studies in Applied Mathematics. ,vol. 123, pp. 215- 232 ,(2009) , 10.1111/J.1467-9590.2009.00454.X
V E Vekslerchik, V V Konotop, Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions Inverse Problems. ,vol. 8, pp. 889- 909 ,(1992) , 10.1088/0266-5611/8/6/007
M. J. Ablowitz, J. F. Ladik, Nonlinear differential−difference equations Journal of Mathematical Physics. ,vol. 16, pp. 598- 603 ,(1975) , 10.1063/1.522558
Tu Gui-Zhang, O Ragnisco, I Merola, A NOVEL HIERARCHY OF INTEGRABLE LATTICES Inverse Problems. ,vol. 10, pp. 1315- 1334 ,(1994) , 10.1088/0266-5611/10/6/009
A.S. Fokas, On a class of physically important integrable equations Physica D: Nonlinear Phenomena. ,vol. 87, pp. 145- 150 ,(1995) , 10.1016/0167-2789(95)00133-O
V E Vekslerchik, The 2D Toda lattice and the Ablowitz-Ladik hierarchy Inverse Problems. ,vol. 11, pp. 463- 479 ,(1995) , 10.1088/0266-5611/11/2/012
V E Vekslerchik, Functional Representation of the Ablowitz­Ladik Hierarchy. II Journal of Nonlinear Mathematical Physics. ,vol. 9, pp. 157- 180 ,(2002) , 10.2991/JNMP.2002.9.2.3