ANALYTIC DARK SOLITON SOLUTIONS FOR A GENERALIZED VARIABLE-COEFFICIENT HIGHER-ORDER NONLINEAR SCHRÖDINGER EQUATION IN OPTICAL FIBERS USING SYMBOLIC COMPUTATION
2011 ◽
Vol 25
(04)
◽
pp. 499-509
◽
Keyword(s):
In this paper, a generalized variable-coefficient nonlinear Schrödinger equation with higher-order and gain/loss effects which can be used to describe the femtosecond pulse propagation is analytically investigated via symbolic computation. Under sets of coefficient constraints, such an equation is transformed into a completely integrable constant-coefficient higher-order nonlinear Schrödinger equation. Furthermore, through the transformation, the dark one- and two-soliton solutions for the generalized variable-coefficient higher-order nonlinear Schrödinger equation are derived by means of the bilinear method.
2011 ◽
Vol 43
(11-15)
◽
pp. 147-162
◽
2008 ◽
Vol 387
(1)
◽
pp. 97-107
◽
2007 ◽
Vol 40
(44)
◽
pp. 13299-13309
◽
2010 ◽
Vol 365
(2)
◽
pp. 517-524
◽
2009 ◽
Vol 72
(2)
◽
pp. 233-239
◽