Black optical solitons for media with parabolic nonlinearity law in the presence of fourth order dispersion

We find black solitary wave solutions for a nonlinear Schrodinger equation for media with a parabolic nonlinearity law in the presence of fourth-order dispersion. Particular cases are discussed.

[1]  I. Christov,et al.  Fourth-order dispersion-limited solitary pulses. , 1994, Optics letters.

[2]  Koshiba,et al.  Algebraic solitary-wave solutions of a nonlinear Schrödinger equation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  V. I. Karpman.  Evolution of solitons described by higher-order nonlinear Schrödinger equations , 1998 .

[4]  Adrian Ankiewicz,et al.  Solitons : nonlinear pulses and beams , 1997 .

[5]  V. Karpman,et al.  Evolution of solitons described by the higher-order nonlinear Schrödinger equation. II. Numerical investigation , 1999 .

[6]  Akira Hasegawa,et al.  Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion , 1973 .

[7]  G I Stegeman,et al.  Two-dimensional bright spatial solitons stable over limited intensities and ring formation in polydiacetylene para-toluene sulfonate. , 1998, Optics letters.

[8]  Pelinovsky,et al.  Instability-induced dynamics of dark solitons. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  J. Jasiński.  Bright solitons of generalized nonlinear Schrödinger equation , 1999 .

[10]  M Karlsson,et al.  Ultrashort solitons at the minimum-dispersion wavelength: effects of fourth-order dispersion. , 1993, Optics letters.

[11]  Anders Berntson,et al.  Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media , 1998 .

[12]  Dark solitons in periodically amplified fiber transmission systems with stepwise-varying dispersion , 1998 .

[13]  Yuji Kodama,et al.  Solitons in optical communications , 1995 .

[14]  M. Nakazawa,et al.  10 Gbit/s pseudorandom dark soliton data transmission over 1200 km , 1995 .

[15]  M Haelterman,et al.  Gordon-Haus effect on dark solitons. , 1994, Optics letters.

[16]  Kivshar,et al.  Optical solitons with power-law asymptotics. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[18]  Magnus Karlsson,et al.  Soliton-like pulses governed by fourth order dispersion in optical fibers , 1993, Nonlinear Guided-Wave Phenomena.