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Section B Special Section: New Analytical Methods

Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law

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Pages 1178-1185 | Received 13 Mar 2009, Published online: 10 May 2010

References

  • Afanasjev, V. V. , Dianov, E. M. , and Serkin, V. N. , 1989. Nonlinear pairing of short bright and dark soliton pulses by phase cross modulation , IEEE J. Quant. Electron. 25 (1989), p. 2656.
  • Akimov, A. V. , Scherbakov, A. V. , van Capel, P. J.S. , Dijkhuis, J. I. , Berstermann, T. , Yakovlev, D. R. , and Bayer, M. , 2007. Presented at Acoustic solitons in semiconductor nanostructures, PHONONS 2007. Philadelphia, PA, , Journal of Physics: conference Series.
  • Biswas, A. , 2008. 1-soliton solution of (1+2)-dimensional nonlinear Schrödinger's equation in dual-power law media , Phys. Lett A. 372 (2008), pp. 5941–5943.
  • Chertkov, M. , Gabitov, I. , Kolokolov, I. , and Lebedev, V. , 2001. Shedding and interaction of solitons in imperfect medium , J. Exp. Theoret. Phys. Lett. 74 (7) (2001), pp. 357–361.
  • Ciattoni, A. , Crosignani, B. , Di Porto, P. , and Yariv, A. , 2005. Perfect optical solitons: spatial Kerr solitons as exact solutions of Maxwell's equations , J. Opt. Soc. Amer. B 22 (2005), p. 1384.
  • El-Wakil, S. A. , Abdou, M. A. , and Elhanbaly, A. , 2006. New solitons and periodic wave solutions for nonlinear evolution equations , Phys. Lett A 353 (2006), pp. 40–47.
  • Gedalin, M. , Scott, T. C. , and Band, Y. B. , 1997. Optical solitary waves in the higher order nonlinear Schrödinger equation , Phys. Rev. Lett. 78 (3) (1997), pp. 448–451.
  • Glasner, M. , and Yevick, D. , 1995. A numerical procedure for soliton generation , Opt. Quant. Electron. 27 (1995), p. 799.
  • Hong, W. P. , 2001. Optical solitary wave solutions for the higher order nonlinear Schrödinger equation with cubic–quintic non-Kerr terms , Opt. Commun. 194 (2001), p. 217.
  • Kim, D. Ch. , 2007. On the theory of acoustic solitons in a liquid with distributed gas bubbles , Tech. Phys. 52 (2007), p. 685.
  • Kim, D. Ch. , 2008. Physical nature of acoustical solitons in liquid with distributed gas bubbles , Dokl. Phys. 53 (2008), p. 66.
  • Kim, J. , 2001. A coupled higher-order nonlinear Schrödinger equation including higher-order bright and dark solitons , ETRI J. 23 (2001), pp. 9–15.
  • Li, L. , Li, Z. , Li, S. , and Zhou, G. , 2004. Modulation instability and solitons on a CW background in inhomogeneous optical fibre media , Opt. Commun. 234 (2004), pp. 169–176.
  • Lin, Q. , Wu, Y. H. , Loxton, R. , and Lai, S. , 2009. Linear B-spline finite element method for the improved Boussinesq equation , J. Comput. Appl. Math. 224 (2009), p. 658.
  • Palacios, S. L. , 2003. Optical solitons in highly dispersive media with a dual-power nonlinearity law , J. Opt. A: Pure Appl. Opt. 5 (2003), pp. 180–182.
  • Palacios, S. L. , and Fernandez-Diaz, J. M. , 2000. Black optical solitons for media with parabolic nonlinearity law in the presence of fourth order dispersion , Opt. Commun. 178 (2000), pp. 457–460.
  • Radhakrishnan, R. , and Aravinthan, K. , 2007. A dark-bright optical soliton solution to the coupled nonlinear Schrödinger equation , J. Phys. A, Math. Theoret. 40 (2007), p. 13023.
  • Sabry, R. , and El-Taibary, W. F. , 2008. New exact solutions for a generalized variable-coefficient KdV equation , Nonlinear anal. 69 (2008), p. 2763.
  • Tian, J. , and Zhou, G. , 2006. Chirped soliton-like solutions for nonlinear Schrödinger equation with variable coefficients , Opt. Commun. 262 (2006), p. 257.
  • Vanhille, C. , and Campos-Pozuelo, C. , 2008. Solitons in water–air mixtures: solution of the acoustic–bubble vibration coupling system , Int. J. Nonlinear Sci. Numer. Simulation 9 (2008), p. 367.
  • Wazwaz, A. M. , 2007. New solitons and kink solutions for the Gardner equation , Commun. Nonlinear Sci. Numer. Simul. 12 (2007), pp. 1395–1404.
  • Yang, R. , Li, L. , Hao, R. , Li, Z. , and Zhou, G. , 2005. Combined solitary wave solutions for the inhomogeneous higher-order nonlinear Schrödinger equation , Phys. Rev E. 71 (036616) (2005), p. 03661-1.
  • Yusufoglu, E. , and Bekir, A. , 2006. Solitons and periodic solutions of coupled nonlinear evolution equations by using Sine–Cosine method , Int. J. Comput. Math., 83 (2006), p. 915.
  • Zhang, J. , and Dai, C. , 2005. Bright and dark optical solitons in the nonlinear Schrödinger equation with fourth-order and cubic-quintic nonlinearity , Chinese Opt. Lett. 3 (5) (2005), p. 295.
  • Zhou, X. C. , and Rui, Y. , 2000. Numerical simulation of standing solitons and their interaction , Appl. Math. Mech. 21 (2000), p. 1371.

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