8th International Science Congress (ISC-2018).  International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Application of nonlinear Schrödinger equation in optical communication - a review

Author Affiliations

  • 1Kodla B.K.A. Vidyamandir, Kodla , Murshidabad-742405, West Bengal, India

Res. J. Physical Sci., Volume 6, Issue (5), Pages 8-10, October,4 (2018)


With the help of Hamilton's variation principle, Non-linear Schrödinger equation have been obtained by introducing an additional term of higher order to the Lagrangian density in the Schrödinger field which is equivalent to Gross-Pitaevski equation. Here, the coefficient of nonlinearity is very small. Then we have discussed its applications in optical communication in short.


  1. Shabat A. and Zakharov V. (1972)., Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media., Soviet physics JETP, 34(1), 62.
  2. Hasegawa A. and Tappert F. (1973)., Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion., Applied Physics Letters, 23(3), 142-144.
  3. Kivshar Y.S. and Agrawal G. (2003)., Optical solitons: from fibers to photonic crystals., Academic press.
  4. Chakraborty D., Jung J.H. and Lorin E. (2013)., An efficient determination of critical parameters of nonlinear Schrödinger equation with a point-like potential using generalized polynomial chaos methods., Applied Numerical Mathematics, 72, 115-130.
  5. Hasegawa A. (1990)., Optical Solitons in Fibres., Springer-Verlag, New York.
  6. Wu X.Y., Zhang B.J., Liu X.J., Xiao L., Wu Y.H., Wang Y. and Cheng S. (2010)., Derivation of nonlinear Schrödinger equation., International Journal of Theoretical Physics, 49(10), 2437-2445.
  7. Abedi K., Ahmadi V., Gholmohammadi S., Darabi E. and Yavari M.H. (2005)., Soliton solution of nonlinear Schrodinger equation with application to Bose-Einstein condensation using the FD method., In Advanced Optoelectronics and Lasers, 2005. Proceedings of CAOL 2005. Second International Conference on (Vol. 2, pp. 164-167). IEEE.
  8. Donley E.A., Claussen N.R., Cornish S.L., Roberts J.L., Cornell E.A. and Wieman C.E. (2001)., Dynamics of collapsing and exploding Bose-Einstein condensates., Nature, 412(6844), 295.
  9. Montesinos G.D., Pérez-García V.M. and Michinel H. (2004)., Stabilized two-dimensional vector solitons., Physical review letters, 92(13), 133901.
  10. Yajima N., Oikawa M., Satsuma J. and Namba C. (1975)., Modulated Langmuir waves and nonlinear Landau damping., Rep. Res. Inst. Appl. Mech.(Kyushu Univ.), 22(70), 89-100.