Skip to main content
SpringerLink
Log in

1-Soliton Solution of 1+2 Dimensional Nonlinear Schrödinger’s Equation in Kerr Law Media

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

This paper integrates the nonlinear Schrödinger’s equation in 1+2 dimensions with Kerr law nonlinearity. An exact 1-soliton solution is obtained in closed form using the solitary wave ansatz. Finally, the consertved quantities are calculated using this soliton solution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ablowitz, M.J., Segur, H.: Solitons and the Inverse Scattering Transform. SIAM, Philadelphia (1981)

    MATH  Google Scholar 

  2. Akhmediev, N.N., Ankiewicz, A., Grimshaw, R.: Hamiltonian-versus-energy diagrams in soliton theory. Phys. Rev. E 59(5), 6088–6096 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  3. Asif, N., Shwetanshumala, S., Konar, S.: Photovoltaic spatial soliton pairs in two-photon photorefractive materials. Phys. Lett. A 372(5), 735–740 (2008)

    Article  ADS  Google Scholar 

  4. Biswas, A., Aceves, A.: Dynamics of solitons in optical fibers. J. Mod Opt. 48(7), 1135–1150 (2001)

    ADS  Google Scholar 

  5. Fewo, S.I., Kofane, T.C.: A collective variable approach for optical solitons in the cubic-quintic complex Ginzburg-Landau equation with third order dispersion. Opt. Commun. 282(10), 2893–2906 (2008)

    ADS  Google Scholar 

  6. Jana, S., Konar, S.: A new family of Thirring type optical spatial solitons via electromagnetically induced transparency. Phys. Lett. A 362(5–6), 435–438 (2007)

    Article  ADS  Google Scholar 

  7. Konar, S., Mishra, M., Jana, S.: Nonlinear evolution of cosh-Gaussian laser beams and generation of flat top spatial solitons in cubic quintic nonlinear media. Phys. Lett. A 362(5–6), 505–510 (2007)

    Article  ADS  Google Scholar 

  8. Shwetanshumala, S.: Temporal solitons of modified complex Ginzburg-Landau equation. Prog. Electromagn. Res. Lett. 3, 17–24 (2008)

    Article  Google Scholar 

  9. Yang, J., Kaup, D.J.: Stability and evolution of solitary waves in perturbed generalized nonlinear Schrödinger’s equations. SIAM J. Appl. Math. 60(3), 967–989 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  10. Zhidkov, P.E.: Korteweg-de Vries and Nonlinear Schrödinger’s Equations: Qualitative Theory. Springer, New York (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Research and Education in Optical Sciences and Applications, Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE, 19901-2277, USA

    Anjan Biswas

Authors
  1. Anjan Biswas
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anjan Biswas.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Biswas, A. 1-Soliton Solution of 1+2 Dimensional Nonlinear Schrödinger’s Equation in Kerr Law Media. Int J Theor Phys 48, 689–692 (2009). https://doi.org/10.1007/s10773-008-9844-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-008-9844-5

Keywords

Search

Navigation