Skip to main content
SpringerLink
Log in

Optical Solitons with Higher Order Dispersion in a Log Law Media

  • Published:
Journal of Infrared, Millimeter, and Terahertz Waves Aims and scope Submit manuscript

Abstract

This paper studies optical solitons with log law nonlinearity, in presence of higher order dispersions. He’s semi-inverse variational principle is used to carry out the integration of the governing equation.

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

Fig. 1

References

  1. A. Biswas & S. Konar. Introduction to non-Kerr law optical solitons. CRC Press, Boca Raton, FL. USA. (2006).

    Book  Google Scholar 

  2. A. Biswas. “Temporal solitons of the complex Ginzburg-Landau equation with power law nonlinearity” Progress in Electromagnetics Research. Volume 96, 1–7. (2009).

    Article  Google Scholar 

  3. A. Biswas, E. Zerrad, J. Gwanmesia & R. Khouri. “1-soliton solution of the generalized Zakharov equation in plasmas by He’s variational principle”. Applied Mathematics and Computation. Volume 215, Issue 12, 4462–4466. (2010).

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Biswas & D. Milovic. “Optical solitons with log law nonlinearity”. Communications in Nonlinear Science and Numerical Simulation. Volume 15, Issue 12, 3763–3767. (2010).

    Article  Google Scholar 

  5. A. Biswas & D. Wheeler. “Optical solitons with bandwidth limited amplification in a non-Kerr law media”. To appear in Optica Applicata.

  6. P. D. Green, D. Milovic, D. A. Lott & A. Biswas. “Optical solitons with higher order dispersion by semi-inverse variational principle”. Progress in Electromagnetics Research. Volume 102, 337–350. (2010).

    Google Scholar 

  7. P. Guerrero, J. L. Lopez & J. Nieto. “Global H1 solvability of the 3D logarithmic Schrödinger equation. Nonlinear Analysis: Real World Applications. Volume 11, Issue 1, 79–87. (2010).

    Article  MATH  MathSciNet  Google Scholar 

  8. J. H. He. “Variational principles for some nonlinear partial differential equations with variable coefficients”. Chaos, Solitons & Fractals. Volume 99, Issue 4, 847–851. (2004).

    Article  Google Scholar 

  9. C. M. Khalique & A. Biswas. “Gaussian soliton solution to nonlinear Schrödinger’s equation with log law nonlinearity”. International Journal of Physical Sciences. Volume 5, Issue 3, 280–282. (2010).

    Google Scholar 

  10. R. Kohl, A. Biswas, D. Milovic, & E. Zerrad. “Optical soliton perturbation in a non-Kerr law media”. Optics and Laser Technology. Volume 40, Issue 4, 647–662. (2008).

    Article  Google Scholar 

  11. R. Kohl, A. Biswas, D. Milovic & E. Zerrad. “Optical solitons by He’s variational principle in a non-Kerr law media”. Journal of Infrared, Millimeter and Terrahertz Waves. Volume 30, Number 5, 526–537. (2009).

    Article  Google Scholar 

  12. R. Sassaman, A. Heidari & A. Biswas. “Topological and non-topological solitons of nonlinear Klein-Gordon equations by He’s semi-inverse variational principle”. Journal of Franklin Institute. Volume 347, Issue 7, 1148–1157. (2010).

    Article  Google Scholar 

  13. S. Shwetanshumala. “Temporal solitons of modified complex Ginzburg-Landau Equation”. Progress in Electromagnetics Research Letters. Volume 3, 17–24. (2008).

    Article  Google Scholar 

  14. E. Topkara, D. Milovic, A. K. Sarma, F. Majid & A. Biswas. “A study of optical solitons with Kerr and power law nonlinearities by He’s variational principle”. Journal of European Optical Society. Volume 4, 09050. (2009).

    Google Scholar 

  15. B. Zhu & X-L Yang. “High-order nonlinearity influence on performance of high rate soliton communication system and its suppression method”. Journal of Infrared, Millimeter and Terahertz Waves. Volume 30, Number 6, 545–555. (2009).

    Article  Google Scholar 

Download references

Acknowledgements

The research work, for the first three authors (AB, JW, CC) was fully supported by NSF-CREST Grant No: HRD-0630388 this support is genuinely and sincerely appreciated.

Author information

Authors and Affiliations

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

    Anjan Biswas

  2. Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE, 19901-2277, USA

    James E. Watson Jr. & Carl Cleary

  3. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 1800, Nis, Serbia

    Daniela Milovic

Authors
  1. Anjan Biswas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. James E. Watson Jr.
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Carl Cleary
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Daniela Milovic
    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., Watson, J.E., Cleary, C. et al. Optical Solitons with Higher Order Dispersion in a Log Law Media. J Infrared Milli Terahz Waves 31, 1057–1062 (2010). https://doi.org/10.1007/s10762-010-9683-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10762-010-9683-3

Keywords

OCIS

Search

Navigation