Skip to main content
SpringerLink
Log in

Perturbation of shallow water waves by semi-inverse variational principle

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

This paper addresses the shallow water waves along with its perturbation terms that are modeled by Boussinesq equation. The power law nonlinearity is taken into consideration for a generalized setting. The semi-inverse variational principle is employed to derive the soliton solution in presence of perturbation terms. A couple of numerical simulations illustrate the analytical development.

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
Fig. 2

Similar content being viewed by others

References

  1. A Biswas and D Milovic Phys. Atomic Nuclei 74 781 (2011)

    Article  Google Scholar 

  2. A Biswas, D Milovic and R Kohl Inverse Probl. Sci. Eng. 20 227 (2012)

    Article  MATH  Google Scholar 

  3. A Biswas, D Milovic and A Ranasinghe Commun. Nonlinear Sci. Numer. Simul. 14 3738 (2009)

    Article  ADS  MATH  Google Scholar 

  4. A Biswas, E V Krishnan, P Suarez, A H Kara and S Kumar Indian J. Phys. 87 169 (2013)

    Article  ADS  Google Scholar 

  5. G Ebadi, S Johnson, E Zerrad and A Biswas J. King Saud University 24 237 (2012)

    Article  Google Scholar 

  6. Z Emami and H R Pakzad Indian J. Phys. 85 1643 (2011)

    Article  ADS  Google Scholar 

  7. A Gharaati and R Khordad Indian J. Phys. 85 433 (2011)

    Article  ADS  Google Scholar 

  8. L Girgis and A Biswas Waves Random Complex 21 96 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  9. P D Green, D Milovic, D A Lott and A Biswas Progr. Electromag. Res. 102 337 (2010)

    Article  Google Scholar 

  10. K Javidan and H R Pakzad Indian J. Phys. 87 83 (2013)

    Article  ADS  Google Scholar 

  11. R Kohl, D Milovic, E Zerrad and A Biswas J. Infrared Millim. Terahertz Waves 30 526 (2009)

    Article  Google Scholar 

  12. H Kumar, A Malik, F Chand and S C Mishra Indian J. Phys. 86 819 (2012)

    Article  ADS  Google Scholar 

  13. A Malik, F Chand, H Kumar and S C Mishra Indian J. Phys. 86 129 (2012)

    Article  ADS  Google Scholar 

  14. K Javidan and H R Pakzad Indian J. Phys. 86 1037 (2012)

    Article  ADS  Google Scholar 

  15. H R Pakzad Indian J. Phys. 83 1605 (2009)

    Article  ADS  Google Scholar 

  16. H R Pakzad Indian J. Phys. 84 867 (2010)

    Article  ADS  Google Scholar 

  17. H R Pakzad Indian J. Phys. 86 743 (2012)

    Article  ADS  Google Scholar 

  18. A M Wazwaz Appl. Math. Comput.182 529 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  19. A Yildirim and S T Mohyud-Din J. King Saud University 22 205 (2010)

    Article  Google Scholar 

  20. E Yusufoglu Nonlinear Dynam. 52 395 (2008)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19901, USA

    A. Biswas

  2. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia

    A. Biswas

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

    D. M. Milovic

  4. Department of Applied Sciences, Bahra Faculty of Engineering, Patiala, 147 001, Punjab, India

    S. Kumar

  5. Department of Mathematics, Ege University, 35100, Bornova, Izmir, Turkey

    A. Yildirim

Authors
  1. A. Biswas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. M. Milovic
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Yildirim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Biswas.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Biswas, A., Milovic, D.M., Kumar, S. et al. Perturbation of shallow water waves by semi-inverse variational principle. Indian J Phys 87, 567–569 (2013). https://doi.org/10.1007/s12648-013-0271-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-013-0271-y

Keywords

PACS Nos.

Search

Navigation