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NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY

Year 2015, Volume: 3 Issue: 1, 36 - 41, 01.04.2015

Abstract

In this paper we applied new structure to constructing new soli- tary wave solutions for perturbed nonlinear Schrodinger equation with power law nonlinearity, which describes the e ects of quantic nonlinearity on the ul- trashort optical solitons pulse propagation in non-Kerr media. These solitary wave solutions demonstrate the fact that solutions to the perturbed nonlinear Schrodinger equation with power law nonlinearity model can exhibit a variety of behaviors.

References

  • [1] G. P. Agarwal, Nonlinear Fiber Optic, 2nd ed., Accademic, New York, 1995.
  • [2] A. Hasegawa and K. Kodama, Solitons in Optical Communications, Oxford University Press, New York, 1995.
  • [3] Y. S. Kivshar and B. Luther-Davies, Phys. Rep., 298(1998) 81.
  • [4] M.J. Ablowitz, et al., J. Math. Phys., 21(1980) 715.
  • [5] Z.Y. Zhang, New exact traveling wave solutions for the nonlinear Klein{Gordon equation, Turk. J. Phys. 32 (2008) 235{240.
  • [6] Z.Y. Zhang, Z.H. Liu, X.J. Miao, Y.Z. Chen, New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity, Appl. Math. Comput. 216 (2010) 3064{ 3072.
  • [7] M.L. Wang, Y.B. Zhou, Z.B. Li, Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics, Phys. Lett. A 216 (1996) 67{75.
  • [8] Z.Y. Yan, New explicit solitary wave solutions and periodic wave solutions for Whitham{ Broer{Kaup equation in shallow water, Phys. Lett. A 285 (2001)355{362.
  • [9] S.A. Ei-Wakil, New exact travelling wave solutions using modi ed extended tanh-function method, Chaos Solitons Fractals 31 (2001) 840{852.
  • [10] Y.D. Shang, H. Huang, W.J. Yuan, The extended hyperbolic functions method and new exact solutions to the Zakharov equations, Appl. Math. Comput. 200 (2008) 110{122.
  • [11] Q. Wang, A new Riccati equation rational expansion method and its application to (2 +1)-dimensional Burgers equation, Chaos Solitons Fractals 25 (2005)1019{1028.
  • [12] C. Yan, A simple transformation for nonlinear waves, Phys. Lett. A 224 (2005)77{84.
  • [13] A.K. Sarma, M. Saha, A. Biswas, Optical solitons with power law nonlinearity and Hamiltonian perturbations: an exact solution, J. Infrared Milli. Terahertz Waves 31 (3.2) (2010) 1048{1056.
  • [14] A. Neirameh, Topological Solutions for Nonlinear Schrodinger Equation which in the Di-mensionless Form., International Journal of Modern Mathematical Sciences, (2014), 12(2): 55-63.
Year 2015, Volume: 3 Issue: 1, 36 - 41, 01.04.2015

Abstract

References

  • [1] G. P. Agarwal, Nonlinear Fiber Optic, 2nd ed., Accademic, New York, 1995.
  • [2] A. Hasegawa and K. Kodama, Solitons in Optical Communications, Oxford University Press, New York, 1995.
  • [3] Y. S. Kivshar and B. Luther-Davies, Phys. Rep., 298(1998) 81.
  • [4] M.J. Ablowitz, et al., J. Math. Phys., 21(1980) 715.
  • [5] Z.Y. Zhang, New exact traveling wave solutions for the nonlinear Klein{Gordon equation, Turk. J. Phys. 32 (2008) 235{240.
  • [6] Z.Y. Zhang, Z.H. Liu, X.J. Miao, Y.Z. Chen, New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity, Appl. Math. Comput. 216 (2010) 3064{ 3072.
  • [7] M.L. Wang, Y.B. Zhou, Z.B. Li, Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics, Phys. Lett. A 216 (1996) 67{75.
  • [8] Z.Y. Yan, New explicit solitary wave solutions and periodic wave solutions for Whitham{ Broer{Kaup equation in shallow water, Phys. Lett. A 285 (2001)355{362.
  • [9] S.A. Ei-Wakil, New exact travelling wave solutions using modi ed extended tanh-function method, Chaos Solitons Fractals 31 (2001) 840{852.
  • [10] Y.D. Shang, H. Huang, W.J. Yuan, The extended hyperbolic functions method and new exact solutions to the Zakharov equations, Appl. Math. Comput. 200 (2008) 110{122.
  • [11] Q. Wang, A new Riccati equation rational expansion method and its application to (2 +1)-dimensional Burgers equation, Chaos Solitons Fractals 25 (2005)1019{1028.
  • [12] C. Yan, A simple transformation for nonlinear waves, Phys. Lett. A 224 (2005)77{84.
  • [13] A.K. Sarma, M. Saha, A. Biswas, Optical solitons with power law nonlinearity and Hamiltonian perturbations: an exact solution, J. Infrared Milli. Terahertz Waves 31 (3.2) (2010) 1048{1056.
  • [14] A. Neirameh, Topological Solutions for Nonlinear Schrodinger Equation which in the Di-mensionless Form., International Journal of Modern Mathematical Sciences, (2014), 12(2): 55-63.
There are 14 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ahmad Neırameh

Publication Date April 1, 2015
Submission Date June 3, 2013
Published in Issue Year 2015 Volume: 3 Issue: 1

Cite

APA Neırameh, A. (2015). NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY. Konuralp Journal of Mathematics, 3(1), 36-41.
AMA Neırameh A. NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY. Konuralp J. Math. April 2015;3(1):36-41.
Chicago Neırameh, Ahmad. “NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY”. Konuralp Journal of Mathematics 3, no. 1 (April 2015): 36-41.
EndNote Neırameh A (April 1, 2015) NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY. Konuralp Journal of Mathematics 3 1 36–41.
IEEE A. Neırameh, “NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY”, Konuralp J. Math., vol. 3, no. 1, pp. 36–41, 2015.
ISNAD Neırameh, Ahmad. “NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY”. Konuralp Journal of Mathematics 3/1 (April 2015), 36-41.
JAMA Neırameh A. NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY. Konuralp J. Math. 2015;3:36–41.
MLA Neırameh, Ahmad. “NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY”. Konuralp Journal of Mathematics, vol. 3, no. 1, 2015, pp. 36-41.
Vancouver Neırameh A. NEW STRUCTURE TO CONSTRUCT NEW SOLITARY WAVE SOLUTIONS FOR PERTURBED NLSE WITH POWER LAW NONLINEARITY. Konuralp J. Math. 2015;3(1):36-41.
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