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

Yıl 2015, Cilt: 3 Sayı: 1, 36 - 41, 01.04.2015

Öz

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.

Kaynakça

  • [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.
Yıl 2015, Cilt: 3 Sayı: 1, 36 - 41, 01.04.2015

Öz

Kaynakça

  • [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.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Ahmad Neırameh

Yayımlanma Tarihi 1 Nisan 2015
Gönderilme Tarihi 3 Haziran 2013
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

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. Nisan 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, sy. 1 (Nisan 2015): 36-41.
EndNote Neırameh A (01 Nisan 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., c. 3, sy. 1, ss. 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 (Nisan 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, c. 3, sy. 1, 2015, ss. 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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