NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION

Volume: 01 Number: 1 June 1, 2011
  • Jalil Rashidinia
  • Ali Barati
EN

NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION

Abstract

In this paper, based on the Exp-function method and mathematical derivation, we obtain several explicit and exact traveling wave solutions for the PIB equation.

Keywords

References

  1. Ablowitz, M.J. and Segur, H., (1981), Soliton and the inverse scattering transformation, SIAM, Philadelphia, PA.
  2. He, J.H., (1999), Variational iteration method-a kind of non-linear analytical technique: some examples. Int. J. Non-linear Mech. 34 (4), 699-708.
  3. He, J.H., (2006), New interpretation of homotopy perturbation method. Int. J. Mod. Phys. B 20 (18), 2561-2568.
  4. He, J.H., (2005), Application of homotopy perturbation method to nonlinear wave equations, Chaos, Solitons and Fractals 26(3), 695-700.
  5. He, J.H., (2005), Homotopy perturbation method for bifurcation of nonlinear problems. Int. J. Nonlin- ear Sci. Numer. Simul. 6 (2), 207-208.
  6. Wadati, M., (1975), Wave propagation in nonlinear lattice, I, J. Phys. Soc. Jpn. 38, 673-680.
  7. Wang, D.S. and Zhang, H.Q., (2005), Auto-Backlund transformation and new exact solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equation, Int. J. Mod. Phys. C 16(3), 393.
  8. Wazwaz, A.M., (2005), The tanh method: solitons and periodic solutions for the Dodd-Bullough- Tzikhailov and the Tzitzeica-Dodd-Bullough equations, Chaos, Solitons and Fractals 25, 55-63.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Jalil Rashidinia This is me

Ali Barati This is me

Publication Date

June 1, 2011

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2011 Volume: 01 Number: 1

APA
Rashidinia, J., & Barati, A. (2011). NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION. TWMS Journal of Applied and Engineering Mathematics, 01(1), 35-40. https://izlik.org/JA66AE29BU
AMA
1.Rashidinia J, Barati A. NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION. JAEM. 2011;01(1):35-40. https://izlik.org/JA66AE29BU
Chicago
Rashidinia, Jalil, and Ali Barati. 2011. “NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION”. TWMS Journal of Applied and Engineering Mathematics 01 (1): 35-40. https://izlik.org/JA66AE29BU.
EndNote
Rashidinia J, Barati A (June 1, 2011) NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION. TWMS Journal of Applied and Engineering Mathematics 01 1 35–40.
IEEE
[1]J. Rashidinia and A. Barati, “NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION”, JAEM, vol. 01, no. 1, pp. 35–40, June 2011, [Online]. Available: https://izlik.org/JA66AE29BU
ISNAD
Rashidinia, Jalil - Barati, Ali. “NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION”. TWMS Journal of Applied and Engineering Mathematics 01/1 (June 1, 2011): 35-40. https://izlik.org/JA66AE29BU.
JAMA
1.Rashidinia J, Barati A. NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION. JAEM. 2011;01:35–40.
MLA
Rashidinia, Jalil, and Ali Barati. “NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION”. TWMS Journal of Applied and Engineering Mathematics, vol. 01, no. 1, June 2011, pp. 35-40, https://izlik.org/JA66AE29BU.
Vancouver
1.Jalil Rashidinia, Ali Barati. NEW APPROACH TO THE SOLUTIONS OF THE PIB EQUATION. JAEM [Internet]. 2011 Jun. 1;01(1):35-40. Available from: https://izlik.org/JA66AE29BU