Research Article

Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation

Volume: 8 Number: 2 November 1, 2011
  • Yavuz Uğurlu *
  • Doğan Kaya
  • İbrahim E. İnan
EN

Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation

Abstract

We implement the generalized Jacobi elliptic function method with symbolic computation to construct periodic solutions for the symmetric regularized long wave (SRLW) equation and (1+1)-dimensional dispersive long wave equation.

Keywords

References

  1. [1] E. J. Parkes and B. R. Duffy, An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations, Computer Physics Communications 98 (1996), 288–300.
  2. [2] E. Fan, Extended tanh-function method and its applications to nonlinear equations, Physics Letters A 277 (2000), 212–218.
  3. [3] S. A. Elwakil, S. K. El-labany, M. A. Zahran and R. Sabry, Modified extended tanh-function method for solving nonlinear partial differential equations, Physics Letters A 299 (2002), 179–188.
  4. [4] X. Zheng, Y. Chen and H. Zhang, Generalized extended tanh-function method and its application to (1+1)-dimensional dispersive long wave equation, Physics Letters A 311 (2003), 145–157.
  5. [5] Z. Fu, S. Liu, S. Liu and Q. Zhao, New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations, Physics Letters A 290 (2001), 72–76.
  6. [6] Y. Chen, Q. Wang and B. Li, Jacobi elliptic function rational expansion method with symbolic computation to construct new doubly periodic solutions of nonlinear evolution equations, Zeitschrift fur Naturforschung A 59 (2004), 529–536.
  7. [7] Y. Chen and Z. Yan, The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations, Chaos, Solitons & Fractals 29 (2006), 948–964.
  8. [8] J. H. He and X. H. Wu, Exp-function method for nonlinear wave equations, Chaos, Solitons & Fractals 30 (2006), 700–708.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Yavuz Uğurlu * This is me

Doğan Kaya This is me

İbrahim E. İnan This is me

Publication Date

November 1, 2011

Submission Date

November 1, 2011

Acceptance Date

-

Published in Issue

Year 2011 Volume: 8 Number: 2

APA
Uğurlu, Y., Kaya, D., & İnan, İ. E. (2011). Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation. Cankaya University Journal of Science and Engineering, 8(2). https://izlik.org/JA55ZH43XC
AMA
1.Uğurlu Y, Kaya D, İnan İE. Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation. CUJSE. 2011;8(2). https://izlik.org/JA55ZH43XC
Chicago
Uğurlu, Yavuz, Doğan Kaya, and İbrahim E. İnan. 2011. “Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation”. Cankaya University Journal of Science and Engineering 8 (2). https://izlik.org/JA55ZH43XC.
EndNote
Uğurlu Y, Kaya D, İnan İE (November 1, 2011) Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation. Cankaya University Journal of Science and Engineering 8 2
IEEE
[1]Y. Uğurlu, D. Kaya, and İ. E. İnan, “Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation”, CUJSE, vol. 8, no. 2, Nov. 2011, [Online]. Available: https://izlik.org/JA55ZH43XC
ISNAD
Uğurlu, Yavuz - Kaya, Doğan - İnan, İbrahim E. “Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation”. Cankaya University Journal of Science and Engineering 8/2 (November 1, 2011). https://izlik.org/JA55ZH43XC.
JAMA
1.Uğurlu Y, Kaya D, İnan İE. Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation. CUJSE. 2011;8. Available at https://izlik.org/JA55ZH43XC.
MLA
Uğurlu, Yavuz, et al. “Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation”. Cankaya University Journal of Science and Engineering, vol. 8, no. 2, Nov. 2011, https://izlik.org/JA55ZH43XC.
Vancouver
1.Yavuz Uğurlu, Doğan Kaya, İbrahim E. İnan. Generalized Jacobi Elliptic Function Method for Periodic Wave Solutions of SRLW Equation and (1+1)-Dimensional Dispersive Long Wave Equation. CUJSE [Internet]. 2011 Nov. 1;8(2). Available from: https://izlik.org/JA55ZH43XC