VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD

Volume: 4 Number: 2 June 1, 2012
  • Y. Ugurlu
  • I.E. Inan
EN

VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD

Abstract

In this paper, we implemented a direct algebraic method for the exact solutions of the Liouville equation, DoddBullough-Mikhailov equations. By using this method, we find several exact solutions of the Liouville equation, Dodd-Bullough-Mikhailov equations

Keywords

References

  1. Debtnath,L., Nonlinear Partial Differential Equations for Scientist and Engineers, Birkhauser, Boston, MA, 1997.
  2. Wazwaz,A.M. Partial Differential Equations: Methods and Applications, Balkema, Rotterdam, 2002.
  3. Hereman,W.,Banerjee,P.P.,Korpel,A.,Assanto,G.,van Immerzeele, A. andMeerpoel,A., Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method, J. Phys. A: Math. Gen. 19,607-628, 1986.
  4. Khater,A.H.,Helal,M.A.,El-Kalaawy,O.H., Backlund transformations: exact solutions for the KdV and the Calogero - Degasperis-FokasmKdV equations, Math. Methods Appl. Sci. ,719-731,1998.
  5. Wazwaz,A.M., A study of nonlinear dispersive equations with solitary-wave solutions having compact support, Math. Comput.Simulation 56,269-276, 2001.
  6. Elwakil,S.A.,El-Labany, S.K.,Zahran,M.A.,Sabry,R., Modified extended tanh-function method for solving nonlinear partial differential equations, Phys. Lett. A 299,179-188,2002.
  7. Lei,Y.,Fajiang,Z.,Yinghai,W., The homogeneous balance method, Lax pair, Hirota transformation and a generalfifth-orderKdVequation, Chaos, Solitons& Fractals 13 337- ,2002.
  8. Zhang,J.F., New exactsolitarywavesolutionsofthe KS equation, Int. J. Theor. Phys., ,1829-1834,1999.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Y. Ugurlu This is me

I.E. Inan This is me

Publication Date

June 1, 2012

Submission Date

June 1, 2012

Acceptance Date

-

Published in Issue

Year 2012 Volume: 4 Number: 2

APA
Ugurlu, Y., & Inan, I. (2012). VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD. International Journal of Engineering and Applied Sciences, 4(2), 26-34. https://izlik.org/JA69FP87BU
AMA
1.Ugurlu Y, Inan I. VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD. IJEAS. 2012;4(2):26-34. https://izlik.org/JA69FP87BU
Chicago
Ugurlu, Y., and I.E. Inan. 2012. “VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD”. International Journal of Engineering and Applied Sciences 4 (2): 26-34. https://izlik.org/JA69FP87BU.
EndNote
Ugurlu Y, Inan I (June 1, 2012) VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD. International Journal of Engineering and Applied Sciences 4 2 26–34.
IEEE
[1]Y. Ugurlu and I. Inan, “VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD”, IJEAS, vol. 4, no. 2, pp. 26–34, June 2012, [Online]. Available: https://izlik.org/JA69FP87BU
ISNAD
Ugurlu, Y. - Inan, I.E. “VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD”. International Journal of Engineering and Applied Sciences 4/2 (June 1, 2012): 26-34. https://izlik.org/JA69FP87BU.
JAMA
1.Ugurlu Y, Inan I. VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD. IJEAS. 2012;4:26–34.
MLA
Ugurlu, Y., and I.E. Inan. “VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD”. International Journal of Engineering and Applied Sciences, vol. 4, no. 2, June 2012, pp. 26-34, https://izlik.org/JA69FP87BU.
Vancouver
1.Y. Ugurlu, I.E. Inan. VARIOUS EXACT SOLUTIONS OF SOME NONLINEAR EQUATIONS BY A DIRECT ALGEBRAIC METHOD. IJEAS [Internet]. 2012 Jun. 1;4(2):26-34. Available from: https://izlik.org/JA69FP87BU

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