Abstract
Bu çalışmada, lineer olmayan Drinfeld-Sokolov denklem sistemi ve Modifiye-Benjamin-Bona-Mahony
denkleminin pertürbatif çözümleri, homotopi pertürbasyon yöntemi kullanılarak elde edilmiştir. Denklemlerin
pertürbatif çözümleri için üç iterasyon yapılmıştır. Birinci iterasyonlar kullanılarak her iki denklem için de basit
dallanma noktaları hesaplanmıştır. İkinci iterasyonlar için basit dallanma noktasının yalnızca Drinfeld-Sokolov
denklem sisteminde olduğu görülmüştür.
Keywords
Homotopi Pertürbasyon Yöntemi Drinfeld-Sokolov denklem sistemi modifiye Benjamin Bona-Mahony denklemi
References
- GOKTAS, U. and HEREMAN, E., “Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations”, J. Symb. Comput., 24, 591-621, 1997.
- GURSES, M. and KARASU, A., “Integrable KdV Systems: Recursion Operators of Degree Four ”, Phys. Lett. A., 251, 247-249, 1999.
Abstract
In this paper, Drinfeld-Sokolov system of equation and Modify-Benjamin-Bona-Mahony equations are studied
perturbatively by using homotopy perturbation method. We made three iterations for the perturbative solutions
of these equations. The simple bifurcation points are calculated by using the first iterations for both equations.
The simple bifurcaton point is seen only in the Drinfeld-Sokolov system of equation for the second iteration.
Keywords
Homotopy perturbation method Drinfeld-Sokolov equation modify-Benjamin-Bona-Mahony equation
References
- GOKTAS, U. and HEREMAN, E., “Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations”, J. Symb. Comput., 24, 591-621, 1997.
- GURSES, M. and KARASU, A., “Integrable KdV Systems: Recursion Operators of Degree Four ”, Phys. Lett. A., 251, 247-249, 1999.
Details
| Journal Section | Others |
|---|---|
| Authors | |
| Publication Date | January 31, 2017 |
| Submission Date | May 13, 2016 |
| Acceptance Date | June 13, 2016 |
| Published in Issue | Year 2017 Volume: 6 Issue: 1 |