Lineer olmayan kısmi türevli diferensiyel denklemlerin tam çözümleri
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Niğde Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Bu tez çalışmasında, lineer olmayan Modifiye-Benjamin-Bona-Mahoni, Modifiye- Korteveg-de Vries, Drinfeld-Sokolov kısmi türevli diferansiyel denklemlerinin analitik çözümleri -açılım metodu, direkt cebirsel metot, -açılım metodunun yeni formu kullanılarak elde edilmiştir. Kullanılan bu metotlar arasındaki ilişkiler açıkça ortaya konulmuş, elde edilen çözümlerin karşılaştırmaları yapılarak, literatürde olmayan yeni çözümler verilmiştir.Anahtar Kelimeler: -açılım metodu, direkt cebirsel metot, -açılım metodunun yeni formu, Modifiye-Benjamin-Bona-Mahoni, Modifiye-Korteveg-de Vries, Drinfeld-Sokolov.
n this thesis, nonlinear Modifiye-Benjamin-Bona-Mahoni, Modifiye-Korteveg-de Vries, Drinfeld-Sokolov equations are solved by using the -expantions, direct algebraic, new form of -expantions methods. Our solutions are reduced to the well known solutions in the literature when assinging some special values to the various constant in the solutions of these equations. Additionally, it is observed that there is a close reletionship between -expantions, direct algebraic, new form of -expantions methods under the some special cases of constant in solutions of the equations.Keywords: -expantions, direct algebraic, new form of -expantions methods, Modifiye-Benjamin-Bona-Mahoni, Modifiye-Korteveg-de Vries, Drinfeld-Sokolov.
n this thesis, nonlinear Modifiye-Benjamin-Bona-Mahoni, Modifiye-Korteveg-de Vries, Drinfeld-Sokolov equations are solved by using the -expantions, direct algebraic, new form of -expantions methods. Our solutions are reduced to the well known solutions in the literature when assinging some special values to the various constant in the solutions of these equations. Additionally, it is observed that there is a close reletionship between -expantions, direct algebraic, new form of -expantions methods under the some special cases of constant in solutions of the equations.Keywords: -expantions, direct algebraic, new form of -expantions methods, Modifiye-Benjamin-Bona-Mahoni, Modifiye-Korteveg-de Vries, Drinfeld-Sokolov.
Açıklama
Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalı
Anahtar Kelimeler
Matematik, Mathematics
