Travelling wave solutions of two-dimensional Korteweg-de Vries-Burgers and Kadomtsev-Petviashvili equations

Estevez, P.; KURU, ŞENGÜL; Negro, J.; Nieto, L.

doi:10.1088/0305-4470/39/37/007

Travelling wave solutions of two-dimensional Korteweg-de Vries-Burgers and Kadomtsev-Petviashvili equations

Atıf İçin Kopyala

Estevez P. G., KURU Ş., Negro J., Nieto L. M.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, sa.37, ss.11441-11452, 2006 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 39 Sayı: 37
Basım Tarihi: 2006
Doi Numarası: 10.1088/0305-4470/39/37/007
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.11441-11452
Ankara Üniversitesi Adresli: Evet

Özet

The travelling wave solutions of the two-dimensional Korteweg-de Vries-Burgers and Kadomtsev-Petviashvili equations are studied from two complementary points of view. The first one is an adaptation of the factorization technique that provides particular as well as general solutions. The second one applies the Painleve analysis to both equations, throwing light on some aspects of the first method and giving an explanation to some restriction on the coefficients, as well as the relation between factorizations and integrals of motion.