Exact solutions of fisher and generalized fisher equations with variable coefficients

Ogun, ARZU; Kart, Cevat

doi:10.1007/s10255-007-0395

Exact solutions of fisher and generalized fisher equations with variable coefficients

Ogun A., Kart C.

Acta Mathematicae Applicatae Sinica, cilt.23, sa.4, ss.563-568, 2007 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 23 Sayı: 4
Basım Tarihi: 2007
Doi Numarası: 10.1007/s10255-007-0395
Dergi Adı: Acta Mathematicae Applicatae Sinica
Derginin Tarandığı İndeksler: Scopus
Sayfa Sayıları: ss.563-568
Anahtar Kelimeler: nonlinear evolution equations, fisher equation, generalized fisher equation, backlund transformation, painleve property, PARTIAL-DIFFERENTIAL EQUATIONS, AUTO-BACKLUND TRANSFORMATION, PAINLEVE PROPERTY, EVOLUTION-EQUATIONS, LAX PAIRS
Ankara Üniversitesi Adresli: Evet

Özet

In this work, we consider a Fisher and generalized Fisher equations with variable coefficients. Using truncated Painlevé expansions of these equations, we obtain exact solutions of these equations with a constraint on the coefficients a(t) and b(t). © 2007 Springer-Verlag Berlin Heidelberg.