Analytic treatment of nonlinear evolution equations using first integral method

Bekir A., ÜNSAL Ö.

PRAMANA-JOURNAL OF PHYSICS, cilt.79, sa.1, ss.3-17, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 79 Sayı: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s12043-012-0282-9
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3-17
  • Anahtar Kelimeler: Exact solutions, first integral method, combined KdV-mKdV equation, Pochhammer-Chree equation, coupled nonlinear evolution equations, TRAVELING-WAVE SOLUTIONS, POCHHAMMER-CHREE EQUATIONS, MULTIPLE-SOLITON SOLUTIONS, HOMOGENEOUS BALANCE METHOD, EXP-FUNCTION METHOD, KDV-MKDV EQUATION, DE-VRIES EQUATION, (G'/G)-EXPANSION METHOD, TANH METHOD, MATHEMATICAL PHYSICS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we show the applicability of the first integral method to combined KdV-mKdV equation, Pochhammer-Chree equation and coupled nonlinear evolution equations. The power of this manageable method is confirmed by applying it for three selected nonlinear evolution equations. This approach can also be applied to other nonlinear differential equations.