Extended trial equation method to generalized nonlinear partial differential equations

Gurefe Y., MISIRLI E., SÖNMEZOĞLU A., EKİCİ M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.219, sa.10, ss.5253-5260, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 219 Sayı: 10
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.amc.2012.11.046
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5253-5260
  • Anahtar Kelimeler: Extended trial equation method, GIKdV equation, R(m, n) equation, Soliton solution, Elliptic solutions, TRAVELING-WAVE SOLUTIONS, EXP-FUNCTION METHOD, EVOLUTION-EQUATIONS, (G'/G)-EXPANSION METHOD, TANH METHOD, SOLITONS
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this article, we give the extended trial equation method for solving nonlinear partial differential equations with higher order nonlinearity. By use of this method, the exact traveling wave solutions including soliton solution, singular soliton solutions, rational function solution and elliptic integral function solution to one-dimensional general improved KdV (GIKdV) equation and R(m, n) equation are obtained. Also, a more general trial equation method is proposed. (C) 2012 Elsevier Inc. All rights reserved.