Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation

Triki H., AK T., EKİCİ M., SÖNMEZOĞLU A., Mirzazadeh M., Kara A. H., ...Daha Fazla

NONLINEAR DYNAMICS, cilt.89, sa.1, ss.501-508, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11071-017-3467-4
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.501-508
  • Anahtar Kelimeler: P-KdV equation, Kudryashov method, Sine-cosine method, Conservation laws, FINDING EXACT-SOLUTIONS, SUB-ODE METHOD, KDV EQUATIONS, MKDV EQUATION, COUPLED KDV, SOLITONS, EVOLUTION
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

The potential Korteweg-de Vries equation is investigated by using the sine-cosine method and generalized Kudryashov method. A variety of exact wave solutions that contain shock solutions, periodic solutions and solitons solutions are formally derived. Also, conservation laws of the equation is determined by using the multiplier approach. In addition, the restrictions on the physical parameters of obtained solutions are presented.