An extended Korteweg-de Vries equation: multi-soliton solutions and conservation laws

Yildirim Y., YAŞAR E.

NONLINEAR DYNAMICS, cilt.90, sa.3, ss.1571-1579, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 90 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11071-017-3749-x
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1571-1579
  • Anahtar Kelimeler: Extended KdV equation, Exact solutions, Conservation laws, NONLINEAR EVOLUTION, SIMPLEST EQUATION, WAVE SOLUTIONS, TANH METHOD, COMPUTATION
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we consider an extended KdV equation, which arises in the analysis of several problems in soliton theory. First, we converted the underlying equation into the Hirota bilinear form. Then, using the novel test function method, abundant multi-soliton solutions were obtained. Second, we have performed some distinct methods to extended KdV equation for getting some exact wave solutions. In this regard, Kudryashov's simplest equation methods were examined. Third, the local conservation laws are deduced by multiplier/homotopy methods. Finally, the graphical simulations of the exact solutions are depicted.