A multiple exp-function method for the three model equations of shallow water waves

Yildirim Y., YAŞAR E., Adem A. R.

NONLINEAR DYNAMICS, cilt.89, sa.3, ss.2291-2297, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11071-017-3588-9
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2291-2297
  • Anahtar Kelimeler: The three model equations of shallow water waves, Multiple exp-function method, Multiple wave solutions, HIROTA 3-SOLITON CONDITION, TANH-COTH METHOD, SOLITON-SOLUTIONS, BILINEAR EQUATIONS, FUNCTION ALGORITHM, SEARCH, KP
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this study, we consider three model equations of shallow water waves. Shallow water equations model the propagation of strongly nonlinear waves up to breaking and run-up in nearshore zones. We perform multiple exp-function method which is known as a generalization of Hirota's perturbation scheme. We yield one-, two-, and three-wave solutions. The obtained solutions can be used as benchmarks for numerical solutions of the underlying equations.