A multiple exp-function method for the three model equations of shallow water waves
NONLINEAR DYNAMICS, cilt.89, sa.3, ss.2291-2297, 2017 (SCI-Expanded, Scopus)
- 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.