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

Yildirim Y., YAŞAR E., Adem A. R.

NONLINEAR DYNAMICS, vol.89, no.3, pp.2291-2297, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1007/s11071-017-3588-9
  • Journal Name: NONLINEAR DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2291-2297
  • Keywords: 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 Uludag University Affiliated: Yes

Abstract

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.