NONLINEAR DYNAMICS, vol.89, no.3, pp.2291-2297, 2017 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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:
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.