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

作者：Yildirim Yakup; Yasar Emrullah; Adem Abdullahi Rashid^*

来源：Nonlinear Dynamics, 2017, 89(3): 2291-2297.

DOI：10.1007/s11071-017-3588-9

• The three model equations of shallow water waves
• Multiple exp-function method
• Multiple wave solutions

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.

• 出版日期2017-8
• 单位西北大学