A multiple exp-function method for the three model equations of shallow water waves
No Thumbnail Available
Date
2017-05-25
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
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.
Description
Keywords
Engineering, Mechanics, Multiple exp-function method, Shallow water waves, The three model equations of shallow water waves, Hirota 3-soliton condition, Tanh-coth method, Soliton-solutions, Bilinear equations, Function algorithm, Search, KP, Equations of motion, Nonlinear equations, Exp-function method, Multiple wave solutions, Near-shore zones, Numerical solution, Shallow water equations, Strongly nonlinear, Wave solution, Water waves
Citation
Yıldırım, Y. vd. (2017). ''A multiple exp-function method for the three model equations of shallow water waves''. Nonlinear Dynamics, 89(3), 2291-2297.