Publication: A multiple exp-function method for the three model equations of shallow water waves
Date
Authors
Yıldırım, Yakup
Yaşar, Emrullah
Authors
Adem, Abdullahi Rashid
Advisor
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Springer
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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.
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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.