Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 263 - 271
Mathematical, numerical and experimental study of solitary waves
The note discusses the motion of solitary waves on the free surface of a layer of water. The rigorous results for the existence of solitary-wave solutions of exact governing equations are given. To generate such surface waves, a moving bump placed at the bottom or a pressure source on the free surface is used. A model equation, called forced Korteweg–de Vries (FKdV) equation, is numerically studied and multi- solitary- wave solutions are obtained. Then, the numerical solutions are compared with experimental results using a water tank with a moving bump at the bottom.
Received: 29 March 2012
First available in Project Euclid: 30 October 2018
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Choi, Jeongwhan; Lee, Dal-Soo; Oh, Sangho; Sun, Shu-Ming; Whang, Sung-Im. Mathematical, numerical and experimental study of solitary waves. Nonlinear Dynamics in Partial Differential Equations, 263--271, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06410263. https://projecteuclid.org/euclid.aspm/1540934222