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VOL. 64 | 2015 Mathematical, numerical and experimental study of solitary waves
Jeongwhan Choi, Dal-Soo Lee, Sangho Oh, Shu-Ming Sun, Sung-Im Whang

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi


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.


Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.76014
MathSciNet: MR3381211

Digital Object Identifier: 10.2969/aspm/06410263

Primary: 76B15, 76B25

Rights: Copyright © 2015 Mathematical Society of Japan


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