Quasi-potential Method to Study Nonlinear Surface Shallow Water
Waves |
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| Authors: | DUAN Wen-Shan and DOU Fu-Quan |
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| Institution: | Department of Physics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using the potential method and the perturbation method
under the condition of small amplitude and
shallow water waves, we analytically get
the KdV-type equation for a viscous shallow water. It indicates that
for one soliton-like solution, its amplitude will decrease
as it propagates away due to the viscous effects of water. |
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| Keywords: | shallow water wave solitary potential |
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