The patterns of traveling wave on shallow water modeled by Green-Naghdi equation
Keyword(s):
The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and the Complete discrimination system for the polynomial we obtained the classification of travelling wave patterns. Among those patterns, new singular patterns and double periodic patterns are obtained in the first time. And we draw the graphs which help us to understand the dynamics behaviors of the Green-Naghdi model intuitionally.
2019 ◽
Vol 35
(07)
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pp. 2050028
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2018 ◽
Vol 15
(03)
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pp. 1850017
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2003 ◽
Vol 15
(3)
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pp. 559-566
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2002 ◽
Vol 301
(1-2)
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pp. 74-82
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2018 ◽
Vol 29
(3)
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pp. 993-1039
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2021 ◽
Vol 33
(2)
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pp. 101276
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2017 ◽
Vol 132
(1)
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