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A MODEL EQUATION AND ITS EXACT TWO DIMENSIONAL SOLITARY WAVE SOLUTIONS FOR WATER WAVE DYNAMICS
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HUANG Guoxiang;LOU Senyue;DAI Xianxi,YAN Jiaren* |
Department of Physics, Fudan University, Shanghai
*Department of Physics, Xiangtan University, Hunan |
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Cite this article: |
HUANG Guoxiang, LOU Senyue, DAI Xianxi et al 1989 Chin. Phys. Lett. 6 393-396 |
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Abstract Using the method of multiple scales and considering the nearly two-dimensional modulation of the waves when the dimensionless surface-tension coefficient τ of fluid is close to 1/3, we proposed a new model equation which we call the higher-order KP equation for water wave dgnamics. The exact and explicit two dimensional solitary wave solutions are also given.
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Keywords:
43.25.+y
47.35.+i
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Published: 01 September 1989
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