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A new solution for classical monochromatic short-crested waves in finite water depth is presented by including the ambient uniform currents. With the aid of the original classical solution, we obtain a complete solution and show a variety of interaction mechanisms for the second-and third-order solution structures.
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Keywords:
- monochromatic short-crested waves /
- complete solution /
- uniform current /
- finite water depth
[1] ［1］Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179
[2] ［2］Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing, Berlin: Higher Education Press, Springer)
[3] ［3］Robert A J 1983 J. Fluid Mech. 135 301
[4] ［4］Ioualalen M, Okamura M, Cornier S, Kharif C, Roberts A J 2006 J. Waterway Port Coas. Ocean Eng. 132 157
[5] ［5］Fuhrman D R，Madsen P A 2006 J. Fluid Mech. 559 391
[6] ［6］Marchant T R, Robert A J 1987 J. Aust. Math. Soc. B 29 103
[7] ［7］Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech.B 18 889
[8] ［8］Huang H 2008 Chin. Sci. Bull. 53 3267
[9] ［9］Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) ［黄虎 2009 物理学报 58 3655］
[10] ］Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369
[11] ］Huang H 2009 Acta Phys. Sin. 58 6761 (in Chinese) ［黄虎 2009 物理学报 58 6761］
[12] ］Alatancang, Hou G L 2008 Chin. Phys. B 17 2753
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[1] ［1］Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179
[2] ［2］Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing, Berlin: Higher Education Press, Springer)
[3] ［3］Robert A J 1983 J. Fluid Mech. 135 301
[4] ［4］Ioualalen M, Okamura M, Cornier S, Kharif C, Roberts A J 2006 J. Waterway Port Coas. Ocean Eng. 132 157
[5] ［5］Fuhrman D R，Madsen P A 2006 J. Fluid Mech. 559 391
[6] ［6］Marchant T R, Robert A J 1987 J. Aust. Math. Soc. B 29 103
[7] ［7］Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech.B 18 889
[8] ［8］Huang H 2008 Chin. Sci. Bull. 53 3267
[9] ［9］Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) ［黄虎 2009 物理学报 58 3655］
[10] ］Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369
[11] ］Huang H 2009 Acta Phys. Sin. 58 6761 (in Chinese) ［黄虎 2009 物理学报 58 6761］
[12] ］Alatancang, Hou G L 2008 Chin. Phys. B 17 2753
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