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Forced ILW-Burgers equation as a model for Rossby solitary waves generated by topography in finite depth fluids
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نویسنده
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yang h. ,yin b. ,shi y. ,wang q.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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The paper presents an investigation of the generation,evolution of rossby solitary waves generated by topography in finite depth fluids. the forced ilw- (intermediate long waves-) burgers equation as a model governing the amplitude of solitary waves is first derived and shown to reduce to the kdv- (korteweg-de vries-) burgers equation in shallow fluids and bo- (benjamin-ono-) burgers equation in deep fluids. by analysis and calculation,the perturbation solution and some conservation relations of the ilw-burgers equation are obtained. finally,with the help of pseudospectral method,the numerical solutions of the forced ilw-burgers equation are given. the results demonstrate that the detuning parameter α holds important implications for the generation of the solitary waves. by comparing with the solitary waves governed by ilw-burgers equation and bo-burgers equation,we can conclude that the solitary waves generated by topography in finite depth fluids are different from that in deep fluids. © 2012 hongwei yang et al.
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آدرس
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institute of oceanology,china academy of sciences,qingdao 266071,china,information school,shandong university of science and technology,qingdao 266590,china,graduate school,chinese academy of sciences,beijing 100049,china,key laboratory of ocean circulation and wave,chinese academy of sciences, China, institute of oceanology,china academy of sciences,qingdao 266071,china,key laboratory of ocean circulation and wave,chinese academy of sciences, China, information school,shandong university of science and technology, China, department of resource and civil engineering,shandong university of science and technology, China
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Authors
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