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Step soliton generalized solutions of the shallow water equations
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نویسنده
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alvarez a.c. ,meril a. ,valiño-alonso b.
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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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Generalized solutions of the shallow water equations are obtained. one studies the particular case of a generalized soliton function passing by a variable bottom. we consider a case of discontinuity in bottom depth. we assume that the surface elevation is given by a step soliton which is defined using generalized solutions (colombeau 1993). finally,a system of functional equations is obtained where the amplitudes and celerity of wave are the unknown parameters. numerical results are presented showing that the generalized solution produces good results having physical sense. copyright © 2012 a. c. alvarez et al.
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آدرس
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department of fluid dynamic,impa,dona castorina 110,jardin botanico,22460-320 rio de janeiro,rj,brazil,oceanology institute,environmental agency,avenida primera,18406,flores,playa, Cuba, laboratoire aoc,université des antilles et de la guyane,campus de fouillole, Guadeloupe, departamento de matemáticas,facultad de matemáticas y computación,universidad de la habana,san lázaro esq. a l, Cuba
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Authors
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