刊名:Communications in Nonlinear Science and Numerical Simulation
出版年:2017
出版时间:May 2017
年:2017
卷:46
期:Complete
页码:37-48
全文大小:1191 K
文摘
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The derivation of the nonlinear, dispersive Boussinesq equations under discussion deviates from the work done in the literature, even when the same assumptions and approximations have been employed.
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Six local and seven non local conservation laws for the s2.0-S1007570416303549&_mathId=si1.gif&_user=111111111&_pii=S1007570416303549&_rdoc=1&_issn=10075704&md5=d7551d86b07375809bd345f3f6ddad83" title="Click to view the MathML source">(1+1)D linearized Boussinesq equations are obtained.
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Four conserved quantities are obtained using a systematic multiplier approach with four conserved densities matching existing classical wave theory literature.
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One of these conserved quantities has not been directly commented on in the literature and relates to an energy flux density.
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A new conserved density is obtained which we as yet cannot relate to any known physical quantities.
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