- 作者：Cindy Carvalho <sup>cindy.carvalho28@gmail.com" class="auth_mail" title="E-mail the corresponding authorsup> ; Charis Harley<sup> ; sup><sup>charis.harley@wits.ac.za" class="auth_mail" title="E-mail the corresponding authorsup>
- 关键词：Boussinesq equations ; Conservation laws ; Conserved quantities
- 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
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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 <span id="mmlsi1" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-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)span><span class="mathContainer hidden"><span class="mathCode">span>span>span>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.