Displacement shallow water internal solitary wave
Received:March 10, 2018  Revised:May 23, 2018
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DOI:10.7511/jslx20180310001
KeyWord:internal solitary wave  Lagrange coordinate  Hamilton principle
           
AuthorInstitution
吴锋 大连理工大学 工程力学系, 大连
姚征 大连海事大学 交通运输装备与海洋工程学院, 大连
孙雁 上海交通大学 船舶海洋与建筑工程学院, 上海
钟万勰 大连理工大学 工程力学系, 大连
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Abstract:
      Here it is addressed that the internal solitary wave in a water system,which consists of two layers of constant-density incompressible inviscid water.By using the Lagrange coordinate and Hamilton principle,an internal wave equation for shallow water displacement of the two-water system and the corresponding internal solitary displacement wave (DISW) are derived.The numerical tests show good agreement between the DISW and the classical KdV solitary wave,which means it is effective to use the Lagrange coordinate and Hamilton principle to analyze the internal wave problem,and thence a way to develop the symplectic method for it.