A new solitary wave solution for water waves with surface tension |
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Authors: | S M Sun M C Shen |
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Institution: | (1) Present address: Department of Mathematics and Center for Mathematical Sciences, University of Wisconsin, 53706 Madison, WI |
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Abstract: | In this paper we show that when the Froude number is less than but close to 1 and the Bond number is greater than but close to 1/3 there exists a new solitary wave solution for surface waves on water with surface tension. An approximate expression for the new solitary wave solution, which satisfies a fourth order ordinary differential equation and represents a wave of depression is presented. |
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