Abstract
A higher-order approximation theory of internal solitary waves with a free surface is presented. Using the method of strained co-ordinates, the third-order approximation evolution equation of interface has been found. An analytic expression of the wave velocity is given. The evolution equation has been solved numerically. It is found that the effects of free surface on the shape and wave velocity of solitary wave are O(ε 2),and the third-order numerical solutions are closer to experimental data than the first- and second-order solutions.
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Communicated by Jiang Fu-ru
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Chin-fu, Z. Higher-order theory of internal solitary waves with a free surface in two-layer fluid system of finite depth. Appl Math Mech 8, 71–79 (1987). https://doi.org/10.1007/BF02014500
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DOI: https://doi.org/10.1007/BF02014500