McCowan's Solitary Wave Expansions
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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In 1894 McCowan proposed that the structure of solitary waves be represented by a certain series expansion but he gave an estimate for only the first term of this expansion. Any truncation of such an expansion compromises the essential ideal of the steadiness of a solitary wave also, the approximations which he adopted might not be the best ones for the diverse particular purposes for which this wave may be used. In the paper a more precise structure of this wave is constructed by implementing McCowans expansion to higher orders. The coefficients in this expansion are determined by minimizing a certain reasonable measure of the imperfection of this expansion. This minimization is done by using the FNMIN subroutine.
- Fluid Mechanics