Current Search: Hilton, William (x)
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Title
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A relation of a discovery lately made on the coast of Florida: (From lat. 31. to 33 deg. 45 min. north-lat.).
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Creator
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Hilton, William, Long, Anthony, Fabian, Peter, PALMM (Project)
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Abstract / Description
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This expedition first visited the neighborhood of Port Royal, then sailed northeastward along the South Carolina coast, concluding with a careful exploration of Cape Fear River., Includes the relation of the expedition, various letters by William Hilton and Captain Alanso Arguiles, as well as proposals concerning the disposition of land to settlers of the region explored by Hilton.
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Date Issued
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1664
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Identifier
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AAA3450QF00001/11/200208/04/200516308BfamIa D0QF, FHP C CF 2002-01-11, FCLA url 20020220xOCLC, 49296913, CF00001565, 2560070, ucf:8229
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Format
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E-book
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PURL
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http://purl.flvc.org/fcla/dl/CF00001565.jpg
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Title
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Analytical and Numerical Investigations of the Kudryashov Generalized KdV Equation.
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Creator
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Hilton, William, Schober, Constance, Moore, Brian, Choudhury, Sudipto, University of Central Florida
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Abstract / Description
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This thesis concerns an analytical and numerical study of the Kudryashov Generalized Korteweg-de Vries (KG KdV) equation. Using a refined perturbation expansion of the Fermi-Pasta-Ulam (FPU) equations of motion, the KG KdV equation, which arises at sixth order, and general higher order KdV equations are derived. Special solutions of the KG KdV equation are derived using the tanh method. A pseudospectral integrator, which can handle stiff equations, is developed for the higher order KdV...
Show moreThis thesis concerns an analytical and numerical study of the Kudryashov Generalized Korteweg-de Vries (KG KdV) equation. Using a refined perturbation expansion of the Fermi-Pasta-Ulam (FPU) equations of motion, the KG KdV equation, which arises at sixth order, and general higher order KdV equations are derived. Special solutions of the KG KdV equation are derived using the tanh method. A pseudospectral integrator, which can handle stiff equations, is developed for the higher order KdV equations. The numerical experiments indicate that although the higher order equations exhibit complex dynamics, they fail to reach energy equipartition on the time scale considered.
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Date Issued
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2018
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Identifier
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CFE0007754, ucf:52395
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Format
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Document (PDF)
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PURL
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http://purl.flvc.org/ucf/fd/CFE0007754