Degenerate Riemann theta functions, Fredholm and wronskian representations of the solutions to the KdV equation and the degenerate rational case
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DOI: 10.1016/j.geomphys.2020.104059
Abstract: Abstract We degenerate the finite gap solutions of the KdV equation from the general formulation given in terms of abelian functions when the gaps tend to points, to get solutions to the KdV equation given… read more here.
Keywords: theta functions; riemann theta; degenerate; solutions kdv ... See more keywords
Inverted Solutions of KdV-Type and Gardner Equations
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DOI: 10.12693/aphyspola.140.445
Abstract: In most of the studies concerning nonlinear wave equations of Korteweg-de Vries type, the authors focus on waves of elevation. Such waves have general form uu(x, t) = Af(x−vt), where A > 0. In this… read more here.
Keywords: type gardner; kdv type; inverted solutions; gardner equations ... See more keywords