Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up
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DOI: 10.1007/s00208-022-02396-7
Abstract: In the first part of this work we study the local well-posedness of dispersive equations in the weighted spaces H(R) ∩ L(|x|dx). We then apply our results for several dispersive models such as the Hirota-Satsuma… read more here.
Keywords: weighted sobolev; dispersive blow; dispersive equations; local well ... See more keywords
Finite Element Methods for a System of Dispersive Equations
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DOI: 10.1007/s10915-018-0767-x
Abstract: The present study is concerned with the numerical approximation of periodic solutions of systems of Korteweg–de Vries type, coupled through their nonlinear terms. We construct, analyze and numerically validate two types of schemes that differ… read more here.
Keywords: finite element; system; dispersive equations; methods system ... See more keywords