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تسجيل مستخدم جديدKdV equation beyond standard assumptions on initial data
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Alexei Rybkin
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We show that the Cauchy problem for the KdV equation can be solved by the inverse scattering transform (IST) for any initial data bounded from below, decaying sufficiently rapidly at plus infinity, but unrestricted otherwise. Thus our approach doesnt require any boundary condition at minus infinity.
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