Summary
Using the method of inverse scattering, the sup-norms of the solutions of the Davey—Stewartson II equations are shown to decay in the order of 1/¦t¦ as ¦t¦ goes to infinity. In the focusing case this result is obtained for small initial data, whereas in the defocusing case it is obtained for general initial data.
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Communicated by Thanasis Fokas
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Sung, L.Y. Long-time decay of the solutions of the Davey—Stewartson II equations. J Nonlinear Sci 5, 433–452 (1995). https://doi.org/10.1007/BF01212909
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DOI: https://doi.org/10.1007/BF01212909