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Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation

✍ Scribed by A.H. Vartanian

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
492 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

The matrix Riemann-Hilbert factorization approach is used to derive the leading-order, exponentially small asymptotics as t --* +oo such that x/t ~ O(1) of solutions to the Cauchy problem for the defocusing nonlinear Schr6dinger equation, iOtu + 02xu -2([ul 2 -1)u = 0, with finite density initial data u(x, O) =~+oo exp(i(1 =}= 1)0/2)(1 + o(1)), 0 E [0, 21r).

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