Geodesic
On the Riemann--Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schr\"odinger equation: Interacting fermion case
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 2, pp. 179-248

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We consider the local field dynamic temperature correlation function of the quantum nonlinear Schrödinger equation with a finite coupling constant. This correlation function admits a Fredholm determinant representation. The related operator-valued Riemann–Hilbert problem is used to analyze the leading term of the large time and distance asymptotic expansion of the correlation function. 
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     author = {A. R. Its and N. A. Slavnov},
     title = {On the {Riemann--Hilbert} approach to asymptotic analysis of the correlation functions of the quantum nonlinear {Schr\"odinger} equation: {Interacting} fermion case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {119},
     number = {2},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_2_a0/}
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A. R. Its; N. A. Slavnov. On the Riemann--Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schr\"odinger equation: Interacting fermion case. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 2, pp. 179-248. http://geodesic.mathdoc.fr/item/TMF_1999_119_2_a0/