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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika

TMF, 1989, Volume 81, Number 1, Pages 3–11 (Mi tmf5261)

Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type
R. F. Bikbaev

This publication is cited in the following articles:
  1. A. B. Khasanov, T. G. Hasanov, “The cauchy problem for the nonlinear complex modified Korteweg-de Vries equation with additional terms in the class of periodic infinite-gap functions”, Siberian Math. J., 65:4 (2024), 846–868  mathnet  crossref  crossref
  2. Thierry Laurens, “Global Well-Posedness for $H^{-1}(\mathbb {R})$ Perturbations of KdV with Exotic Spatial Asymptotics”, Commun. Math. Phys., 397:3 (2023), 1387  crossref
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  4. U. B. Muminov, A. B. Khasanov, “Zadacha Koshi dlya defokusiruyuschego nelineinogo uravneniya Shredingera s nagruzhennym chlenom”, Matem. tr., 25:1 (2022), 102–133  mathnet  crossref
  5. U. B. Muminov, A. B. Khasanov, “The Cauchy Problem for the Defocusing Nonlinear Schrödinger Equation with a Loaded Term”, Sib. Adv. Math., 32:4 (2022), 277  crossref
  6. Abdelkrim Bendahmane, Gang Xu, Matteo Conforti, Alexandre Kudlinski, Arnaud Mussot, Stefano Trillo, “The piston Riemann problem in a photon superfluid”, Nat Commun, 13:1 (2022)  crossref
  7. M. Bertola, A. Minakov, “Laguerre polynomials and transitional asymptotics of the modified Korteweg–de Vries equation for step-like initial data”, Anal.Math.Phys., 9:4 (2019), 1761  crossref
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  13. G.A. El, V.V. Geogjaev, A.V. Gurevich, A.L. Krylov, “Decay of an initial discontinuity in the defocusing NLS hydrodynamics”, Physica D: Nonlinear Phenomena, 87:1-4 (1995), 186  crossref
  14. B. M. Levitan, A. B. Khasanov, “Estimation of the Cauchy function for finite-zone nonperiodic potentials”, Funct. Anal. Appl., 26:2 (1992), 91–98  mathnet  crossref  mathscinet  zmath  isi
  15. R. F. Bikbaev, “Finite-gap attractors and transition processes of the shock wave type in integrable systems”, J. Math. Sci., 77:2 (1995), 3033–3041  mathnet  mathnet  crossref


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