Citation:
A. V. Kitaev, “Self-similar solutions of the modified nonlinear Schrödinger equation”, TMF, 64:3 (1985), 347–369; Theoret. and Math. Phys., 64:3 (1985), 878–894
This publication is cited in the following 19 articles:
Saburo Kakei, “Hirota bilinear approach to GUE, NLS, and Painlevé IV”, NOLTA, 7:3 (2016), 324
Reeger J.A., Fornberg B., “Painlevé IV: a Numerical Study of the Fundamental Domain and Beyond”, Physica D, 280 (2014), 1–13
D. Dai, A. B. J. Kuijlaars, “Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight”, Stud Appl Math, 122:1 (2009), 29
A H Sakka, “Linear problems and hierarchies of Painlevé equations”, J. Phys. A: Math. Theor., 42:2 (2009), 025210
Jeffery C. DiFranco, Peter D. Miller, “The semiclassical modified nonlinear Schrödinger equation I: Modulation theory and spectral analysis”, Physica D: Nonlinear Phenomena, 237:7 (2008), 947
Joshi, N, “On the linearization of the Painlevé III-VI equations and reductions of the three-wave resonant system”, Journal of Mathematical Physics, 48:10 (2007), 103512
Arthur H Vartanian, “Higher order asymptotics of the modified non-linear schrödinger equation”, Communications in Partial Differential Equations, 25:5-6 (2000), 1043
Alexander R Its, Andrei A Kapaev, “Connection formulae for the fourth Painlevé transcendent; Clarkson-McLeod solution”, J. Phys. A: Math. Gen., 31:17 (1998), 4073
V. L. Vereshchagin, “Global asymptotic formulae for the fourth Painleve transcendent”, Sb. Math., 188:12 (1997), 1739–1760
A V Kitaev, A H Vartanian, “Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: solitonless sector”, Inverse Problems, 13:5 (1997), 1311
Alice E Milne, Peter A Clarkson, Andrew P Bassom, “Application of the isomonodromy deformation method to the fourth Painlevé equation”, Inverse Problems, 13:2 (1997), 421
Andrew P. Bassom, Peter A. Clarkson, Andrew C. Hicks, “Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation”, Stud Appl Math, 95:1 (1995), 1
A R Its, A S Fokas, A A Kapaev, “On the asymptotic analysis of the Painleve equations via the isomonodromy method”, Nonlinearity, 7:5 (1994), 1291
P. A. Clarkson, J. B. McLeod, NATO ASI Series, 278, Painlevé Transcendents, 1992, 1
A. R. Its, NATO ASI Series, 278, Painlevé Transcendents, 1992, 49
Martin D. Kruskal, Peter A. Clarkson, “The Painlevé‐Kowalevski and Poly‐Painlevé Tests for Integrability”, Stud Appl Math, 86:2 (1992), 87
A. R. Its, A. V. Kitaev, A. S. Fokas, “Matrix models of two-dimensional quantum gravity and isomonodromy solutions of “discrete Painleve equations””, J. Math. Sci., 73:4 (1995), 415–429
Peter A. Clarkson, “New exact solutions of the Boussinesq equation”, Eur. J. Appl. Math, 1:3 (1990), 279
A. V. Kitaev, “The isomonodromic deformations and similarity solutions of the Einstein–Maxwell equations”, J. Soviet Math., 62:2 (1992), 2646–2663