Painleve analysis of the non-linear Schrodinger family of equations
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[1] G. Lamb. Bäcklund transformations for certain nonlinear evolution equations , 1974 .
[2] M. Ablowitz,et al. The Inverse scattering transform fourier analysis for nonlinear problems , 1974 .
[3] M. Kruskal,et al. Nonlinear wave equations , 1975 .
[4] Hiroshi Inoue,et al. Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions , 1978 .
[5] M. Ablowitz,et al. Nonlinear evolution equations and ordinary differential equations of painlevè type , 1978 .
[6] David J. Kaup,et al. An exact solution for a derivative nonlinear Schrödinger equation , 1978 .
[7] H. H. Chen,et al. Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method , 1979 .
[8] J. Sakai,et al. Inverse Method for the Mixed Nonlinear Schrödinger Equation and Soliton Solutions , 1979 .
[9] M. Wadati,et al. A Generalization of Inverse Scattering Method , 1979 .
[10] Kimiaki Konno,et al. New Integrable Nonlinear Evolution Equations , 1979 .
[11] M. Ablowitz,et al. A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II , 1980 .
[12] S. P. Hastings,et al. A boundary value problem associated with the second painlevé transcendent and the Korteweg-de Vries equation , 1980 .
[13] M. Wadati,et al. A New Integrable Nonlinear Evolution Equation , 1980 .
[14] 和達 三樹. M. J. Ablowitz and H. Segur: Solitons and the Inverse Scattering Transform, Society for Industrial and Applied Mathematics, Philadelphia, 1981, x+425ページ, 23.5×16.5cm, $54.40 (SIAM Studies in Applied Mathematics). , 1982 .
[15] Y. Ishimori. A Relationship between the Ablowitz-Kaup-Newell-Segur and Wadati-Konno-Ichikawa Schemes of the Inverse Scattering Method , 1982 .
[16] J. Weiss. THE PAINLEVE PROPERTY FOR PARTIAL DIFFERENTIAL EQUATIONS. II. BACKLUND TRANSFORMATION, LAX PAIRS, AND THE SCHWARZIAN DERIVATIVE , 1983 .
[17] M. Tabor,et al. The Painlevé property for partial differential equations , 1983 .
[18] P. Olver,et al. The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type , 1983 .
[19] A. Fordy,et al. The prolongation structures of quasi-polynomial flows , 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[20] Kiyoshi Sogo,et al. GAUGE TRANSFORMATIONS IN SOLITON THEORY , 1983 .
[21] Anjan Kundu,et al. Landau-Lifshitz and higher-order nonlinear systems gauge generated from nonlinear Schrödinger-type equations , 1984 .
[22] A. Fordy,et al. Prolongation structures of complex quasi-polynomial evolution equations , 1984 .
[23] D. Levi,et al. The Bäcklund transformations for nonlinear evolution equations which exhibit exotic solitons , 1984 .
[24] S. Kawamoto. An Exact Transformation from the Harry Dym Equation to the Modified KdV Equation , 1985 .