Direct Methods in Soliton Theory (非線形現象の取扱いとその物理的課題に関する研究会報告)

[1]  Ryogo Hirota,et al.  Nonlinear Partial Difference Equations. : I. A Difference Analogue of the Korteweg-de Vries Equation , 1977 .

[2]  David J. Kaup,et al.  A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation , 1977 .

[3]  R. Hirota,et al.  Nonlinear Evolution Equations Generated from the Bäcklund Transformation for the Boussinesq Equation , 1977 .

[4]  John D. Gibbon,et al.  A new hierarchy of Korteweg–de Vries equations , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[5]  R. Hirota,et al.  N-Soliton Solutions of Model Equations for Shallow Water Waves , 1976 .

[6]  Junkichi Satsuma,et al.  N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation , 1976 .

[7]  Ryogo Hirota,et al.  A Variety of Nonlinear Network Equations Generated from the Bäcklund Transformation for the Toda Lattice , 1976 .

[8]  H. Moses.  A solution of the Korteweg–de Vries equation in a half‐space bounded by a wall , 1976 .

[9]  Ryogo Hirota,et al.  Direct method of finding exact solutions of nonlinear evolution equations , 1976 .

[10]  M. Wadati,et al.  Bäcklund Transformation for the Exponential Lattice , 1975 .

[11]  M. Wadati,et al.  Relationships among Inverse Method, Bäcklund Transformation and an Infinite Number of Conservation Laws , 1975 .

[12]  G. Lamb.  Bäcklund transformations for certain nonlinear evolution equations , 1974 .

[13]  M. Ablowitz,et al.  The Inverse scattering transform fourier analysis for nonlinear problems , 1974 .

[14]  Ryogo Hirota,et al.  A New Form of Bäcklund Transformations and Its Relation to the Inverse Scattering Problem , 1974 .

[15]  Hsing‐Hen Chen.  General Derivation of Bäcklund Transformations from Inverse Scattering Problems , 1974 .

[16]  P. R. Graves-Morris,et al.  Pade Approximants and their Applications , 1974 .

[17]  S. Sawada,et al.  A Method for Finding N-Soliton Solutions of the KdV and KdV-Like Equation , 1974 .

[18]  T. L. Perel'man,et al.  On the relationship between the N-soliton solution of the modified Korteweg-de Vries equation and the KdV equation solution , 1974 .

[19]  Hugo D. Wahlquist,et al.  Backlund transformation for solutions of the Korteweg-de Vries equation , 1973 .

[20]  R. Hirota.  Exact N-Soliton Solution of a Nonlinear Lumped Network Equation , 1973 .

[21]  Ryogo Hirota,et al.  Exact N‐soliton solutions of the wave equation of long waves in shallow‐water and in nonlinear lattices , 1973 .

[22]  R. Hirota.  Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .

[23]  G. Lamb.  Analytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant Medium , 1971 .

[24]  G. A. Baker,et al.  The Padé approximant in theoretical physics , 1970 .

[25]  Robert M. Miura,et al.  Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation , 1968 .

[26]  C. S. Gardner,et al.  Method for solving the Korteweg-deVries equation , 1967 .

[27]  N. Zabusky,et al.  Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States , 1965 .