Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4--9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux (Q2757712)

The articles of this volume will be reviewed individually.NEWLINENEWLINEIndexed articles:NEWLINENEWLINE\textit{Gromak, V. I.}, Bäcklund transformations of the higher order Painlevé equations, 3-28 [Zbl 1006.34086]NEWLINENEWLINE\textit{Levi, D.; Ragnisco, O.}, Dressing method and Bäcklund and Darboux transformations, 29-51 [Zbl 0989.35119]NEWLINENEWLINE\textit{Rogers, C.; Schief, W. K.}, The classical geometry of Bäcklund transformations. Introduction to applications in soliton theory, 53-67 [Zbl 0992.35083]NEWLINENEWLINE\textit{Schief, W. K.}, An introduction to integrable difference and differential geometries: Affine spheres, their natural generalization and discretization, 69-88 [Zbl 1002.53005]NEWLINENEWLINE\textit{Aminov, Yu.; Sym, A.}, On Bianchi and Bäcklund transformations of two dimensional surfaces in four dimensional Euclidean space, 91-93 [Zbl 0999.53004]NEWLINENEWLINE\textit{Anderson, Ian M.; Fels, Mark E.; Torre, Charles G.}, Group invariant solutions without transversality and the principle of symmetric criticality, 95-108 [Zbl 0992.58020]NEWLINENEWLINE\textit{Aratyn, H.; Nissimov, E.; Pacheva, S.}, Multi-component matrix KP hierarchies as symmetry-enhanced scalar KP hierarchies and their Darboux-Bäcklund solutions, 109-120 [Zbl 0999.37041]NEWLINENEWLINE\textit{Cieśliński, Jan L.}, The Darboux-Bäcklund transformation and Clifford algebras, 121-128 [Zbl 0996.37074]NEWLINENEWLINE\textit{Clarkson, P. A.; Mansfield, E. L.; Webster, H. N.}, On discrete Painlevé equations as Bäcklund transformations, 129-139 [Zbl 0991.39008]NEWLINENEWLINE\textit{Clelland, J. N.}, A Bäcklund transformation for timelike surfaces of constant mean curvature in \(\mathbb{R}^{1,2}\), 141-150 [Zbl 0992.53012]NEWLINENEWLINE\textit{Corro, A. V.; Ferreira, W.; Tenenblat, K.}, On Ribaucour transformations, 151-157 [Zbl 1004.53005]NEWLINENEWLINE\textit{Doliwa, Adam}, The Ribaucour congruences of spheres within Lie sphere geometry, 159-166 [Zbl 0994.37039]NEWLINENEWLINE\textit{Ercolani, N. M.}, Bäcklund transformations for the reduced Maxwell-Bloch equations, 167-178 [Zbl 1025.37042]NEWLINENEWLINE\textit{Ferapontov, E. V.}, Transformations of quasilinear systems originating from the projective theory of congruences, 179-190 [Zbl 1017.53014]NEWLINENEWLINE\textit{Ferapontov, E. V.; Grundland, A. M.}, Bäcklund links between different analytic descriptions of constant mean curvature surfaces, 191-197 [Zbl 1001.53014]NEWLINENEWLINE\textit{Finkel, F.}, On the integrability of Weingarten surfaces., 199-205 [Zbl 1163.53308]NEWLINENEWLINE\textit{Finkel, F.; Fokas, A. S.}, A new immersion formula for surfaces on Lie algebras and integrable equations, 207-216 [Zbl 0989.35118]NEWLINENEWLINE\textit{Finley, J. D. III}, Difficulties with SDiff(2) Toda equation, 217-224 [Zbl 1005.37046]NEWLINENEWLINE\textit{Havlíček, M.; Pošta, S.; Winternitz, P.}, Superposition formulas based on nonprimitive group action, 225-231 [Zbl 1004.34006]NEWLINENEWLINE\textit{Hernandez Heredero, R.; Levi, D.; Rodríguez, M. A.; Winternitz, P.}, Symmetries of differential difference equations and Lie algebra contractions, 233-243 [Zbl 0994.37033]NEWLINENEWLINE\textit{Hietarinta, Jarmo}, Bäcklund transformations from the bilinear viewpoint, 245-251 [Zbl 0991.35077]NEWLINENEWLINE\textit{Hlavatý, L.}, Towards the Lax formulation of SU(2) principal models with nonconstant metric, 253-259 [Zbl 1004.37046]NEWLINENEWLINE\textit{Hoenselaers, C. A.; Miccichè, S.}, Transcendental solutions of the sine-Gordon equation, 261-271 [Zbl 0987.35144]NEWLINENEWLINE\textit{Ioannidou, T.; Piette, B.; Zakrzewski, W. J.}, Three dimensional Skyrmions and harmonic maps., 273-280 [Zbl 1057.58006]NEWLINENEWLINE\textit{Konopelchenko, B. G.; Landolfi, G.}, Induced surfaces and their integrable deformations, 281-289 [Zbl 1002.53001]NEWLINENEWLINE\textit{Kovalyov, M.}, Properties of a class of slowly decaying oscillatory solutions of KdV, 291-297 [Zbl 1001.35101]NEWLINENEWLINE\textit{Lafortune, S.; Ramani, A.; Grammaticos, B.; Ohta, Y.; Tamizhmani, K. M.}, Blending two discrete integrability criteria: Singularity confinement and algebraic entropy, 299-311 [Zbl 0991.39009]NEWLINENEWLINE\textit{Ma, Wen-Xiu; Geng, Xianguo}, Bäcklund transformations of soliton systems from symmetry constraints, 313-323 [Zbl 1010.37048]NEWLINENEWLINE\textit{Mathieu, P.}, Open problems for the super KdV equations, 325-334 [Zbl 0994.37035]NEWLINENEWLINE\textit{Milson, R.}, Combinatorial aspects of the Darboux transformation., 335-344 [Zbl 1161.81429]NEWLINENEWLINE\textit{Musette, M.; Conte, R.; Verhoeven, C.}, Bäcklund transformation and nonlinear superposition formula of the Kaup-Kupershmidt and Tzitzéica equations, 345-362 [Zbl 0994.35103]NEWLINENEWLINE\textit{Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping}, Classification of symmetry-integrable evolution equations, 363-372 [Zbl 0995.35005]NEWLINENEWLINE\textit{Reyes, Enrique G.}, Integrability of evolution equations and pseudo-spherical surfaces, 373-383 [Zbl 0988.35136]NEWLINENEWLINE\textit{Rogers, C.; Schief, W. K.}, Infinitesimal Bäcklund transformations of \(K\)-nets. The 2+1-dimensional sinh-Gordon system, 385-392 [Zbl 0992.35084]NEWLINENEWLINE\textit{Schief, W. K.}, Isothermic surfaces and the Calapso equation: The full monty, 393-403 [Zbl 0996.53003]NEWLINENEWLINE\textit{Schmid, R.}, Bäcklund transformations induced by symmetries application: Discrete mKdV, 405-410 [Zbl 1010.37049]NEWLINENEWLINE\textit{Steudel, H.}, Darboux transformation for a spectral problem quadratic in the spectral parameter, 411-418 [Zbl 0989.35115]NEWLINENEWLINE\textit{Thomova, Z.; Winternitz, P.}, Separation of variables and Darboux transformations, 419-427 [Zbl 0991.22015]NEWLINENEWLINE\textit{Winternitz, P.}, Bäcklund transformations as nonlinear ordinary differential, or difference equations with superposition formulas, 429-436 [Zbl 0998.34005]