Integrability, computation and applications M. J. AblowitzS. ChakravartyB. M. Herbst OriginalPaper Pages: 5 - 37
Optical solitons in communications: From integrability to controllability Akira Hasegawa OriginalPaper Pages: 85 - 90
Korteweg, de Vries, and Dutch science at the turn of the century A. J. Kox OriginalPaper Pages: 91 - 92
Algebraic-geometrical methods in the theory of integrable equations and their perturbations I. Krichever OriginalPaper Pages: 93 - 125
An ODE to a PDE: Glories of the KdV equation. An appreciation of the equation on its 100th birthday! Martin D. Kruskal OriginalPaper Pages: 127 - 132
Coherent structure visiometrics: From the soliton to HEC Norman J. Zabusky OriginalPaper Pages: 159 - 172
The KPI equation with unconstrained initial data M. BoitiF. PempinelliA. Pogrebkov OriginalPaper Pages: 175 - 192
Solitons and the Korteweg-de Vries equation: Integrable systems in 1834–1995 R. K. BulloughP. J. Caudrey OriginalPaper Pages: 193 - 228
Integrable nonlinear evolution equations and dynamical systems in multidimensions Francesco Calogero OriginalPaper Pages: 229 - 244
Symmetry reductions and exact solutions of shallow water wave equations Petter A. ClarksonElizabeth L. Mansfield OriginalPaper Pages: 245 - 276
A KdV equation in 2+1 dimensions: Painlevé analysis, solutions and similarity reductions P. G. EstévezS. B. Leble OriginalPaper Pages: 277 - 294
On the background of limit pass for Korteweg-de Vries equation as the dispersion vanishes V. A. GalkinV. V. Russkikh OriginalPaper Pages: 307 - 314
KdV Equations and integrability detectors B. GrammaticosV. PapageorgiouA. Ramani OriginalPaper Pages: 335 - 348
Generalized self-dual Yang-Mills flows, explicit solutions and reductions Chaohao Gu OriginalPaper Pages: 349 - 360
The reductive perturbation method and the Korteweg-de Vries hierarchy R. A. KraenkelJ. G. PereiraM. A. Manna OriginalPaper Pages: 389 - 403
Darboux transformations for higher-rank Kadomtsev-Petviashvili and Krichever-Novikov equations Geoff A. LathamEmma Previato OriginalPaper Pages: 405 - 433
Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions Yoshimasa NakamuraYuji Kodama OriginalPaper Pages: 435 - 443
Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation A. Ye. RednikovM. G. VelardeV. N. Kurdyumov OriginalPaper Pages: 457 - 475
Recent results on the generalized Kadomtsev-Petviashvili equations Jean-Claude Saut OriginalPaper Pages: 477 - 487
An explicit expression for the Korteweg-de Vries hierarchy Rainer Schimming OriginalPaper Pages: 489 - 505