The discrete Korteweg-de Vries equation

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.5K citations

Numerical Analysis, Solitary Waves, Nonlinear Wave Propagation +8

XLI. <i>On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves</i>

D. J. Korteweg, G. de Vries · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1895 · 4K citations

Ocean Wave Mechanics, Long Waves, Long Stationary Waves +12

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Studies in Applied Mathematics · 1974 · 3.1K citations

Numerical Analysis, Nonlinear Problems, Inverse Scattering +9

Ordinary Differential Equations

A. T. Lonseth, E. L. Ince · National Mathematics Magazine · 1945 · 3.1K citations

Oscillation Theory, Nonlinear Equation, Financial Differential Equations +2

Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media

В. Е. Захаров, A. B. Shabat · Journal of Experimental and Theoretical Physics · 1970 · 2.6K citations

Photonics, Two-dimensional Self-focusing, One-dimensional Self-modulation +6