Inverse problem of quantum scattering theory. II.

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

Integrals of nonlinear equations of evolution and solitary waves

Peter D. Lax · Communications on Pure and Applied Mathematics · 1968 · 3K citations

Spectral Theory, Nonlinear Equations Evolutions, Nonlinear Wave Propagation +6

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

Korteweg-de Vries equation: A completely integrable Hamiltonian system

Lyudvig Dmitrievich Faddeev · Functional Analysis and Its Applications · 1972 · 573 citations

Hamiltonian Theory, Hamiltonian System, Integrable System +1

Growth properties of solutions of the reduced wave equation with a variable coefficient

Tosio Kato · Communications on Pure and Applied Mathematics · 1959 · 403 citations

Nonlinear Wave Propagation, Oscillation Theory, Nonlinear Hyperbolic Problem +5