A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

Natural Sciences, Mathematics, Physics +17

Integrals of nonlinear equations of evolution and solitary waves

Peter D. Lax · Communications on Pure and Applied Mathematics · 1968 · 3.1K citations

Natural Sciences, Mathematics, Physics +14

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 · 2.7K citations

Natural Sciences, Physics, Optics +13

The Modified Korteweg-de Vries Equation

Miki Wadati · Journal of the Physical Society of Japan · 1973 · 570 citations

Natural Sciences, Physics, Differential Equations +12

The Exact <i>N</i>-Soliton Solution of the Korteweg-de Vries Equation

Miki Wadati, Morikazu Toda · Journal of the Physical Society of Japan · 1972 · 198 citations

Natural Sciences, Physics, Differential Equations +14