Integration of nonlinear equations by the methods of algebraic geometry

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

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

A. B. Shabat · Functional Analysis and Its Applications · 1975 · 892 citations

Numerical Analysis, Engineering, Physics +8

NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

Boris Dubrovin, V. B. Matveev, S. P. Novikov · Russian Mathematical Surveys · 1976 · 707 citations

Spectral Theory, Korteweg-de Vries Type, Riemann-hilbert Problem +13

Introduction to Riemann Surfaces.

T. K. Pan, George Ś. Springer · American Mathematical Monthly · 1959 · 624 citations

Global Geometry, Geometry, Riemannian Geometry +7

Periodic solutions of the KdV equation

Peter D. Lax · Communications on Pure and Applied Mathematics · 1975 · 608 citations

Spectral Theory, Periodic Solutions, Engineering +10