The Periodic Cubic Schrõdinger Equation
Authors:
- 1 October 1981
- journal article
- research article
- Published by Wiley in Studies in Applied Mathematics
- Vol. 65 (2) , 113-158
Abstract
Solutions to the cubic nonlinear Schrödinger equation, periodic in space, are developed.Keywords
This publication has 10 references indexed in Scilit:
- Nonlinear deep-water waves: theory and experiment. Part 2. Evolution of a continuous wave trainJournal of Fluid Mechanics, 1977
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch pointsCommunications on Pure and Applied Mathematics, 1976
- NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIESRussian Mathematical Surveys, 1976
- The spectrum of Hill's equationInventiones Mathematicae, 1975
- Periodic problems for the Korteweg — de Vries equation in the class of finite band potentialsFunctional Analysis and Its Applications, 1975
- Hill's operator with finitely many gapsFunctional Analysis and Its Applications, 1975
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear ProblemsStudies in Applied Mathematics, 1974
- The periodic problem for the Korteweg—de vries equationFunctional Analysis and Its Applications, 1974
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. IFunctional Analysis and Its Applications, 1974
- Method for Solving the Korteweg-deVries EquationPhysical Review Letters, 1967