Concepedia

On solutions of the initial value problem for the nonlinear Schr�dinger equations in one space dimension

Nakao Hayashi, Kuniaki Nakamitsu, Masayoshi Tsutsumi

Mathematische Zeitschrift · 1986 · 74 citations · 13 references

DOI

Concepts

References

13

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

, , +13

Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations

Robert S. Strichartz · Duke Mathematical Journal · 1977 · 1.3K citations

, , +16

Korteweg‐devries equation and generalizations. VI. methods for exact solution

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Communications on Pure and Applied Mathematics · 1974 · 867 citations

, , +13

On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

Robert T. Glassey · Journal of Mathematical Physics · 1977 · 760 citations

, , +14

On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case

J. Ginibre, G. Velo · Journal of Functional Analysis · 1979 · 562 citations

, , +16