Concepedia

Instability of solitons for the critical generalized Korteweg—de Vries equation

Yvan Martel, Franck Merle

Geometric and Functional Analysis · 2001 · 162 citations · 8 references

DOI

Concepts

References

8

XLI. <i>On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves</i>

D. J. Korteweg, G. de Vries · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1895 · 4.1K citations

, , +5

Integrals of nonlinear equations of evolution and solitary waves

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

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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

Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Communications on Pure and Applied Mathematics · 1993 · 1.4K citations

, , +14

Stability theory of solitary waves in the presence of symmetry, II

Manoussos G. Grillakis, Jalal Shatah, Walter A. Strauss · Journal of Functional Analysis · 1990 · 1.3K citations

, , +14