Concepedia

The initial value problem for the Whitham averaged system

Fei Ran Tian

Communications in Mathematical Physics · 1994 · 39 citations · 12 references

DOI

Concepts

References

12

Non-linear dispersive waves

G. B. Whitham · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1965 · 641 citations

, , +16

Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation

H. Flaschka, M. Gregory Forest, David W. McLaughlin · Communications on Pure and Applied Mathematics · 1980 · 488 citations

, , +15

Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

Boris Dubrovin, S. P. Novikov · Russian Mathematical Surveys · 1989 · 459 citations

, , +17

Method of averaging for two-dimensional "integrable" equations

I. M. Krichever · Functional Analysis and Its Applications · 1988 · 231 citations

, , +10

The zero dispersion limit of the korteweg‐de vries equation for initial potentials with non‐trivial reflection coefficient

Stephanos Venakides · Communications on Pure and Applied Mathematics · 1985 · 114 citations

, , +13