The zero dispersion limit for the Korteweg-deVries KdV equation
AUTOR(ES)
Lax, Peter D.
RESUMO
We use the inverse scattering method to determine the weak limit of solutions of the Korteweg-deVries equation as dispersion tends to zero. The limit, valid for all time, is characterized in terms of a quadratic programming problem which can be solved with the aid of function theoretic methods. For large t, the solutions satisfy Whitham's averaged equations at some times and the equations found by Flaschka et al. at other times.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=383880Documentos Relacionados
- An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation
- Existence and stability of solutions of type solitary waves in equation Korteweg-de Vries (KdV)
- Soluções exatas para problemas de dispersão de poluentes : modelo difusivo baseado na equação KdV
- Stability of periodic travelling wave solutions for the Boussinesq and Korteweg- de Vries equations
- Averaging and renormalization for the Korteveg–deVries–Burgers equation