The Whitham-type equations and linear overdetermined systems of Euler- Poisson-Darboux type
The author shows how the solutions of the Whitham-type equations that describe the zero-dispersion limit of the KdV equation can be obtained from those of a certain higher-dimensional overdetermined Euler-Poisson- Darboux system by means of Krichever's algebraic-geometric scheme.
zero-dispersion limit of the KdV equation
overdetermined Euler-Poisson-Darboux system
scientific article; zbMATH DE number 624877
scientific article