1995/12/06 by G. A. Él, G. A. El, El, G. A.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9512003
15 pages of Standard LaTeX and 4 figures. The figures are available by fax. Please send your request by e-mail address: [email protected]
arxiv created 1995/12/06 · arxiv updated 2009/11/30
We present a fundamental solution to an initial value problem for the KdV-Whitham system in an explicit integral form. Monotonically decreasing initial data with finite number of breaking points are considered. Generating function for the commuting flows of the averaged KdV hieararchy producing the analytical solutions to the KdV-Whitham system is constructed.