Showing papers by "Vladimir E. Zakharov published in 1985"
TL;DR: In this article, the authors show the existence of Hamiltonian structures for a number of plasma situations and show the connection between decay and modulational instability growth rates and matrix elements.
254 citations
198 citations
60 citations
TL;DR: In this paper, a nonlocal Riemann problem is used to construct multidimensional nonlinear integrable systems and their solutions are obtained by means of a non-local RCP.
Abstract: A new method for constructing multidimensional nonlinear integrable systems and their solutions by means of a nonlocal Riemann problem is presented. This is the natural generalization of the method of the local Riemann problem to the case of several space variables and includes the well-known Zakharov-Shabat method of dressing by Volterra operators.
22 citations
Journal Article•
1 citations