This article is cited in 15 papers

Complex Whitham deformations in the problems with “integrable instability”

R. F. Bikbaev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The focusing nonlinear Schrödinger equation with finite-density boundary conditions as $|x|\!\to \!\infty$ is considered. The asymptotic behavior of the solution as $t\!\to \!\infty$ is investigated by means of the complex theory of $\zeta$ deformations of Whitham.

Received: 27.10.1994

 English version: Theoretical and Mathematical Physics, 1995, 104:3, 1078–1097

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