This article is cited in 2 papers

Nonlinear Schrödinger equations admitted by auto-Bäcklund transformations uations

R. A. Mishaev, E. Sh. Teplitsky

Tbilisi Ivane Javakhishvili State University

Abstract: A generalized formulation of Bäcklund transformations that carry a nonlinear Schrödinger equation into itself is considered, and a class of potentials that satisfy these transformations is found. A set of operators that simplify the analysis of the Lamb equations is introduced.

Received: 20.05.1993

 English version: Theoretical and Mathematical Physics, 1994, 100:2, 948–958

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