Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrodinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications

摘要

In this paper, the multisoliton solutions in terms of double Wronskian determinant are presented for a generalized variable-coefficient nonlinear Schrodinger equation, which appears in space and laboratory plasmas, arterial mechanics, fluid dynamics, optical communications and so on. By means of the particularly nice properties of Wronskian determinant, the solutions are testified through direct substitution into the bilinear equations. Furthermore, it can be proved that the bilinear Backlund transformation transforms between (N - 1)- and N-soliton solutions. (c) 2007 Elsevier Inc. All rights reserved.