期刊
ANNALS OF PHYSICS
卷 323, 期 8, 页码 1947-1955出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2007.10.007
关键词
variable-coefficient nonlinear Schrodinger equation; bilinear form; multisoliton solutions; Backlund transformation; double Wronskian determinant
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.
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