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

Journal Article · Fri Aug 15 00:00:00 EDT 2008 · Annals of Physics (New York)

OSTI ID:21163723

Hongwu, Zhu; Zhenzhi, Yao; Xianghua, Meng; Cheng, Zhang ^[1]; Chunyi, Zhang ^[2]; Bo, Tian ^[1]

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1. School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876 (China)
2. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083 (China)

In this paper, the multisoliton solutions in terms of double Wronskian determinant are presented for a generalized variable-coefficient nonlinear Schroedinger 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 Baecklund transformation transforms between (N - 1)- and N-soliton solutions.

• OSTI ID: 21163723
• Journal Information: Annals of Physics (New York), Vol. 323, Issue 8; Other Information: DOI: 10.1016/j.aop.2007.10.007; PII: S0003-4916(07)00157-1; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BAECKLUND TRANSFORMATION
COMMUNICATIONS
FLUID MECHANICS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PLASMA
SCHROEDINGER EQUATION
SOLITONS