Exact Analytic N-Soliton-Like Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg–de Vries Model from Plasmas and Fluid Dynamics

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Published under licence by IOP Publishing Ltd
, , Citation Zhang Chun-Yi et al 2007 Chinese Phys. Lett. 24 1173 DOI 10.1088/0256-307X/24/5/013

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1 Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics (Ministry of Education), Beijing University of Aeronautics and Astronautics, Beijing 100083

2 Meteorology Center of Air Force Command Post, Changchun 130051

3 School of Science, Beijing University of Posts Telecommunications, Beijing 100876

Dates

  1. Received 29 December 2006
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0256-307X/24/5/1173

Abstract

Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Korteweg–de Vries (vcKdV) model is investigated. The bilinear form and analytic N-soliton-like solution for such a model are derived by the Hirota method and Wronskian technique. Additionally, the bilinear auto-Bäcklund transformation between (N−1)-soliton-like and N-soliton-like solutions is verified.

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