Published November 2008 | Version v1
Journal article Metadata-only

N-Soliton Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg–de Vries Equation

Creators

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

Description

We concentrate on finding exact solutions for a generalized variable-coefficient Korteweg–de Vries equation of physically significance. The analytic N-soliton solution in Wronskian form for such a model is postulated and verified by direct substituting the solution into the bilinear form by virtue of the Wronskian technique. Additionally, the bilinear auto-Bäcklund transformation between the (N — 1)- and N-soliton solutions is verified. (general)

Availability note (English)

Available from http://dx.doi.org/10.1088/0256-307X/25/11/015

Additional details

Identifiers

DOI
10.1088/0256-307X/25/11/015;

Publishing Information

Journal Title
Chinese Physics Letters
Journal Volume
25
Journal Issue
11
Journal Page Range
p. 3890-3893
ISSN
0256-307X
CODEN
CPLEEU

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44112955
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ANALYTICAL SOLUTION; BAECKLUND TRANSFORMATION; CALCULATION METHODS; EXACT SOLUTIONS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL MODELS; SOLITONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; TRANSFORMATIONS