Published March 15, 2008 | Version v1
Journal article Metadata-only

Various Methods for Constructing Auto-Baecklund Transformations for a Generalized Variable-Coefficient Korteweg-de Vries Model from Plasmas and Fluid Dynamics

Creators

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

Description

In this paper, under the Painleve-integrable condition, the auto-Baecklund transformations in different forms for a variable-coefficient Korteweg-de Vries model with physical interests are obtained through various methods including the Hirota method, truncated Painleve expansion method, extended variable-coefficient balancing-act method, and Lax pair. Additionally, the compatibility for the truncated Painleve expansion method and extended variable-coefficient balancing-act method is testified.

Availability note (English)

Available from http://dx.doi.org/10.1088/0253-6102/49/3/33

Additional details

Identifiers

DOI
10.1088/0253-6102/49/3/33;

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
49
Journal Issue
3
Journal Page Range
p. 673-678
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42070800
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
BAECKLUND TRANSFORMATION; FLUID MECHANICS; INTEGRAL CALCULUS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL MODELS; PLASMA
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; TRANSFORMATIONS