Published January 2014 | Version v1
Journal article Metadata-only

Darboux transformations via lie point symmetries: KdV equation

Creators

  • 1. Department of Physics, Ningbo University, Ningbo (China)
  • 2. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai (China)

Description

By localizing the nonlocal symmetries of a nonlinear model to local symmetries of an enlarged system, we find Darboux-Backlund transformations for both the original and prolonged systems. The idea is explicitly realized for the well-known KdV equation. (authors)

Additional details

Identifiers

DOI
10.1088/0256-307X/31/1/010201;

Publishing Information

Journal Title
Chinese Physics Letters
Journal Volume
31
Journal Issue
1
Journal Page Range
[4 p.]
ISSN
0256-307X

INIS

Country of Publication
China
Country of Input or Organization
China
INIS RN
51120526
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
KORTEWEG-DE VRIES EQUATION; NONLINEAR PROBLEMS; SYMMETRY; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Notes
11 refs.; http://dx.doi.org/10.1088/0256-307X/31/1/010201