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- Title
INTEGRABLE PROPERTIES FOR A GENERALIZED NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG–DE VRIES MODEL.
- Authors
XU, XIAO-GE; MENG, XIANG-HUA; SUN, FU-WEI; GAO, YI-TIAN
- Abstract
Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Korteweg–de Vries (vcKdV) equation is investigated analytically employing the Hirota bilinear method in this paper. The bilinear form for such a model is derived through a dependent variable transformation. Based on the bilinear form, the integrable properties such as the N-solitonic solution, the Bäcklund transformation and the Lax pair for the vcKdV equation are obtained. Additionally, it is shown that the bilinear Bäcklund transformation can turn into the one denoted in the original variables.
- Subjects
KORTEWEG-de Vries equation; FLUID mechanics; SPACE environment; NONLINEAR differential equations; CONTINUUM mechanics
- Publication
Modern Physics Letters B, 2010, Vol 24, Issue 10, p1023
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984910022949