Lie symmetries and exact solutions of a new generalized Hirota–Satsuma coupled KdV system with variable coefficients

A new generalized Hirota–Satsuma coupled KdV system with variable coefficients is examined for Lie symmetry group and admissible forms of the coefficients with the help of the symmetry method based on the Fréchet derivative of the differential operators. An optimal system, of non-equivalent (non-con...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of engineering science Vol. 44; no. 3; pp. 241 - 255
Main Authors Singh, K., Gupta, R.K.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.02.2006
Elsevier
Subjects
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Physics
37J15
35G99
35Q53
Generalized solution
Vector fields
Symmetry groups
Exact solution
Korteweg-de Vries equation
Algebra
Lie groups
Modelling
Differential operator
Non linear effect
Online AccessGet full text
ISSN0020-7225
1879-2197
DOI10.1016/j.ijengsci.2005.08.009

Cover

More Information
Summary:A new generalized Hirota–Satsuma coupled KdV system with variable coefficients is examined for Lie symmetry group and admissible forms of the coefficients with the help of the symmetry method based on the Fréchet derivative of the differential operators. An optimal system, of non-equivalent (non-conjugate) one dimensional sub-algebras of the symmetry algebra of the KdV system, having ten basic fields is determined. Using the non-equivalent Lie ansätze, for each essential vector field, the nonlinear system is reduced to systems of ordinary differential equations, and some special exact solutions of the KdV system are constructed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2005.08.009