已收录 273170 条政策
 政策提纲
  • 暂无提纲
On invariant analysis and conservation laws for degenerate coupled multi-KdV equations for multiplicity $l = 3$
[摘要] The degenerate coupled multi-Korteweg–de Vries equations for coupled multiplicity $l = 3$ are studied. The equations, also known as three-field Kaup–Boussinesq equations, are considered for invariant analysis and conservation laws. The classical Lie’s symmetry method is used to analyse the symmetries of equations. Based on the Killing’s form, which is invariant of adjoint action, the full classification for Lie algebra is presented. Further, one-dimensional optimal group classification is used to obtain invariant solutions. Besides this, using general theorem proved by Ibragimov, we find several non-local conservation laws for these equations. The conserved currents obtained in this work can be useful for the better understanding of some physical phenomena modelled by the underlying equations.
[发布日期]  [发布机构] 
[效力级别]  [学科分类] 物理(综合)
[关键词] Lie symmetries;optimal system;exact solutions;conservation laws [时效性] 
   浏览次数:13      统一登录查看全文      激活码登录查看全文