On invariant analysis and conservation laws for degenerate coupled multi-KdV equations for multiplicity $l = 3$
[摘要] The degenerate coupled multi-Kortewegâde Vries equations for coupled multiplicity $l = 3$ are studied. The equations, also known as three-field KaupâBoussinesq equations, are considered for invariant analysis and conservation laws. The classical Lieâs symmetry method is used to analyse the symmetries of equations. Based on the Killingâs 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]