On invariant analysis and conservation laws for degenerate coupled multi-KdV equations for multiplicity $l = 3$

Pramana: Journal of physics

R K GUPTA^1¹  MANJIT SINGH^2² 

[1] Centre for Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda 151 001, India^1;Yadavindra College of Engineering, Punjabi University, Guru Kashi Campus, Talwandi, Sabo 151 302, India^2

关键词: Lie symmetries;    optimal system;    exact solutions;    conservation laws;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

CC BY