Open AccessPerturbed Korteweg-de Vries equations symmetry analysis and conservation laws
Author(s) -
Yun Bai,
Qi Zhang
Publication year - 2019
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1904281b
Subject(s) - conservation law , homogeneous space , invariant (physics) , korteweg–de vries equation , transformation (genetics) , symmetry (geometry) , lagrangian , transformation group , mathematical physics , mathematics , physics , mathematical analysis , nonlinear system , pure mathematics , quantum mechanics , geometry , biochemistry , chemistry , gene
Approximate symmetries for a coupled system of perturbed Korteweg-de Vries equations with small parameters are constructed by applying the method of approximate transformation groups. The optimal system of the presented approximate symmetries and a few approximate invariant solutions to the coupled system are obtained. Moreover, approximate conservation laws are constructed by using the partial Lagrangian method.