Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws | Zendy

Yu-Shan Bai | Zendy; Qi Zhang | Zendy

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Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws

Author(s) -

Yu-Shan Bai,

Qi Zhang

Publication year - 2019

Publication title -

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 , korteweg–de vries equation , invariant (physics) , transformation (genetics) , mathematics , lagrangian , symmetry (geometry) , mathematical physics , mathematical analysis , physics , nonlinear system , geometry , quantum mechanics , 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.

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