THERMAL SCIENCE

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Yu-Shan Bai

,

Qi Zhang

PERTURBED KORTEWEG-DE VRIES EQUATIONS SYMMETRY ANALYSIS AND CONSERVATION LAWS

ABSTRACT
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.
KEYWORDS
coupled system of perturbed Korteweg-de Vries equations, approximate symmetry, approximate invariant solution, approximate conservation law, optimal system
PAPER SUBMITTED: 2018-03-31
PAPER REVISED: 2018-10-01
PAPER ACCEPTED: 2018-10-01
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904281B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 4, PAGES [2281 - 2289]
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Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws

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