Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws

Perturbed Korteweg-de Vries equations symmetry analysis and conservation laws

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...

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Bibliographic Details
Main Authors: Bai Yu-Shan, Zhang Qi
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2019-01-01
Series:Thermal Science
Subjects:
coupled system of perturbed korteweg-de vries equations
approximate symmetry
approximate invariant solution
approximate conservation law
optimal system
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904281B.pdf
Description
Summary: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.
ISSN:0354-9836

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