Group Analysis of the Generalized Hunter-Saxton System

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Authors

  • Yuri Bozhkov Instituto de Matemática, Estatística e Computação Científica - IMECC, Universidade Estadual de Campinas - UNICAMP, 13083-859, Campinas/SP, Brasil Author
  • Valter Aparecido Silva Junior Instituto Federal de Educação, Ciência e Tecnologia de São Paulo - IFSP, Acesso Dr. João Batista Merlin, s/no, Jardim Itália, 13872-551 - São João da Boa Vista - SP, Brasil; Instituto de Física “Gleb Wataghin” - IFGW, Universidade Estadual de Campinas - UNICAMP, 13083-859 - Campinas - SP, Brasil Author

DOI:

https://doi.org/10.5890/DNC.2017.06.004

Abstract

We find the Lie point symmetries of the generalized two-component Hunter-Saxton system. Then we show that it is nonlinearly self-adjoint and establish the corresponding conservation laws using a recent theorem of Nail Ibragimov which enables one to determine conservation laws for problems without variational structure. Finally we obtain some invariant solutions.

References

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PublishedJune 2017

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Vol. 6 No. 2 (2017): Regular Issue

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Research Articles

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How to Cite

Bozhkov, Y., & Junior, V. A. S. (2026). Group Analysis of the Generalized Hunter-Saxton System. Discontinuity, Nonlinearity, and Complexity, 6(2), 165-171. https://doi.org/10.5890/DNC.2017.06.004

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