Some Results About Self-Adjointness of a Class of Nonlinear Wave Equations

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Authors

  • N.H. Ibragimov Center ALGA, Department of; Laboratory Group Analysis of Mathematical models in Natural Author
  • M. Torrisi Dipartimento di Matematica e Informatica, Author
  • R. Tracin 'a Dipartimento di Matematica e Informatica, Author

DOI:

https://doi.org/10.5890/JVTSD.2021.09.008

Abstract

In this paper we show some short notes concerned the nonlinear selfadjointess of a class of wave equations. These results, obtained together with prof. Ibragimov between the end of 2017 and January 2018, were the beginning of a wide study that remained incomplete.

References

[1] Ibragimov, N.H., Torrisi, M., and Tracina, R. (2010), Quasi self-adjoint nonlinear wave equations, J. Phys. A: Math. Theor., 43, 442001, (8pp).

[2] Ibragimov, N.H. (2006), Integrating factors, adjoint equations and Lagrangians, J. Math. Anal. Appl., 318, 742-757.

[3] Ibragimov, N.H. (2007), A new conservation theorem, J. Math. Anal. Appl., 333, 311-328.

[4] Ibragimov, N.H. (2011), Nonlinear self-adjointness and conservation laws, J. Phys. A: Math. Theor., 44, 432002.

[5] Sophocleous, C. and Tracina, R. (2008), Differential Invariants for quasi-linear and semi-linear wave-type equations, Appl. Math. Comput., 202 pp. 216-228.

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PublishedSeptember 2021

Usage tracking begins September 1, 2026.

History Published

Issue

Vol. 5 No. 3 (2021): Regular Issue

Section

Research Articles

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Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

Ibragimov, N., Torrisi, M., & 'a, R. T. (2026). Some Results About Self-Adjointness of a Class of Nonlinear Wave Equations. Journal of Vibration Testing and System Dynamics, 5(3), 279-283. https://doi.org/10.5890/JVTSD.2021.09.008

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