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

N.H. Ibragimov; , M. Torrisi; , R. Tracin 'a

Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

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

Journal of Vibration Testing and System Dynamics 5(3) (2021) 279--283 | DOI:10.5890/JVTSD.2021.09.008

N.H. Ibragimov$^{1,2}$, M. Torrisi$^{3}$, R. Tracin 'a$^{3}$

$^{1}$ Center ALGA, Department of Mathematics and Natural Sciences, Blekinge Institute of Technology, Karlskrona, Sweden

$^{2}$ Laboratory ``Group Analysis of Mathematical models in Natural and Engineering Sciences", Ufa State Aviation Technical University, Ufa, Russia

$^{3}$ Dipartimento di Matematica e Informatica, Univerity of Catania, Italy

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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

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