ARTICLE | doi:10.20944/preprints202002.0014.v1
Subject: Mathematics & Computer Science, Applied Mathematics Keywords: conservation laws; Lie symmetries; exact solutions
Online: 3 February 2020 (05:15:57 CET)
In this article, we investigate two types of double dispersion equations in two dierent dimensions. Double dispersion equation were derived to describe long nonlinear wave evolution in a thin hyperelastic rod. Conservation laws are obtained for these equations by the application of the multiplier method. Finally, travelling waves and line travelling waves are respectively considered for these two equations.