Submitted:
31 January 2020
Posted:
03 February 2020
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Abstract
In this article, we investigate two types of double dispersion equations in two di erent 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.
Keywords:
conservation laws
; Lie symmetries
; exact solutions
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