Gandarias, M.L.; Durán, M.R.; Khalique, C.M. Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions. Symmetry2020, 12, 950.
Gandarias, M.L.; Durán, M.R.; Khalique, C.M. Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions. Symmetry 2020, 12, 950.
Gandarias, M.L.; Durán, M.R.; Khalique, C.M. Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions. Symmetry2020, 12, 950.
Gandarias, M.L.; Durán, M.R.; Khalique, C.M. Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions. Symmetry 2020, 12, 950.
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.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
