RT journal article
T1 Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions
A1 Gandarias Núñez, María Luz
A1 Rosa Durán, María
A1 Masood Khalique, Chaudry
A2 Matemáticas
K1 conservation laws
K1 lie symmetries
K1 travelling wave solutions
AB In this article, we investigate two types of double dispersion equations in two different dimensions, which arise in several physical applications. Double dispersion equations are derived to describe long nonlinear wave evolution in a thin hyperelastic rod. Firstly, we obtain conservation laws for both these equations. To do this, we employ the multiplier method, which is an efficient method to derive conservation laws as it does not require the PDEs to admit a variational principle. Secondly, we obtain travelling waves and line travelling waves for these two equations. In this process, the conservation laws are used to obtain a triple reduction. Finally, a line soliton solution is found for the double dispersion equation in two dimensions.
PB MDPI
SN 2073-8994
YR 2020
FD 2020-06
LK http://hdl.handle.net/10498/23582
UL http://hdl.handle.net/10498/23582
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026