Abstract
Abstract In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process. Firstly, Lie symmetries are determined and then used to establish an optimal system of one-dimensional subalgebras. Thereafter with its aid we perform symmetry reductions and compute new invariant solutions, which are snoidal and cnoidal waves. Additionally, the conservation laws for the aforementioned equation are established by invoking multiplier method and Noether’s theorem.
Highlights
In this work we conduct a study of the third-order equalwidth (EW) equation ut + 2αuux − βutxx = 0, α, β ≠ 0, (1)Firstly, we determine Lie symmetries of (1) and utilize them to establish an optimal system of one-dimensional subalgebras (OSODS)
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process
The conservation laws for the aforementioned equation are established by invoking multiplier method and Noether’s theorem
Summary
We determine Lie symmetries of (1) and utilize them to establish an optimal system of one-dimensional subalgebras (OSODS). Thereafter, we use this OSODS to performs symmetry reductions (SRs) and invariant solutions of (1) [5,6,7,8,9,10,11,12]
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