Noether Symmetries of the Triple Degenerate DNLS Equations
Document Type
Article
Publication Title
Mathematical and Computational Applications
Publication Date
8-1-2024
Abstract
In this paper, Lie symmetries and Noether symmetries along with the corresponding conservation laws are derived for weakly nonlinear dispersive magnetohydrodynamic wave equations, also known as the triple degenerate derivative nonlinear Schrödinger equations. The main goal of this study is to obtain Noether symmetries of the second-order Lagrangian density for these equations using the Noether symmetry approach with a gauge term. For this Lagrangian density, we compute the conserved densities and fluxes corresponding to the Noether symmetries with a gauge term, which differ from the conserved densities obtained using Lie symmetries in Webb et al. (J. Plasma Phys. 1995, 54, 201–244; J. Phys. A Math. Gen. 1996, 29, 5209–5240). Furthermore, we find some new Lie symmetries of the dispersive triple degenerate derivative nonlinear Schrödinger equations for non-vanishing integration functions (Formula presented.) ((Formula presented.)).
Volume
29
Issue
4
DOI
10.3390/mca29040060
Recommended Citation
Camci, U. (2024). Noether Symmetries of the Triple Degenerate DNLS Equations. Mathematical and Computational Applications, 29 (4) https://doi.org/10.3390/mca29040060
ISSN
1300686X
E-ISSN
22978747
