We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Numerical solution, conservation laws, and analytical solution for the 2D time-fractional chiral nonlinear Schrödinger equation in physical media.
- Authors
Ahmed, Engy A.; AL-Denari, Rasha B.; Seadawy, Aly R.
- Abstract
The (2+1)-dimensional time-fractional chiral non-linear Schrödinger equation in physical media is considered in this paper. At the outset, the Lie group analysis is applied to build a set of infinitesimal generators for this equation with the aid of the Riemann–Liouville fractional derivatives. Consequently, the reduction for the considered equation into an ordinary differential equation of fractional order is obtained by using these generators and the ErdLélyi–Kober fractional operator. As a result of this reduction, we use power series analysis to get an analytical solution provided by a convergence analysis of the obtained solution. Furthermore, we construct a numerical solution based on hyperbolic functions using the fractional reduced differential transform method in the sense of Caputo fractional derivatives. Also, we detect absolute errors by performing a comparison between the exact and numerical solutions of the equation under study, while investigating the effect of fractional order α on the numerical solution. Finally, conservation laws are derived using the the formal Lagrangian and new conservation theorem.
- Subjects
NONLINEAR Schrodinger equation; CONSERVATION laws (Physics); ANALYTICAL solutions; CONSERVATION laws (Mathematics); NUMERICAL solutions to equations; LIE groups
- Publication
Optical & Quantum Electronics, 2024, Vol 56, Issue 6, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-024-06828-3