On the fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential: Lie symmetry reductions, explicit exact solutions and conservation laws
- Resource Type
- Authors
- Ahmad Majlesi; H. Roohani Ghehsareh; Ali Zaghian
- Source
- The European Physical Journal Plus. 132
- Subject
- Conservation law
Similarity (geometry)
Invariant subspace
Complex system
General Physics and Astronomy
01 natural sciences
Symmetry (physics)
010305 fluids & plasmas
Fractional calculus
Nonlinear system
symbols.namesake
0103 physical sciences
symbols
Applied mathematics
010301 acoustics
Schrödinger's cat
Mathematics
- Language
- ISSN
- 2190-5444
In this study, the Lie symmetry analysis is performed on a coupled system of nonlinear time-fractional Jaulent-Miodek equations associated with energy-dependent Schrodinger potential. The underlying problem is similarity reduced to a system of nonlinear ordinary differential equations with Erdelyi-Kober fractional derivatives. Employing the invariant subspace method, a set of explicit solutions for the problem has been well constructed. In addition, the new conservation theorem is used to construct the conservation laws of the problem.