Similarity Inner Solutions for the Pulsar Equation

Abstract

Lie symmetries are applied to classify the source of the magnetic field for the Pulsar equation near to the surface of the neutron star. We find that there are six possible different admitted Lie algebras. We apply the corresponding Lie invariants to reduce the Pulsar equation close to the surface to an ordinary differential equation. This equation is solved either with the use of Lie symmetries or the application of the ARS algorithm for singularity analysis to write the analytic solution as a Laurent expansion. These solutions are called inner solutions.

11 pages, 2 figures, accepted for publication by Mathematical Methods in the Applied Science

References in corpus (5)

• Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
• Lie and Noether symmetries of geodesic equations and collineations
• Geodesic models generated by Lie symmetries
• Group classification of (1+1)-Dimensional Schrödinger Equations with Potentials and Power Nonlinearities
• Similarity Inner Solutions for the Pulsar Equation

Cited by in corpus (6)

• Similarity Inner Solutions for the Pulsar Equation
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• Similarity solutions for two-phase fluids models
• Lie symmetries and similarity solutions for a family of 1+1 fifth-order partial differential equations
• Lie Symmetries and Similarity transformations for the Generalized Boiti-Leon-Pempinelli equations
• Lie symmetries and similarity solutions for the generalized Zakharov equations