dorsal/arxiv
View SchemaComment on "Solitonlike Solutions of the Grad-Shafranov Equation"
| Authors | G. N. Throumoulopoulos, K. Hizanidis, H. Tasso |
|---|---|
| Categories | |
| ArXiv ID | physics/0307105 |
| URL | https://arxiv.org/abs/physics/0307105 |
| DOI | 10.1103/PhysRevLett.92.249501 |
Abstract
In the above entitled recent publication by Giovanni Lapenta [Phys. Rev. Lett. Vol 90, 135005 (2003) ] it is claimed construction of a new class of solitonlike solutions for the Grad-Shafranov equation in plane geometry. It is proved here that, because of the mathematically erroneous choice \nabla p= |\Psi|^2 \Psi \nabla \Psi for an analytic continuation of the poloidal magnetic flux-function \Psi in the complex plane (p is the pressure), the cubic Schr\"odinger equation considered by the author is irrelevant to the equilibrium problem and the Grad-Shafranov equation.
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"abstract": "In the above entitled recent publication by Giovanni Lapenta [Phys. Rev.\nLett. Vol 90, 135005 (2003) ] it is claimed construction of a new class of\nsolitonlike solutions for the Grad-Shafranov equation in plane geometry. It is\nproved here that, because of the mathematically erroneous choice \\nabla p=\n|\\Psi|^2 \\Psi \\nabla \\Psi for an analytic continuation of the poloidal magnetic\nflux-function \\Psi in the complex plane (p is the pressure), the cubic\nSchr\\\"odinger equation considered by the author is irrelevant to the\nequilibrium problem and the Grad-Shafranov equation.",
"arxiv_id": "physics/0307105",
"authors": [
"G. N. Throumoulopoulos",
"K. Hizanidis",
"H. Tasso"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevLett.92.249501",
"title": "Comment on \"Solitonlike Solutions of the Grad-Shafranov Equation\"",
"url": "https://arxiv.org/abs/physics/0307105"
},
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