2008/05/28 by Hirotaka Yoshino, Yoshino, Hirotaka, Kohei Onda +1
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #Ionosphere and magnetosphere dynamics #Nonlinear Waves and Solitons #Plasma Physics (physics.plasm-ph) #Solar and Space Plasma Dynamics #astro-ph #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.0805.4435
15 pages, 5 figures, submitted to Phys. Rev. E
arxiv created 2008/05/28 · openalex publication_date 2008/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present the plane-symmetric solitonlike solutions of magnetostatic equilibria by solving the nonlinear Grad-Shafranov (GS) equation numerically. The solutions have solitonlike and periodic structures in the x and y directions, respectively, and z is the direction of plane symmetry. Although such solutions are unstable against the numerical iteration, we give the procedure to realize the sufficient convergence. Our result provides the definite answer for the existence of the solitonlike solutions that was questioned in recent years. The method developed in this paper will make it possible to study the axisymmetric solitonlike solutions of the nonlinear GS equation, which could model astrophysical jets with knotty structures.