二维环状涡旋和多孤子非线性结构的上混合共振
Two-dimensional ring-like vortex and multisoliton nonlinear structures at the upper-hybrid resonance
摘要：
给出了描述上混合磁声波和色散磁声波之间非线性相互作用的二维方程组。方程的非局部非线性使得存在稳定的二维非线性结构成为可能。给出了该模型不存在崩溃的严格证明。我们已经发现了不同类型的非线性局域化结构，如基本孤子，径向对称涡，非旋转多孤子（双峰孤子，偶极和四极），旋转多孤子（方位角）。通过直接数值模拟，我们证明了具有负哈密顿量的二维基孤子是稳定的。
英文摘要：
Two-dimensional (2D) equations describing the nonlinear interaction between upper-hybrid and dispersive magnetosonic waves are presented. Nonlocal nonlinearity in the equations results in the possibility of existence of stable 2D nonlinear structures. A rigorous proof of the absence of collapse in the model is given. We have found numerically different types of nonlinear localized structures such as fundamental solitons, radially symmetric vortices, nonrotating multisolitons (two-hump solitons, dipoles and quadrupoles), and rotating multisolitons (azimuthons). By direct numerical simulations we show that 2D fundamental solitons with negative hamiltonian are stable.
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