کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758570 1462607 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear ion acoustic waves scattered by vortexes
ترجمه فارسی عنوان
امواج صوتی یون غیرخطی که توسط گردابه پراکنده می شوند
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• Generalizing the KP equation, a new system is formulated to include a vorticity.
• The integrability of the KP equation is broken by the introduction of a vortex term.
• Scattered by the vortex, the KP solitons undergo three-dimensional deformation.
• Beyond a threshold intensity of the vorticity, the scattered waves become chaotic.
• The Painlevé test delineates how the KP hierarchy is embedded in the new system.

The Kadomtsev–Petviashvili (KP) hierarchy is the archetype of infinite-dimensional integrable systems, which describes nonlinear ion acoustic waves in two-dimensional space. This remarkably ordered system resides on a singular submanifold (leaf) embedded in a larger phase space of more general ion acoustic waves (low-frequency electrostatic perturbations). The KP hierarchy is characterized not only by small amplitudes but also by irrotational (zero-vorticity) velocity fields. In fact, the KP equation is derived by eliminating vorticity at every order of the reductive perturbation. Here, we modify the scaling of the velocity field so as to introduce a vortex term. The newly derived system of equations consists of a generalized three-dimensional KP equation and a two-dimensional vortex equation. The former describes ‘scattering’ of vortex-free waves by ambient vortexes that are determined by the latter. We say that the vortexes are ‘ambient’ because they do not receive reciprocal reactions from the waves (i.e., the vortex equation is independent of the wave fields). This model describes a minimal departure from the integrable KP system. By the Painlevé test, we delineate how the vorticity term violates integrability, bringing about an essential three-dimensionality to the solutions. By numerical simulation, we show how the solitons are scattered by vortexes and become chaotic.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 38, September 2016, Pages 277–287
نویسندگان
, ,