Electrostatic Korteweg-deVries solitary waves in a plasma with Kappa-distributed electrons

Choi C.-R.; Min K.-W.; Rhee T.-N.

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Electrostatic Korteweg-deVries solitary waves in a plasma with Kappa-distributed electrons

机译：带有Kappa分布电子的等离子体中的静电Korteweg-deVries孤波

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The Korteweg-deVries (KdV) equation that describes the evolution of nonlinear ion-acoustic solitary waves in plasmas with Kappa-distributed electrons is derived by using a reductive perturbation method in the small amplitude limit. We identified a dip-type (negative) electrostatic KdV solitary wave, in addition to the hump-type solution reported previously. The two types of solitary waves occupy different domains on the κ(Kappa index)-V (propagation velocity) plane, separated by a curve corresponding to singular solutions with infinite amplitudes. For a given Kappa value, the dip-type solitary wave propagates faster than the hump-type. It was also found that the hump-type solitary waves cannot propagate faster than V 1.32.

机译：通过使用小幅度限制中的还原扰动方法，得出了描述具有Kappa分布电子的等离子体中非线性离子声孤立波的演化的Korteweg-deVries（KdV）方程。除了先前报告的驼峰型解决方案外，我们还确定了浸入式（负）静电KdV孤波。两种类型的孤立波在κ（Kappa指数）-V（传播速度）平面上占据不同的域，并由与无限振幅的奇异解相对应的曲线分开。对于给定的Kappa值，倾角型孤立波的传播要比驼峰型快。还发现驼峰型孤立波的传播速度不能超过V 1.32。

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《Physics of plasmas》 |2011年第9期|共4页
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Choi C.-R.; Min K.-W.; Rhee T.-N.;
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1. Electrostatic Korteweg-deVries solitary waves in a plasma with Kappa-distributed electrons [J] . Choi C.-R., Min K.-W., Rhee T.-N. Physics of plasmas . 2011,第9期

机译：带有Kappa分布电子的等离子体中的静电Korteweg-deVries孤波
2. Pseudopotential approach for dust acoustic solitary waves in dusty plasmas with kappa-distributed ions and electrons and dust grains having power law size distribution [J] . Banerjee Gadadhar, Maitra Sarit Physics of plasmas . 2015,第4期

机译：拟势方法在具有κ分布离子和电子且尘埃粒子具有幂律尺寸分布的尘埃等离子体中产生尘埃声孤立波
3. Determination of maximum electric field amplitude sustained by electron acoustic solitary waves in an unmagnetized plasma with kappa-distributed electrons [J] . Arghya Mukherjee AIP Advances . 2021,第3期

机译：用kappa分布的电子的电子声学孤立在未磁化等离子体中持续的最大电场幅度的确定
4. Modelling electrostatic solitary waves in positron-laden plasmas: shedding new light on an old problem [C] . V. McMullan, I. S. Elkamash, I. Kourakis EPS Conference on Plasma Physics . 2017

机译：在正电子居住的等离子体中建模静电孤立波：落下旧问题的新灯
5. Bernstein-Greene-Kruskal electron solitary waves in collisionless plasmas. [D] . Chen, Li-Jen. 2002

机译：无碰撞等离子体中的伯恩斯坦-格林-克鲁斯卡尔电子孤波。
6. Head-on collision and overtaking collision between an envelope solitary wave and a KdV solitary wave in a dusty plasma [O] . Heng Zhang, Wen-Shan Duan, Xin Qi, -1

机译：尘埃等离子体中包络孤波和KdV孤波的正面碰撞和超车碰撞
7. Determination of maximum electric field amplitude sustained by electron acoustic solitary waves in an unmagnetized plasma with kappa-distributed electrons [O] . Arghya Mukherjee 2021

机译：用kappa分布的电子在未磁化等离子体中的电子声学孤波维持的最大电场幅度的确定
8. Wave Number Shocks for the Tail of Korteweg-deVries Solitary Waves in Slowly Varying Media [R] . Allgaier, D. E. 1986

机译：Korteweg-deVries尾波的波数冲击缓慢变化的媒体中的孤波

Electrostatic Korteweg-deVries solitary waves in a plasma with Kappa-distributed electrons

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