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Singular solitons interaction of dust ion acoustic waves in the framework of Korteweg de Vries and Modified Korteweg-de Vries equations with (r,q) distributed electrons
Contributions to Plasma Physics ( IF 1.6 ) Pub Date : 2022-06-09 , DOI: 10.1002/ctpp.202100245
Uday Narayan Ghosh 1
Affiliation  

Two nonlinear evolution equations (NLEEs), namely, Korteweg-de Vries (KdV) and modified Korteweg-de Vries (MKdV) are derived from the dust hydrodynamic model of collisionless, unmagnetized dusty plasma with electrons following double spectral velocity distribution, that is, (r,q) distribution. Regular as well as singular analytic solutions of derived KdV equations and MKdV equations are obtained separately with the aid of the Hirota Bilinear method. Two singular soliton solutions of both KdV and MKdV equations are obtained separately. The efficiency and interactive approach of the heuristic Hirota Bilinear method leads to multiple singular soliton solutions for its beautiful algebraic technique which generates solitons solutions as well as singular solitons explicitly. Then the significance of multi singular soliton interaction has been studied for KdV singular solitons and for MKdV singular solitons in the critical parameter set.

中文翻译:

尘埃离子声波在 Korteweg de Vries 框架中的奇异孤子相互作用和具有 (r,q) 分布电子的修正 Korteweg-de Vries 方程

两个非线性演化方程 (NLEE),即 Korteweg-de Vries (KdV) 和改进的 Korteweg-de Vries (MKdV),是从电子遵循双谱速度分布的无碰撞、未磁化尘埃等离子体的尘埃流体动力学模型推导出来的,即( r , q) 分配。借助广田双线性方法,分别获得了导出的 KdV 方程和 MKdV 方程的正则解析解和奇异解析解。分别获得了 KdV 和 MKdV 方程的两个奇异孤子解。启发式 Hirota 双线性方法的效率和交互方法因其优美的代数技术导致了多个奇异孤子解决方案,该技术可以显式生成孤子解决方案和奇异孤子。然后研究了关键参数集中KdV奇异孤子和MKdV奇异孤子的多奇异孤子相互作用的意义。
更新日期:2022-06-09
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