弱缓变非均匀等离子体中孤子的弯曲
Bending of solitons in weak and slowly varying inhomogeneous plasma
摘要：
本文研究了在弱缓变非均匀离子密度存在下，离子声孤子在非磁化等离子体中传播时，孤子在二维平面内的弯曲。利用约化微扰技术，在选定的未微扰离子密度分布下，得到了修正的Kadomtsev- Petviashvili方程.方程的精确解表明，孤立波的相位被一个与未扰动的非均匀离子密度有关的函数改变，使孤立波在二维平面内弯曲，而孤立波的振幅保持不变
英文摘要：
Bending of solitons in two dimensional plane is presented in the presence of weak and slowly varying inhomogeneous ion density for the propagation of ion acoustic soliton in unmagnetized cold plasma with isothermal electrons. Using reductive perturbation technique, a modified Kadomtsev- Petviashvili equation is obtained with a chosen unperturbed ion density profile. Exact solution of the equation shows that the phase of the solitary wave gets modified by a function related to the unperturbed inhomogeneous ion density causing the soliton to bend in the two dimensional plane, whereas the amplitude of the soliton remaining constant
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