A new reductive perturbation formalism for ion acoustic cnoidal waves

被引：4

作者：

Olivier, Carel P. ^{[1
]}

Verheest, Frank ^{[2
,3
]}

机构：

[1] North West Univ, Sch Math & Stat Sci, Pure & Appl Analyt, Mahikeng Campus, ZA-2745 Mmabatho, South Africa

[2] Univ Ghent, Sterrenkundig Observ, Krijgslaan 281, B-9000 Ghent, Belgium

[3] Univ KwaZulu Natal, Sch Chem & Phys, ZA-3209 Pietermaritzburg, South Africa

来源：

JOURNAL OF PLASMA PHYSICS | 2022年 / 88卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

plasma nonlinear phenomena; plasma waves; PROPAGATION; PLASMA;

D O I：

10.1017/S0022377822000964

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A new formalism for the derivation of the cnoidal wave solution is presented by introducing a new set of initial conditions and a subacoustic moving frame. The resulting set of solutions is also constructed in a way that ensures the conservation of number density. The solutions are illustrated in a variety of graphical representations, and the effect of the amplitude's magnitude on the cnoidal wave form is presented. Interestingly, it is shown that the wavelength of the solutions decreases with amplitude. In addition, it is shown that the small-amplitude cnoidal wave solutions converge to linear waves in the small-amplitude limit.

引用

页数：24

共 21 条

[1] Abramowitz M., 1965, HDB MATH FUNCTIONS F, V95, P75605
[2] Nonlinear cnoidal waves and solitary structures in unmagnetized plasmas with generalized (r, q) distributed electrons
Ali, Sidra
Masood, W.
Rizvi, H.
Mirza, Arshad M.
[J]. PHYSICA SCRIPTA, 2020, 95 (07)
[3] Nonlinear ion-acoustic cnoidal wave in electron-positron-ion plasma with nonextensive electrons
Farhadkiyaei, Forough
Dorranian, Davoud
[J]. CONTRIBUTIONS TO PLASMA PHYSICS, 2018, 58 (01) : 42 - 55
[4] TOPICS ON SOLITONS IN PLASMAS
ICHIKAWA, YH
[J]. PHYSICA SCRIPTA, 1979, 20 (3-4) : 296 - 305
[5] Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma
Jain, S. L.
Tiwari, R. S.
Mishra, M. K.
[J]. PHYSICS OF PLASMAS, 2012, 19 (10)
[6] Effect of Ion Beam on Low-Frequency Cnoidal Waves in a Non-Maxwellian Dusty Plasma
Kaur, Nimardeep
Singh, Manpreet
Kohli, Ripin
Saini, Nareshpal Singh
[J]. IEEE TRANSACTIONS ON PLASMA SCIENCE, 2018, 46 (04) : 768 - 774
[7] PROPAGATION OF ION-ACOUSTIC CNOIDAL WAVE
KONNO, K
MITSUHASHI, T
ICHIKAWA, YH
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1979, 46 (06) : 1907 - 1914
[8] Korteweg D. J., 1895, PHILOS MAG, V39, P422, DOI [10.1080/14786449508620739, DOI 10.1080/14786449508620739]
[9] Experimental observation of cnoidal waveform of nonlinear dust acoustic waves
Liu, Bin
Goree, J.
Flanagan, T. M.
Sen, Abhijit
Tiwari, Sanat Kumar
Ganguli, Gurudas
Crabtree, Chris
[J]. PHYSICS OF PLASMAS, 2018, 25 (11)
[10] Ion-acoustic cnoidal waves in a quantum plasma
Mahmood, S.
Haas, F.
[J]. PHYSICS OF PLASMAS, 2014, 21 (10)

← 1 2 3 →