Nonlinear interaction phenomenon of dust acoustic solitary and shock waves in dusty plasma

• Published in: Contributions to plasma physics (1988) Vol. 60; no. 7
• Main Authors: Moinuddin, Abu Shahed Mohammad, Alam, Mohammad Shah, Talukder, Mamunur Rashid
• Format: Journal Article
• Language: English
• Published: Weinheim WILEY‐VCH Verlag GmbH & Co. KGaA 01.08.2020; Wiley Subscription Services, Inc
• Subjects: Density ratio; Dust; dust acoustic solitary waves; Dusty plasmas; Electrons; ePLK method; head‐on collision; Heavy ions; Ion temperature; Ions; kappa distribution; Light ions; Nonlinear systems; Nonlinearity; Shock; Shock waves; Solitary waves; Temperature ratio
• ISSN: 0863-1042; 1521-3986
• DOI: 10.1002/ctpp.201900124

The effects of head‐on collision on dust acoustic (DA) solitary and shock waves in dusty plasma are investigated considering positively charged inertial dust, Boltzmann distributed negatively charged heavy ions, positively charged light ions, and superthermal electrons in the plasma system. The nonlinear Korteweg‐de‐Vries (KdV) Burger equations are derived taking the extended Poincaré‐Lighthill‐Kuo method into account to study the characteristic properties of nonlinearity and production of solitary shock due to collisions. The study reveals that the amplitudes and widths of the DA shock waves are decreasing with increasing viscosity, electron to dust density ratio, and dust to ion temperature ratio, while they are increasing due to the presence of superthermal electrons. The nonlinearity of DA waves are enhanced with increasing density ratio of electron to dust and temperature ratio of dust to ion and electron, respectively, but it is reducing with superthermal electrons. The phase shifts of DA solitary waves are found to decrease with rising superthermality of electrons and increase with the density ratio of electron to dust.