Nonlinear interaction phenomenon of dust acoustic solitary and shock waves in dusty plasma
Corresponding Author
Abu Shahed Mohammad Moinuddin
Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Department of Mathematics, University of Chittagong, Chittagong, Bangladesh
Correspondence
Abu Shahed Mohammad Moinuddin, Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh.
Email: mion@cu.ac.bd
Search for more papers by this authorMohammad Shah Alam
Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, Bangladesh
Plasma Science and Technology Lab, Department of Electrical and Electronic Engineering, University of Rajshahi, Rajshahi, Bangladesh
Search for more papers by this authorMamunur Rashid Talukder
Plasma Science and Technology Lab, Department of Electrical and Electronic Engineering, University of Rajshahi, Rajshahi, Bangladesh
Search for more papers by this authorCorresponding Author
Abu Shahed Mohammad Moinuddin
Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Department of Mathematics, University of Chittagong, Chittagong, Bangladesh
Correspondence
Abu Shahed Mohammad Moinuddin, Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh.
Email: mion@cu.ac.bd
Search for more papers by this authorMohammad Shah Alam
Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, Bangladesh
Plasma Science and Technology Lab, Department of Electrical and Electronic Engineering, University of Rajshahi, Rajshahi, Bangladesh
Search for more papers by this authorMamunur Rashid Talukder
Plasma Science and Technology Lab, Department of Electrical and Electronic Engineering, University of Rajshahi, Rajshahi, Bangladesh
Search for more papers by this authorAbstract
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.
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