Non-linear electrostatic waves in pair-ion plasmas - National Centre ...

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Double layer in Pair-ion Plasmas (contd.)Numerical solutions of compressive DLs (μ
6. Dissipative shocks and solitons in Pair-ion PlasmasKadomstev-Petviashvili-Burgers (KPB) Equation in PI PlasmasElectrostatic structures are studied in unmagnetized, weakly dissipative PI plasmas inthe presence of weak transverse perturbations.The dissipation in the system is incorporated by taken into account the kinematicviscosity of both the species.Normalized set of dynamic equations are written as(Continuity equation for +veions)(Momentum equations for+ve ions)(Continuity equation for -veions)(Momentum equations for-ve ions)u∂n+∂t∂ ∂+ ( n+u+) + ( n+v+) = 0∂x∂y∂u∂uϕ 1 ∂n2∂+ ++ ∂+++ u++ v+= − − + η+ 2∂t∂x∂y∂xn+∂x∂x2∂ v+ ∂v+∂v+∂ϕ1 ∂n+∂ u++ u++ v+= − − + η+ 2∂t∂x∂y∂yn+∂y∂y∂u−∂t∂v∂t−∂n−∂t+ u+ u−−∂ ∂+ ( n−u−) + ( n−v−) = 0∂x∂y∂u−∂x∂v∂x−+ v+ v−−∂u−∂y∂v∂y−2∂ϕβ ∂n−∂ u−= − + η− 2∂xn−∂x∂x2∂ϕβ ∂n−∂ v= − + η−2∂yn ∂y∂y−∂u−27
Page 1 and 2: Nonlinear electrostatic structures
Page 3 and 4: 1. Soliton‣ Soliton is a nonlinea
Page 5 and 6: Soliton in Plasmas (contd.)Linear w
Page 7 and 8: 2. Brief Introduction of pair-ion P
Page 9 and 10: Production of pair-ion (fullerene)
Page 11 and 12: Electrostatic Waves in pair-ion Pla
Page 13 and 14: Nonlinear Electrostatic Waves in Pa
Page 15 and 16: Nonlinear Electrostatic Waves in pa
Page 17 and 18: Nonlinear Electrostatic Waves in pa
Page 19 and 20: Nonlinear Electrostatic Waves in Pa
Page 21 and 22: Double Layer in Plasmas5. Double La
Page 23 and 24: Double layer in Pair-ion Plasmas (c
Page 25: Double layer in Pair-ion Plasmas (c
Page 29 and 30: Dissipative shocks and solitons in
Page 31 and 32: Dissipative shocks and solitons in
Page 33 and 34: 7. Conclusion• Linear and nonline
Page 35: Thank You35

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