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

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Dissipative shocks and solitons in Pair-ion PlasmasUsing transformationζ = k( ξ + χ −Uτ ),the solution of KPB equation is given by,hereϕ(ζ , χ,τ )k=C10B=Soliton solution625+3252C ⎡⎢1− tan hAB ⎣2C ⎡⎢sechAB ⎣2C10BC10B2⎧ 6C× ⎨ζ+ χ − (⎩ 25B2⎧ 6C× ⎨ζ+ χ − (⎩ 25B⎫⎤+ D)τ ⎬⎥⎭⎦⎫⎤+ D)τ ⎬⎥⎭⎦(wave number of nonlinear wave) has been defined.(21)The KP equation is obtained by putting C=0 in KPB equation, which givessoliton solution such aswhere12Bϕ(ζ , χ,τ ) = sechAU = −( 4B+ D)2, λ =[ ζ + χ −Uτ]+ β2andTβ =T1 -+(22)have been defined.30
Dissipative shocks and solitons in Pair-ion PlasmasTβ = -T+For β=1.4 (left)and β=1.6 (right)T −> T +For β=0.8 (left)and β=0.6 (right)T −> T +η0 += 0.15/2η = 0 −η0+(β )31
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 and 26: Double layer in Pair-ion Plasmas (c
Page 27 and 28: 6. Dissipative shocks and solitons
Page 29: Dissipative shocks and solitons in
Page 33 and 34: 7. Conclusion• Linear and nonline
Page 35: Thank You35

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