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

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

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Soliton <strong>in</strong> Plasmas (contd.)L<strong>in</strong>ear <strong>waves</strong> <strong>in</strong> v r<strong>plasmas</strong> are studied by assum<strong>in</strong>g a harmonic wavei( k .−ωt)solut<strong>ion</strong> ~ e<strong>in</strong> the small amplitude limit.When the wave amplitude is sufficiently large the non<strong>l<strong>in</strong>ear</strong>ities cannotbe ignored.<strong>Non</strong><strong>l<strong>in</strong>ear</strong>ities <strong>in</strong> <strong>plasmas</strong> enter through‣ Harmonic generat<strong>ion</strong> (<strong>in</strong>volv<strong>in</strong>g fluid convect<strong>ion</strong>),‣ <strong>Non</strong><strong>l<strong>in</strong>ear</strong> Lorentz force,‣ Ponderomotive force, trapp<strong>in</strong>g of the particles <strong>in</strong> the wavepotential etc.Importance <strong>in</strong> PlasmasThe study of soliton is important to understand the particle orenergy transport mechanisms <strong>in</strong> <strong>plasmas</strong>.5

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