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Contents

1INTRODUCTION 5

1.1 Nonlinear Science . ................ ............. 5

1.2 Plasma as the Fourth State of Matter . .................. 6

1.2.1 Another Definition of Plasma .................... 6

1.2.2 Plasma Parameters .......................... 6

1.3 Fluid Description of Plasma ......................... 7
1.4 Perturbation Analysis for Nonlinear Waves ................. 8

1.5 Nonlinear Schrödinger (NLS) Equation ................... 9

1.6 Acoustic Waves in Plasmas .......................... 10

1.6.1 Ion Acoustic Waves (IAWs) ..................... 10
1.7 Dust Acoustic Waves (DAWs) ........................ 11

1.7.1 Debye Length ................ ............. 13

1.7.2 Neutrality Condition ......................... 13

1.7.3 Coupling Parameter (CP) ...................... 13
1.8 Dusty Plasmas in Space and Laboratory .................. 14

1.8.1 In Space ... ............................ 14

1.8.2 In Laboratories ............................ 17
1.9 Nonlinear Waves .................. ............. 19

1.9.1 Solitary Waves Solitons ........................ 19

1.9.2 Shocks ..... ............................ 21

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