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The interaction of relativistically intense laser§radiation with plasma is rich in nonlinear processes§like laser pulse self-modulation and self-focusing,§wake-field excitation, wave-breaking and the creation§of relativistic solitary structures. §The creation and evolution of solitary structures§during relativistic laser-plasma-interaction is§discussed in this book.§A relativistic Maxwell-fluid model is formulated to§investigate these solitary structures. We discuss the§creation of pre-solitons and their transition to§post-solitons. The longitudinal and transversal§stability of stationary soliton solutions to the§Maxwell-fluid model are examined by numerical linear§stability analysis. The transversal instability is§identified to be the dominant process.§Relativistic electrostatic wave-breaking often is§part of the nonlinear evolution of unstable§relativistic solitons. A process that will§eventually lead to wave-breaking for every§electrostatic wave in a cold relativistic plasma is§presented.§The formalism allows a generalization of known§criteria to the§relativistic regime and to estimate the breaking time.
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