The parabolic equation for wave packets

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Table of contents

1 Introduction 
2 Linear interference of random waves and the appearance of abnormally large waves 
2.1 Introductory remarks
2.2 Mechanism of dispersive focusing of freak wave appearance
2.3 Various forms of freak waves in case of swell and wind wave interaction
2.4 Wave interaction with a vertical barrier
2.5 Conclusion
3 Two-soliton interactions in nonlinear models of long water waves 
3.1 Introductory remarks
3.2 Observation of solitons in the coastal zone and the basic equations
3.3 Two-soliton interactions in the framework of the Korteweg – de Vries equation
3.4 Two-soliton interactions in the framework of the modified Korteweg – de Vries equation
3.5 Conclusion
4 Soliton turbulence in the framework of some integrable long-wave models
4.1 Introductory remarks
4.2 Nonlinear dynamics of irregular soliton ensembles in the framework of the Korteweg – de Vries equation
4.3 Unipolar soliton gas in the framework of the modified Korteweg – de Vries equation
4.4 Freak waves in soliton fields in the framework of the modified Korteweg – de Vries equation
4.5 Conclusion
5 Conclusions