Titlebook: Distributions in the Physical and Engineering Sciences, Volume 2; Linear and Nonlinear Alexander I. Saichev,Wojbor A. Woyczynski Textbook 2

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Distributions in the Physical and Engineering Sciences, Volume 2978-0-8176-4652-3Series ISSN 2296-5009 Series E-ISSN 2296-5017

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https://doi.org/10.1007/978-3-322-86336-2e begin with the model equations of gas dynamics, expand the Burgers–KPZ model to the multidimensional case and the related concentration fields, study in detail the Korteweg–de Vries (KdV) equations, in which one can observe the creation of solitary waves (solitons), and finally, discuss nonlinear flows in porous media.

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Other Standard Nonlinear Models of Higher Ordere begin with the model equations of gas dynamics, expand the Burgers–KPZ model to the multidimensional case and the related concentration fields, study in detail the Korteweg–de Vries (KdV) equations, in which one can observe the creation of solitary waves (solitons), and finally, discuss nonlinear flows in porous media.

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https://doi.org/10.1007/978-3-662-56210-9on. Since weak dispersion has little influence on the development of many nonlinear effects, we shall have a chance to observe typical behavior of these systems in strongly nonlinear regimes. The basic features of strongly nonlinear fields and waves are already evident in solutions of first-order no

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