Abstract
Equations of mathematical physics and, in particular, nonlinear partial differential equations of the first order appear as a result of certain idealizations. This allows one to achieve elegance of mathematical models, a possibility to use them in order to predict, in an adequately quantitative way, important aspects of various real world phenomena. But any idealizations come at a cost. Factors unaccounted for by these idealizations gradually, and sometimes abruptly, begin to dominate, while the initial models cease to be able to describe what actually happens.
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© 2011 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Gurbatov, S.N., Rudenko, O.V., Saichev, A.I. (2011). Generalized Solutions of Nonlinear Equations. In: Waves and Structures in Nonlinear Nondispersive Media. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23617-4_2
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DOI: https://doi.org/10.1007/978-3-642-23617-4_2
Publisher Name: Springer, Berlin, Heidelberg
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