The basic patterns of nonlinear fields and waves of the hydrodynamic type already can be discerned by the behavior of solutions to the simplest nonlinear partial differential equations of the first order. This chapter discusses solutions of such equations. Those wishing to study the theory of the first-order nonlinear equations more fully are advised to turn to the following literature: [1-4].
CITATION STYLE
Gurbatov, S. N., Rudenko, O. V., & Saichev, A. I. (2011). Nonlinear Equations of the First Order. In Nonlinear Physical Science (pp. 3–37). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-642-23617-4_1
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