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Nonlinear Equations of the First Order

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Abstract

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].

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References

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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). Nonlinear Equations of the First Order. In: Waves and Structures in Nonlinear Nondispersive Media. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23617-4_1

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