Nonlinear Equations of the First Order

  • S. N. Gurbatov
  • O. V. Rudenko
  • A. I. Saichev
Part of the Nonlinear Physical Science book series (NPS)


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].


Nonlinear Equation Directivity Pattern Optic Wave Hydrodynamic Type Riemann Solution 
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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • S. N. Gurbatov
    • 1
  • O. V. Rudenko
    • 2
  • A. I. Saichev
    • 3
  1. 1.Radiophysics DepartmentNizhny Novgorod State UniversityNizhny NovgorodRussia
  2. 2.Physics DepartmentMoscow State UniversityMoscowRussia
  3. 3.Radiophysics DepartmentNizhny Novgorod State UniversityNizhny NovgorodRussia

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