Model Equations and Methods of Finding Their Exact Solutions

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


The first part of this book has a very general character. It is devoted to nonlinear waves and wave structures (such as shock fronts, solitary waves, cellular multidimensional structures and some others) considered from the position of the general nonlinear wave theory. This approach is especially important for familiarization with the material of a big area of nonlinear physics — the theory of propagation of nondispersive and weakly dispersive waves, and also related to it fields of science united by similar mathematical models and methods of their analysis. Hence Part I may be used for educational purposes.


Exact Solution Nonlinear Wave Shock Front Burger Equation Wave Beam 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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