Hybrid Approach Perturbed KdVB Equation

  • Alexander V. Bogdanov
  • Vladimir V. Mareev
  • Elena N. Stankova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9158)

Abstract

The solution of nonintegrable nonlinear equations is very difficult even numerically and practically impossible by standard analytical technic. New view, offered by heterogeneous computational systems, gives some new possibilities, but also need novel approaches for numerical realization of pertinent algorithms. We shall give some examples of such analysis on the base of nonlinear wave’s evolution study in multiphase media with chemical reaction.

Keywords

Nonintegrable nonlinear equations 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Karpman, V.I., Maslov, E.M.: JETP 2(8), 537–548 (1977). (In Russian)MathSciNetGoogle Scholar
  2. 2.
    Keener, J.R., Mclaughlin, D.W.: Phys. Rev. A 16(2), 777–790 (1977)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Maslov, V.P.: Complex WKB method in nonlinear equations. Moscow, Nauka, (1977). (In Russian)Google Scholar
  4. 4.
    Bogdanov, A.V., Vakulenko, S.A., Strelchenya, V.M.: Tchislennye Metody Mechaniky Sploshnoy Sredy 11(3), 18–26 (1980). (InRussian)Google Scholar
  5. 5.
    Witham, G.B.: Linear and nonlinear waves. John Wiley & Sons, NewYork–London (1974)Google Scholar
  6. 6.
    Bogdanov, A., Stankova, E., Mareev, V.: High performance algorithms for multiphase and multicomponent media. In: 14th Ship stability workshop, UTMSPACE, Malaysia, pp. 242–245 (2014)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Alexander V. Bogdanov
    • 1
  • Vladimir V. Mareev
    • 1
  • Elena N. Stankova
    • 1
  1. 1.Faculty of Applied Mathematics and Control ProcessesSaint-Petersburg State UniversitySaint-PetersburgRussia

Personalised recommendations