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Computational Mathematics and Mathematical Physics

, Volume 58, Issue 11, pp 1792–1803 | Cite as

On Exact Solutions of the Oskolkov–Benjamin–Bona–Mahony–Burgers Equation

  • A. I. Aristov
Article
  • 3 Downloads

Abstract

For the Oskolkov–Benjamin–Bona–Mahony–Burgers equation with a linear source, families of exact solutions expressed in terms of elementary and special functions are constructed. It is shown that these families contain solutions growing to infinity on finite time intervals, bounded on any finite time interval (but not globally), and bounded globally in time.

Keywords:

Oskolkov–Benjamin–Bona–Mahony–Burgers equation Sobolev-type equations exact solutions blowup of solutions 

Notes

ACKNOWLEDGMENTS

This research was supported by the Program of the President of the Russian Federation for Support of Young PhDs, project no. MK-1829.2018.1.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Faculty of Computational Mathematics and Cybernetics, Moscow State UniversityMoscowRussia

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