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Exact Solutions to One Nonlinear Sobolev Equation

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Abstract

Several families of exact solutions expressed in terms of elementary and special functions are constructed for one nonlinear Sobolev-type equation. The qualitative behavior of these solutions is analyzed.

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References

  1. A. G. Sveshnikov, A. B. Al’shin, M. O. Korpusov, and Yu. D. Pletner, Linear and Nonlinear Sobolev-Type Equations (Fizmatlit, Moscow, 2007) [in Russian].

    MATH  Google Scholar 

  2. A. D. Polyanin, V. F. Zaitsev, and A. I. Zhurov, Solution Methods for Nonlinear Equations of Mathematical Physics and Mechanics (Fizmatlit, Moscow, 2005) [in Russian].

    Google Scholar 

  3. A. D. Polyanin and V. F. Zaitsev, Handbook of Nonlinear Equations of Mathematical Physics: Exact Solutions (Fizmatlit, Moscow, 2002) [in Russian].

    Google Scholar 

  4. M. O. Korpusov, Destruction in Nonclassical Nonlocal Equations (Librokom, Moscow, 2011) [in Russian].

    Google Scholar 

  5. N. Hayashi, E. Kaikina, P. Naumkin, and I. Shishmarev, Asymptotics for Dissipative Nonlinear Equations (Springer, Berlin, Heidelberg, 2006).

    MATH  Google Scholar 

  6. N. A. Kudryashov, Methods of Nonlinear Mathematical Physics (Intellekt, Dolgoprudnyi, 2010) [in Russian].

    Google Scholar 

  7. V. A. Il’in and E. G. Poznyak, Fundamentals of Mathematical Analysis (Fizmatlit, Moscow, 2002), Part 1.

    Google Scholar 

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Funding

This work was supported by an RF Presidential Grant for the Government Support of Young PhD Candidates, project no. MK-1829.2018.1.

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Authors and Affiliations

  1. Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    A. I. Aristov

Authors
  1. A. I. Aristov
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Correspondence to A. I. Aristov.

Additional information

Russian Text © The Author(s), 2019, published in Vestnik Moskovskogo Universiteta, Seriya 15: Vychislitel’naya Matematika i Kibernetika, 2019, No. 4, pp. 11–21.

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Aristov, A.I. Exact Solutions to One Nonlinear Sobolev Equation. MoscowUniv.Comput.Math.Cybern. 43, 156–165 (2019). https://doi.org/10.3103/S0278641919040034

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  • DOI: https://doi.org/10.3103/S0278641919040034

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