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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2019 Volume 105, Issue 4, Pages 507–518 (Mi mzm11977)

This article is cited in 4 papers

Exact Solutions of a Nonclassical Nonlinear Equation of the Fourth Order

A. I. Aristov

Lomonosov Moscow State University

Abstract: For a nonclassical nonlinear partial differential equation of the fourth order, ten families of exact solutions expressed in terms of elementary and special functions are constructed. These results are compared with previously obtained exact solutions of the equation.

Keywords: nonlinear partial differential equations, Sobolev-type equations, exact solutions.

UDC: 517.955.8

Received: 22.02.2018

DOI: 10.4213/mzm11977


 English version:
Mathematical Notes, 2019, 105:4, 503–512

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© Steklov Math. Inst. of RAS, 2024