M. N. Kuznetsova, “On nonlinear hyperbolic differential equations related to the Klein–Gordon equation by differential substitutions”, Ufa Math. J., 4:3 (2012)

Loading [MathJax]/jax/output/SVG/config.js

Ufimskii Matematicheskii Zhurnal

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Ufimsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 3, Pages 86–103 (Mi ufa157)

This article is cited in 4 scientific papers (total in 4 papers)

On nonlinear hyperbolic differential equations related to the Klein–Gordon equation by differential substitutions

M. N. Kuznetsova

Ufa State Aviation Technical University, Ufa, Russia

Full-text PDF (577 kB) Citations (4)

References:

PDF

HTML

Abstract: We present a complete classification of nonlinear hyperbolic differential equations in two independent variables $u_{xy}=f(u,u_x,u_y)$ reduced to the Klein–Gordon equation $v_{xy}=F(v)$ by differential substitutions of the special form $v=\varphi(u,u_x)$.

Keywords: nonlinear hyperbolic equations, differential substitutions, the Klein–Gordon equation.

Received: 26.03.2012

Bibliographic databases:

Document Type: Article

UDC: 517.95

Language: Russian

Citation: M. N. Kuznetsova, “On nonlinear hyperbolic differential equations related to the Klein–Gordon equation by differential substitutions”, Ufa Math. J., 4:3 (2012)

Citation in format AMSBIB

\Bibitem{Kuz12}

\by M.~N.~Kuznetsova

\paper On nonlinear hyperbolic differential equations related to the Klein--Gordon equation by differential substitutions

\jour Ufa Math. J.

\yr 2012

\vol 4

\issue 3

\mathnet{http://mi.mathnet.ru/eng/ufa157}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3429921}

Linking options:

https://www.mathnet.ru/eng/ufa157

https://www.mathnet.ru/eng/ufa/v4/i3/p86

This publication is cited in the following 4 articles:

S. Ya. Startsev, “Conservation laws for hyperbolic equations: search algorithm for local preimage with respect to the total derivative”, J. Math. Sci. (N. Y.), 257:3 (2021), 358–365
V. M. Zhuravlev, “Multidimensional nonlinear Klein–Gordon equations and rivertons”, Theoret. and Math. Phys., 197:3 (2018), 1701–1713
I. V. Rakhmelevich, “O dvumernykh giperbolicheskikh uravneniyakh so stepennoi nelineinostyu po proizvodnym”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2015, no. 1(33), 12–19
Mariya N. Kuznetsova, Asli Pekcan, Anatoliy V. Zhiber, “The Klein–Gordon Equation and Differential Substitutions of the Form $v=\varphi(u,u_x,u_y)$”, SIGMA, 8 (2012), 090, 37 pp.

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	357
Full-text PDF :	162
References:	72
First page:	2

Registration to the website

Logotypes