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On the three-dimensional Klein-Gordon equation with a cubic nonlinearity. / Kolpak, Eugeny Petrovich; Ivanov, Sergei Evgenievich.

в: International Journal of Mathematical Analysis, Том 10, № 13-16, 01.01.2016, стр. 611-622.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kolpak, EP & Ivanov, SE 2016, 'On the three-dimensional Klein-Gordon equation with a cubic nonlinearity', International Journal of Mathematical Analysis, Том. 10, № 13-16, стр. 611-622. https://doi.org/10.12988/ijma.2016.611

APA

Kolpak, E. P., & Ivanov, S. E. (2016). On the three-dimensional Klein-Gordon equation with a cubic nonlinearity. International Journal of Mathematical Analysis, 10(13-16), 611-622. https://doi.org/10.12988/ijma.2016.611

Vancouver

Kolpak EP, Ivanov SE. On the three-dimensional Klein-Gordon equation with a cubic nonlinearity. International Journal of Mathematical Analysis. 2016 Янв. 1;10(13-16):611-622. https://doi.org/10.12988/ijma.2016.611

Author

Kolpak, Eugeny Petrovich ; Ivanov, Sergei Evgenievich. / On the three-dimensional Klein-Gordon equation with a cubic nonlinearity. в: International Journal of Mathematical Analysis. 2016 ; Том 10, № 13-16. стр. 611-622.

BibTeX

@article{ead19f06296648e3b8966ee958f3c0fe,
title = "On the three-dimensional Klein-Gordon equation with a cubic nonlinearity",
abstract = "In this paper three-dimensional Klein-Gordon and sine-Gordon equations with a cubic nonlinearity are considered. The exact solution of the nonlinear three-dimensional Klein-Gordon equation is obtained. The dependence of the maximum amplitude on the parameters is studied. The approximate analytical solution for three-dimensional sine-Gordon equation is obtained and the error of solution is determined.",
keywords = "Nonlinear klein-gordon equation, Numerical methods, Partial differential equations, Sine-gordon equation",
author = "Kolpak, {Eugeny Petrovich} and Ivanov, {Sergei Evgenievich}",
year = "2016",
month = jan,
day = "1",
doi = "10.12988/ijma.2016.611",
language = "English",
volume = "10",
pages = "611--622",
journal = "International Journal of Mathematical Analysis",
issn = "1312-8876",
publisher = "Hikari Ltd.",
number = "13-16",

}

RIS

TY - JOUR

T1 - On the three-dimensional Klein-Gordon equation with a cubic nonlinearity

AU - Kolpak, Eugeny Petrovich

AU - Ivanov, Sergei Evgenievich

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this paper three-dimensional Klein-Gordon and sine-Gordon equations with a cubic nonlinearity are considered. The exact solution of the nonlinear three-dimensional Klein-Gordon equation is obtained. The dependence of the maximum amplitude on the parameters is studied. The approximate analytical solution for three-dimensional sine-Gordon equation is obtained and the error of solution is determined.

AB - In this paper three-dimensional Klein-Gordon and sine-Gordon equations with a cubic nonlinearity are considered. The exact solution of the nonlinear three-dimensional Klein-Gordon equation is obtained. The dependence of the maximum amplitude on the parameters is studied. The approximate analytical solution for three-dimensional sine-Gordon equation is obtained and the error of solution is determined.

KW - Nonlinear klein-gordon equation

KW - Numerical methods

KW - Partial differential equations

KW - Sine-gordon equation

UR - http://www.scopus.com/inward/record.url?scp=84994517637&partnerID=8YFLogxK

U2 - 10.12988/ijma.2016.611

DO - 10.12988/ijma.2016.611

M3 - Article

AN - SCOPUS:84994517637

VL - 10

SP - 611

EP - 622

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

SN - 1312-8876

IS - 13-16

ER -

ID: 35972512