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

DOI

https://doi.org/10.12988/ijma.2016.611
Final published version

Eugeny Petrovich Kolpak
Sergei Evgenievich Ivanov

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.

Original language	English
Pages (from-to)	611-622
Number of pages	12
Journal	International Journal of Mathematical Analysis
Volume	10
Issue number	13-16
DOIs	https://doi.org/10.12988/ijma.2016.611
State	Published - 1 Jan 2016

Scopus subject areas

Mathematics(all)

Research areas

Nonlinear klein-gordon equation, Numerical methods, Partial differential equations, Sine-gordon equation

ID: 35972512