Exact Solutions of a Second-Order Nonlinear Partial Differential Equation

2018 ◽  
Vol 54 (9) ◽  
pp. 1137-1146
Author(s):  
A. I. Aristov
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Exact Solutions ◽  
Nonlinear Partial Differential Equation ◽  
Second Order ◽  
Partial Differential

NOTES ON PARA-HERMITE–EINSTEIN SPACETIMES

2012 ◽  
Vol 09 (01) ◽  
pp. 1250008 ◽  
Author(s):  
MACIEJ PRZANOWSKI ◽  
SEBASTIAN FORMAŃSKI ◽  
ADAM CHUDECKI
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Nonlinear Partial Differential Equation ◽  
Second Order ◽  
Einstein Metric ◽  
Partial Differential

Para-Hermite–Einstein spacetimes are considered. It is shown that any para-Hermite–Einstein metric is locally defined by one nonlinear partial differential equation of the second order for one function.

Frequencies of Axial Vibrations of the Beam

1997 ◽  
Author(s):  
Livija Cveticanin
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Analytical Methods ◽  
Nonlinear Partial Differential Equation ◽  
Second Order ◽  
Suggested Method ◽  
Longitudinal Vibrations ◽  
Partial Differential ◽  
Nonlinear Force ◽  
Axial Vibrations

Abstract In this paper the free longitudinal vibrations of the beam on which the strong nonlinear force of Winkler type acts are analyzed. The vibrations are described with a second order strong nonlinear partial differential equation. Various approximate analytical methods for solving this equation are developed in the paper. The lowest frequency of vibration obtained by the suggested method are compared. It can be seen that some differences appear.

scholarly journals Exact solutions of (1+1)-Dimensional Kaup-Kupershmidt equation

2021 ◽  
Vol 12 (2) ◽  
pp. 3029-3031
Author(s):  
Anjali Verma, Et. al.
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Exact Solutions ◽  
Analytical Solutions ◽  
Nonlinear Partial Differential Equation ◽  
Partial Differential

In this paper, we have obtained new analytical solutions of Kaup-Kupershmidt equation by using one method. We conclude that One method present a wider applicability for managing nonlinear partial differential equation. The solutions obtained in this paper are new.

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