Invariant variational principles and conservation laws for some nonlinear partial differential equations with constant coefficients – I

2002 ◽  
Vol 14 (9) ◽  
pp. 1389-1401 ◽  
Author(s):  
A.H. Khater ◽  
M.H.M. Moussa ◽  
S.F. Abdul-Aziz
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conservation Laws ◽  
Variational Principles ◽  
Nonlinear Partial Differential Equations ◽  
Partial Differential ◽  
Constant Coefficients

scholarly journals Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 164-169
Author(s):  
Maysaa Mohamed Al Qurashi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conservation Laws ◽  
Nonlinear Partial Differential Equations ◽  
Conformable Derivative ◽  
Partial Differential ◽  
Systems Of Pdes ◽  
First Time ◽  
Conservation Theorem

AbstractIn this paper, we examine conservation laws (Cls) with conformable derivative for certain nonlinear partial differential equations (PDEs). The new conservation theorem is used to the construction of nonlocal Cls for the governing systems of equation. It is worth noting that this paper introduces for the first time, to our knowledge, the analysis for Cls to systems of PDEs with a conformable derivative.

scholarly journals LINEARIZATION OF PFAFF DIFFERENTIAL EQUATIONS FOR THE CONDITIONAL QUANTILE OF MULTIVARIATE PROBABILITY DISTRIBUTIONS

2017 ◽  
Vol 21 (10) ◽  
pp. 29-39
Author(s):  
I.S. Orlova
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Probability Distributions ◽  
Nonlinear Partial Differential Equations ◽  
Linear Functions ◽  
Partial Differential ◽  
Gaussian Distributions ◽  
Conditional Quantile ◽  
Point Transformations ◽  
Constant Coefficients

The article is devoted to the task of bringing the point transformations of nonlinear partial differential equations of Pfaff for conditional quantile multi- variate probability distributions to the Pfaff differential equations with constant coefficients. Solutions of the equations of Pfaff with constant coefficients are linear functions representing the conditional quantile of multivariate Gaussian distributions.

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