Note on gauge invariance and conservation laws for a class of nonlinear partial differential equations

1974 ◽  
Vol 15 (4) ◽  
pp. 453-457
Author(s):  
Yoiti Watanabe
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conservation Laws ◽  
Gauge Invariance ◽  
Nonlinear Partial Differential Equations ◽  
Partial Differential

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.

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