Method of Differential Constraints

2021 ◽  
pp. 303-352
Author(s):  
Andrei D. Polyanin ◽  
Alexei I. Zhurov
Keyword(s):  
Differential Constraints ◽  
Method Of Differential Constraints

A differential constraints approach to partial invariance

1995 ◽  
Vol 6 (6) ◽  
pp. 631-637 ◽  
Author(s):  
Jeffrey Ondich
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Invariant Solutions ◽  
Differential Constraints ◽  
Partially Invariant Solutions ◽  
Prandtl Equations ◽  
Partial Invariance ◽  
Special Case ◽  
Method Of Differential Constraints

Ovsiannikov's method of partially invariant solutions of differential equations can be considered to be a special case of the method of differential constraints introduced by Yanenko and by Olver and Rosenau. Differential constraints are used to construct non-reducible partially invariant solutions of the boundary layer or Prandtl equations.

scholarly journals LINEAR DETERMINING EQUATIONS FOR DIFFERENTIAL CONSTRAINTS

2005 ◽  
Vol 47 (A) ◽  
pp. 109-120 ◽  
Author(s):  
OLEG V. KAPTSOV ◽  
ALEXEY V. SCHMIDT
Keyword(s):  
Differential Constraints
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