SYM Paclet Symbol

See Also »|More About »

DeterminingEqs

DeterminingEqs[eq]
gives the determining equations of a differential equation or a system of differential equations.

MORE INFORMATION

To use DeterminingEqs, you first need to load the SYM Package using Needs["SYM`"].

The result is a list {infinitesimalGenerator, system, simplifiedSystem} where infinitesimalGenerator gives the form of the infinitesimal generator used and system and simplifiedSystem are the system of determining equations as first obtained and after simplifications respectively.

The following options can be given :

	Verbose	False	whether to explicitly show each step taken for obtaining the determining equations
	Hint	{}	explicitly specify the substitutions of the equations that will be used
	Conditional	False	whether to find the conditional symmetries instead
	Jetspace	0	whether to find the generalized symmetries of specific order
	KnownFunctions	{}	list any functions that will be considered as known
	SimplifyDeterminingEqs	True	whether to simplify the determining equations before solving them
	LogFile	False	whether to log the procedure
	ComplexDomain	False	whether to regard the uknown functions as complex

Basic Examples (4)

The determining equations of a non linear ODE. Here, substituting y" is chosen from the way the equation is given:

The determining equations of the KdV equation, here the substitution is chosen automatically:

The determining equations of a system of ODES:

Click for copyable input

The determining equations of a system of PDES:

ClassicalSymmetries

SYM Package

SYM Overview