Normal form: Difference between revisions

From DispersiveWiki
Jump to navigationJump to search
No edit summary
 
No edit summary
Line 3: Line 3:
Normal forms should not be confused with the unrelated concept of a [[null form]].
Normal forms should not be confused with the unrelated concept of a [[null form]].


[[Category:Transform]]
[[Category:Transforms]]

Revision as of 06:44, 31 July 2006

The method of normal forms transforms the Hamiltonian of an equation via a canonical transformation to remove (or attenuate) non-resonant portions of the nonlinearity, replacing them with more tractable terms. For instance, normal forms can replace a quadratic nonlinearity with a cubic one. They are particularly useful in nonlinear wave equations.

Normal forms should not be confused with the unrelated concept of a null form.