Difference between revisions of "Normal form"

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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]]
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[[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.