Normal form: Difference between revisions
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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: | [[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.