Weakly normal subgroup: Difference between revisions

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'''Modified Mexican hat''', '''Modified Morlet''' and '''Dark soliton''' or '''Darklet wavelets''' are derived from [[Hyperbolic function|hyperbolic]] (sech) (bright soliton) and hyperbolic tangent (tanh) (dark soliton) pulses. These functions are derived intuitively from the solutions of the nonlinear [[Schrödinger equation]] in the anomalous and normal dispersion regimes in a similar fashion to the way that the Morlet and the Mexican hat are derived.
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The modified Morlet is defined as:
<math>\psi_2(t)=C_{\psi_2}\cos(\omega_0 t){\rm sech}(t)</math>
 
 
{{mathanalysis-stub}}
[[Category:Wavelets]]

Latest revision as of 21:22, 15 November 2014

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