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(ugly table moved)
 
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I've moved the old table of equations over here, awaiting cleanup. [[User:Tao|Terry]] 00:39, 27 July 2006 (EDT)


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</center></div>
<center>The big three: Wave, Schrodinger, KdV</center>
{| style="width: 100.0%; mso-cellspacing: 1.5pt; mso-padding-alt: 0in 0in 0in 0in" width="100%" border="1"
| style="padding: .75pt .75pt .75pt .75pt" |
[[Wave equations]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[Schrodinger equations]]
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[[KdV equations]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[Wave estimates]]
* [[wave:Linear estimates]]
* [[wave:Bilinear estimates]]
* [[wave:Multilinear estimates]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[Schrodinger estimates]]
* [[schrodinger:Linear estimates]]
* [[schrodinger:Bilinear estimates]]
* [[schrodinger:Trilinear estimates]]
* [[schrodinger:Multilinear estimates]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[kdv:Airy estimates]]
* [[kdv:Linear estimates]]
* [[kdv:Bilinear estimates]]
* [[kdv:Trilinear estimates]]
* [[kdv:Multilinear estimates]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[wave:semilinear Semilinear NLW/NLKG]]
* [[wave:Scattering for NLW]]
* [[references:Scattering for NLKG]]
* [[wave:Sine-Gordon]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[schrodinger:Semilinear NLS]]
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[[kdv:gKdV]]
* [[kdv:gKdV on R^+]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[wave:nlw-2 Quadratic NLW/NLKG]
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[[schrodinger:Quadratic NLS]]
* [[schrodinger:Quadratic_NLS_on_R NLS-2 on R]
* [[schrodinger:Quartic_NLS_on_R^2 NLS-2 on R^2]]
* [[schrodinger:Quadratic_NLS_on_R^3 NLS-2 on R^3]]
* [[schrodinger:Quadratic_NLS_on_T NLS-2 on T]]
* [[schrodinger:Quadratic_NLS_on_T^2 NLS-2 on T^2]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[kdv:kdv KdV]] (gKdV-1)
* [[kdv:kdv on R KdV on R]]
* [[kdv:kdv on T KdV on T]]
* [[kdv:kdv on R+ KdV on R^+]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
Cubic NLW/NLKG
* [[wave:nlw-3 on R NLW-3 on R]]
* [[wave:nlw-3 on R^2 NLW-3 on R^2]]
* [[wave:nlw-3 on R^3 NLW-3 on R^3]]
| style="padding: .75pt .75pt .75pt .75pt" |
Cubic NLS
* [[schrodinger:Cubic_NLS_on_R NLS-3 on R]]
* [[schrodinger:Cubic_NLS_on_R^2 NLS-3 on R^2]]
* [[schrodinger:Cubic_NLS_on_R^3 NLS-3 on R^3]]
* [[schrodinger:Cubic_NLS_on_R^4 NLS-3 on R^4]]
* [[schrodinger:Cubic_NLS_on_T NLS-3 on T]]
* [[schrodinger:Cubic_NLS_on_T^2 NLS-3 on T^2]]
* [[schrodinger:Cubic_NLS_on_T^4 NLS-3 on T^4]]
* [[schrodinger:Cubic_NLS_on_RxT NLS-3 on R x T]]
* [[schrodinger:Cubic_NLS_on_S^6 NLS-3 on S^6]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[kdv:mkdv Modified KdV]] (gKdV-2)
* [[kdv:mKdV on R mKdV on R]]
* [[kdv:mKdV on T mKdV on T]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[wave:nlw-4 Quartic NLW/NLKG]]
| style="padding: .75pt .75pt .75pt .75pt" |
Quartic NLS
* [[schrodinger:Quartic_NLS_on_R NLS-4 on R]]
* [[schrodinger:Quartic_NLS_on_T NLS-4 on T]]
* [[schrodinger:Quartic_NLS_on_R^2 NLS-4 on R^2]]
| style="padding: .75pt .75pt .75pt .75pt" |
gKdV-3
* [[kdv:gKdV_3 on R gKdV-3 on R]]
* [[kdv:gKdV_3 on T gKdV-3 on T]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
Quintic NLW/NLKG
* [[wave:nlw-5 on R NLW-5 on R]]
* [[wave:nlw-5 on R^2 NLW-5 on R^2]]
* [[wave:nlw-5 on R^3 NLW-5 on R^3]]
| style="padding: .75pt .75pt .75pt .75pt" |
Quintic NLS
* [[schrodinger:Quintic_NLS_on_R NLS-5 on R]]
* [[schrodinger:Quintic_NLS_on_R^2 NLS-5 on R^2]]
* [[schrodinger:Quintic_NLS_on_R^3 NLS-5 on R^3]]
* [[schrodinger:Quintic_NLS_on_T NLS-5 on T]]
| style="padding: .75pt .75pt .75pt .75pt" |
gKdV-4
* [[kdv:gKdV_4 on R gKdV-4 on R]]
* [[kdv:gKdV_4 on T gKdV-4 on T]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
Septic NLW/NLKG
* [[wave.htm#nlw-7 on R NLW-7 on R]]
* [[wave.htm#nlw-7 on R^2 NLW-7 on R^2]]
* [[wave.htm#nlw-7 on R^3 NLW-7 on R^3]]
| style="padding: .75pt .75pt .75pt .75pt" |
Septic NLS
* [[schrodinger:Septic_NLS_on_R NLS-7 on R]]
* [[schrodinger:Septic_NLS_on_R^2 NLS-7 on R^2]]
* [[schrodinger:Septic_NLS_on_R^3 NLS-7 on R^3]]
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|-
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[[wave:dnlw D-NLW]]
* [[wave:gwp d-nlw GWP for D-NLW]]
* [[wave:gwp d-nlkg GWP for D-NLKG]]
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[[schrodinger:d-nls D-NLS]]
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[[kdv:hierarchy The KdV hierachy]]
|-
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[[wave:dnlw-2 Quadratic DNLW]]
* [[wave:mkg MKG]]
** [[wave:mkg on R MKG on R]]
** [[wave:mkg on R^2 MKG on R^2]]
** [[wave:mkg on R^3 MKG on R^3]]
** [[wave:mkg on R^4 MKG on R^4]]
** [[wave:mkg on R^5+ MKG on R^5+]]
* [[wave:YM Yang Mills]]
** [[references:YM on R^2 YM on R^2]]
** [[wave:YM on R^3 YM on R^3]]
** [[wave:YM on R^4 YM on R^4]]
** [[wave:ym on R^5+ YM on R^5+]]
** [[wave:YMH on R^3 YMH on R^3]]
* [[wave:Maxwell-Dirac Maxwell-Dirac]]
* [[wave:Dirac-Klein-Gordon Dirac-Klein-Gordon]]
* [[wave:two-speed DNLW Two-speed DNLW-2]]
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Quadratic DNLS
* [[schrodinger:Maxwell-Schrodinger Maxwell-Schrodinger]]
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|-
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Cubic DNLS
* [[schrodinger:dnls-3 on R DNLS-3 on R]]
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|-
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[[wave:ddnlw DDNLW]]
* [[wave:wm Wave maps]]
** [[wave:wm on R WM on R]]
** [[wave:wm on R^2 WM on R^2]]
* [[wave:two-speed DDNLW Two-speed DDNLW]]
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DDNLS
* [[schrodinger:smaps Schrodinger Maps]]
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|-
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[[wave:Quasilinear Quasilinear NLW]]
* [[wave:gwp qnlw GWP for QNLW]]
* [[wave:Einstein Einstein equations]]
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Quasilinear NLS
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|-
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[[schrodinger:Hartree Hartree equation]]
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[[kdv:Benjamin-Ono Benjamin-Ono equation]]
|}
<div class="MsoNormal" style="text-align: center"><center>
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</center></div>
<center>[[misc.html Other equations]]<nowiki>:</nowiki></center>
* Schrodinger-Ginsberg-Landau
* [[misc:Vlasov-Maxwell Vlasov-Maxwell]]
* [[misc:KP The Kadomtsev-Petvisasvhili equations]]
** [[misc:KP-I Kadomtsev-Petviashvili I]]
** [[misc:KP-II Kadomtsev-Petviashvili II]]
* [[misc:Zakharov Zakharov]]
** [[misc:Zakharov-1 Zakharov on R and T]]
** [[misc:Zakharov-2 Zakharov on R^2]]
** [[misc:Zakharov-3 Zakharov on R^3]]
** Klein-Gordon-Zakharov
** [[misc:WS Other Wave-Schrodinger systems]]
*** Ishimori
*** Davey-Stewartson
*** Yukawa

Latest revision as of 16:13, 14 August 2010