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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)
Looks like the old table of contents is no longer necessary, so I've deleted it (it can still
 
be found in the older versions of this talk page). [[User:Tao|Terry]] 14:27, 30 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]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[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]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[kdv:gKdV]]
 
* [[kdv:gKdV on R^+]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[wave:nlw-2 Quadratic NLW/NLKG]
| style="padding: .75pt .75pt .75pt .75pt" |
[[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]]
| style="padding: .75pt .75pt .75pt .75pt" |
 
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[wave:dnlw D-NLW]]
 
* [[wave:gwp d-nlw GWP for D-NLW]]
* [[wave:gwp d-nlkg GWP for D-NLKG]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[schrodinger:d-nls D-NLS]]
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[[kdv:hierarchy The KdV hierachy]]
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[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]]
| style="padding: .75pt .75pt .75pt .75pt" |
Quadratic DNLS
 
* [[schrodinger:Maxwell-Schrodinger Maxwell-Schrodinger]]
| style="padding: .75pt .75pt .75pt .75pt" |
 
|-
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
Cubic DNLS
 
* [[schrodinger:dnls-3 on R DNLS-3 on R]]
| style="padding: .75pt .75pt .75pt .75pt" |
 
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[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]]
| style="padding: .75pt .75pt .75pt .75pt" |
DDNLS
 
* [[schrodinger:smaps Schrodinger Maps]]
| style="padding: .75pt .75pt .75pt .75pt" |
 
|-
| style="padding: .75pt .75pt .75pt .75pt" |
[[wave:Quasilinear Quasilinear NLW]]
 
* [[wave:gwp qnlw GWP for QNLW]]
* [[wave:Einstein Einstein equations]]
| style="padding: .75pt .75pt .75pt .75pt" |
Quasilinear NLS
| style="padding: .75pt .75pt .75pt .75pt" |
 
|-
| style="padding: .75pt .75pt .75pt .75pt" |
 
| style="padding: .75pt .75pt .75pt .75pt" |
[[schrodinger:Hartree Hartree equation]]
| style="padding: .75pt .75pt .75pt .75pt" |
[[kdv:Benjamin-Ono Benjamin-Ono equation]]
|}
 
<div class="MsoNormal" style="text-align: center"><center>
----
</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

Revision as of 18:27, 30 July 2006

Looks like the old table of contents is no longer necessary, so I've deleted it (it can still be found in the older versions of this talk page). Terry 14:27, 30 July 2006 (EDT)