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- The '''KP-I equation''' is the special case of the [[Kadomtsev-Petviashvili equation]] when the parameter <math>\lambda</math> is negative. Well-posedness is u *If one considers the fifth-order KP-I equation (replace <math>u_{xxx}</math> by <math>u_{xxxxx}</math>) then one has GWP i3 KB (537 words) - 06:21, 21 July 2007
- #REDIRECT [[Kadomtsev-Petviashvili equation]]45 bytes (3 words) - 04:59, 27 July 2006
- The '''KP-II equation''' is the special case of the [[Kadomtsev-Petviashvili equation]] when the The KP-II equation can be generalized to three dimensions (replace partial_yy with partial_yy2 KB (264 words) - 01:22, 17 March 2007
- <center>'''Benjamin-Ono equation'''</center> The Benjamin-Ono equation (BO) [[Bj1967]], [[On1975]], which models one-dimensional internal waves in4 KB (707 words) - 18:49, 25 October 2008
- {{equation | equation = <math>u_t + u_{xxx} = \pm u^3 u_x</math>2 KB (376 words) - 22:26, 4 March 2007
- {{equation | equation = <math>u_t + u_{xxx} = \pm u^4 u_x</math>3 KB (496 words) - 22:03, 4 March 2007
- {{equation | equation = <math>iu_t + \Delta u = \pm |u|^{p-1} u</math>2 KB (349 words) - 05:44, 21 July 2007
- #REDIRECT [[Hartree equation]]30 bytes (3 words) - 04:29, 29 July 2006
- 29 bytes (3 words) - 22:12, 3 September 2007
- The '''Korteweg-de Vries (KdV) equation''' is The equation is [[completely integrable]], and has infinitely many conserved quantities.2 KB (307 words) - 16:10, 14 September 2006
- #REDIRECT [[Ginzburg-Landau-Schrodinger equation]]50 bytes (3 words) - 06:36, 16 January 2007
- 44 bytes (3 words) - 15:47, 5 May 2007
- 34 bytes (5 words) - 06:35, 27 July 2006
- The '''Ginzburg-Landau-Schrodinger''' equation is The main focus of study for this equation is the formation of vortices and their dynamics in the limit <math>\epsilon2 KB (368 words) - 07:45, 2 October 2007
- #REDIRECT [[Ginsberg-Landau-Schrodinger equation]]50 bytes (3 words) - 14:24, 9 August 2006
- 34 bytes (5 words) - 06:34, 27 July 2006
- The (defocusing) '''modified Korteweg-de Vries (mKdV) equation''' is ...roughly equivalent to the <span class="SpellE">H^k</span> norm of u. This equation has been studied [[modified Korteweg-de Vries on R|on the line]], [[modifie987 bytes (149 words) - 07:41, 31 July 2006
- ...particularly important class of such equations is the [[Schrodinger maps]] equation. ...ates which can recover a full derivative for the inhomogeneous Schrodinger equation providing there is sufficient decay in space, and so one can still obtain w5 KB (844 words) - 10:50, 24 August 2006
- 56 bytes (5 words) - 23:09, 14 August 2006
- 36 bytes (5 words) - 06:35, 27 July 2006
Page text matches
- The (defocusing) '''modified Korteweg-de Vries (mKdV) equation''' is ...roughly equivalent to the <span class="SpellE">H^k</span> norm of u. This equation has been studied [[modified Korteweg-de Vries on R|on the line]], [[modifie987 bytes (149 words) - 07:41, 31 July 2006
- #REDIRECT [[Hartree equation]]30 bytes (3 words) - 04:29, 29 July 2006
- '''Liouville's equation''' It is a limiting case of the [[Sine-Gordon|sinh-gordon equation]].2 KB (294 words) - 10:16, 27 January 2009
- #REDIRECT [[Kadomtsev-Petviashvili equation]]45 bytes (3 words) - 04:59, 27 July 2006
- #REDIRECT [[Semilinear Schrodinger equation]]45 bytes (4 words) - 03:05, 29 July 2006
- #REDIRECT [[Semilinear Schrodinger equation]]45 bytes (4 words) - 04:02, 29 July 2006
- #REDIRECT [[GKdV-3 equation]]29 bytes (3 words) - 20:06, 9 August 2006
- #REDIRECT [[GKdV-4 equation]]29 bytes (3 words) - 20:06, 9 August 2006
- #REDIRECT [[Benjamin-Ono equation]]35 bytes (3 words) - 18:38, 10 August 2006
- #REDIRECT [[Sine-Gordon equation]]34 bytes (3 words) - 15:50, 5 May 2007
- The '''free Schrodinger equation''' ...dimensions. One can also consider the inhomogeneous (forced) Schrodinger equation2 KB (307 words) - 07:45, 15 June 2009
- A '''quasilinear equation''' is an equation of the form ...nontrivial) in the top order terms <math>D^k u</math>. Thus a quasilinear equation takes the schematic form907 bytes (155 words) - 15:35, 12 December 2007
- #REDIRECT [[Korteweg-de Vries equation]]40 bytes (4 words) - 06:24, 31 July 2006
- #REDIRECT [[Ginsberg-Landau-Schrodinger equation]]50 bytes (3 words) - 14:24, 9 August 2006
- #REDIRECT [[Ginzburg-Landau-Schrodinger equation]]50 bytes (3 words) - 06:36, 16 January 2007
- #REDIRECT [[Generalized Korteweg-de Vries equation]]52 bytes (5 words) - 06:14, 31 July 2006
- #REDIRECT [[Derivative non-linear Schrodinger equation]]56 bytes (5 words) - 07:27, 31 July 2006
- #REDIRECT [[modified Korteweg-de Vries equation]]49 bytes (5 words) - 07:40, 31 July 2006
- #REDIRECT [[Generalized Korteweg-de Vries equation]]52 bytes (5 words) - 20:05, 9 August 2006
- #REDIRECT [[Korteweg-de Vries equation on T]]45 bytes (6 words) - 05:00, 8 August 2006