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Inverse Problems, ISSN 0266-5611, 08/2007, Volume 23, Issue 4, pp. 1433 - 1444
A new type of the KP equation with self- consistent sources (KPESCS) first found by Mel'nikov ( 1983 Lett. Math. Phys. 7 129-36) is re-constructed via source... 
MATHEMATICS, APPLIED | MULTISOLITON SOLUTIONS | WAVES | KP EQUATION | CONSTRUCTION | HIERARCHIES | PHYSICS, MATHEMATICAL
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 8/2008, Volume 173, Issue 2, pp. 265 - 304
We prove that the KP-I initial-value problem $$\begin{cases} \partial_tu+\partial_x^3u-\partial_x^{-1}\partial_y^2u+\partial_x(u^2/2)=0 \,\text{ on... 
Mathematics, general | Mathematics | KORTEWEG-DEVRIES EQUATION | EXISTENCE | MATHEMATICS | INSTABILITY | SOLITONS | SOLITARY WAVES | ASYMPTOTIC STABILITY | Mathematics - Analysis of PDEs
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 2010, Volume 94, Issue 4, pp. 414 - 432
We prove that the KP-I initial-value problem, is locally well-posed in the space, On démontre que le problème de la valeur initiale pour KP-I, est localement... 
Local well-posedness | KP-I initial-value problem | Anisotropic Sobolev space | MATHEMATICS | MATHEMATICS, APPLIED | INITIAL-VALUE PROBLEM | GLOBAL WELL-POSEDNESS
Journal Article
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