The Inverse Spectral Method on the Plane

1993 ◽  
pp. 58-85 ◽  
Author(s):  
R. Coifman ◽  
A. S. Fokas
Keyword(s):  
Spectral Method ◽  
Inverse Spectral Method ◽  
Inverse Spectral

The Cauchy problem for the Kadomtsev–Petviashvili–I equation without the zero mass constraint

1999 ◽  
Vol 125 (1) ◽  
pp. 113-138 ◽  
Author(s):  
A. S. FOKAS ◽  
LI-YENG SUNG
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Spectral Method ◽  
Zero Mass ◽  
Schwartz Functions ◽  
Mass Constraint ◽  
The Cauchy Problem ◽  
Inverse Spectral Method ◽  
Existence And Regularity Results ◽  
Regularity Results

Existence and regularity results are obtained for the Cauchy problem for the Kadomtsev–Petviashvili–I equation by the inverse spectral method. The initial data are small Schwartz functions which are not assumed to satisfy the zero mass constraint ∫ℝdxq(x, y, 0)=0.

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