Solving the Kadomtsev - Petviashvili equation with initial data not vanishing at large distances

M. Boiti, F. Pempinelli, A. K. Pogrebkov

Type: Article

Publication Date: 1997-06-01

Citations: 14

DOI: https://doi.org/10.1088/0266-5611/13/3/001

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Inverse Problems - View

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Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Towards an inverse scattering theory for non-decaying potentials of the heat equation	2001	M. Boiti F. Pempinelli A. K. Pogrebkov B. Prinari
+ PDF Chat	Inverse scattering theory of the heat equation for a perturbed one-soliton potential	2002	M. Boiti F. Pempinelli A. K. Pogrebkov B. Prinari
+	On the initial value problem for the KPII equation with data that do not decay along a line	2004	Javier Villarroel Mark J. Ablowitz
+ PDF Chat	On some nondecaying potentials and related Jost solutions for the heat conduction equation	2000	B. Prinari
+ PDF Chat	Building an extended resolvent of the heat operator via twisting transformations	2009	M. Boiti F. Pempinelli A. K. Pogrebkov B. Prinari
+	Initial Value Problems and Solutions of the Kadomtsev-Petviashvili Equation	2004	Mark J. Ablowitz Javier Villarroel

Works Cited by This (5)

Action	Title	Year	Authors
+	On the initial value problem for the Davey-Stewartson systems	1990	Jean‐Michel Ghidaglia Jean‐Claude Saut
+	Properties of solutions of the Kadomtsev–Petviashvili I equation	1994	M. Boiti F. Pempinelli A. K. Pogrebkov
+	Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schr�dinger problem and the KPI equation	1992	M. Boiti F. Pempinelli A. K. Pogrebkov M. C. Polivanov
+	Some new methods and results in the theory of (2+1)-dimensional integrable equations	1994	M. Boiti F. Pempinelli A. K. Pogrebkov
+ PDF Chat	Solutions of the KPI equation with smooth initial data	1994	M. Boiti F. Pempinelli A. K. Pogrebkov