Solitons and Spectral Transform for the Kadomtsev-Petviashvili Equation
A new spectral transform for the Kadomtsev-Petviashvili equation allows us to include wave solitons in the theory of the Inverse Spectral Transform. The Cauchy problem is completely solved. The orthogonality relations for the eigenfunctions of the associated time dependent Schrödinger equation are obtained.
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- M. Boiti, J. JP Léon and F. Pempinelli, “Spectral Transform and Orthogonality Relations for the KPI equation”, to appear in Phys. Lett. A.Google Scholar
- M. Boiti, J. JP. Léon, F. Pempinelli and A. Pogrebkov, “Solitons and Spectral Transform for the DSI and KPI equations”, to appear in the Proceedings of the Dubna Workshop on “Solitons and their applications” (August 1989).Google Scholar
- M. Boiti, F. Pempinelli and A. Pogrebkov, preprint in preparation.Google Scholar