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Generalized two-dimensional burgers and Kadomtsev-Petviashvili equations and colliding solitons

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Lettere al Nuovo Cimento (1971-1985)

Summary

We prove that a large class of modified Kadomtsev-Petviashvili’s (KP) or two-dimensional Burger’s (2DB) equations can be reduced to the KP or 2DB when two suitable conditions hold. We prove that the « nearly-concentric KdV » belongs to this class and the resonance interaction of « nearly-cylindrical solitons » is investigated too.

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Authors and Affiliations

  1. Istituto Matematico, Faeoltá di Ingegneria dell’ Università, Palermo, Italia

    T. Brugarino

  2. Dipartimento di Matematica dell’ Università della Calabria, Arcavacata di Rende Cosenza, Italia

    P. Pantano

Authors
  1. T. Brugarino
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  2. P. Pantano
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Additional information

This work was supported by GNFM-CNR and MPI of Italy.

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Brugarino, T., Pantano, P. Generalized two-dimensional burgers and Kadomtsev-Petviashvili equations and colliding solitons. Lett. Nuovo Cimento 41, 187–190 (1984). https://doi.org/10.1007/BF02747272

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  • DOI: https://doi.org/10.1007/BF02747272

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