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Genus-Two Solutions to the Kadomtsev — Petviashvili Equation

In: Differential Equations Theory, Numerics and Applications

Author

Listed:
  • E. Cahyono

    (FKIP Haluoleo University)

  • E. Van Groesen

    (University of Twente, Department of Applied Mathematics)

  • E. Soewono

    (Institut Teknologi Bandung, Department of Mathematics & Center of Mathematics)

  • S. Subarinah

    (FKIP University of Mataram)

Abstract

In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Petviashvili (KP) equation. We investigate some analytically known solutions: the two-soliton interacting waves and their periodic equivalents. It is shown that the behaviour of the interaction of two-solitons can be classified by a parameter A ≥ 0 (depending on the amplitudes of pure one-solitons and the angles of interactions). In the limiting case when A = 0, it is found that the two-soliton reduces to a three-branch soliton.

Suggested Citation

  • E. Cahyono & E. Van Groesen & E. Soewono & S. Subarinah, 1997. "Genus-Two Solutions to the Kadomtsev — Petviashvili Equation," Springer Books, in: E. van Groesen & E. Soewono (ed.), Differential Equations Theory, Numerics and Applications, pages 233-243, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5157-3_13
    DOI: 10.1007/978-94-011-5157-3_13
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