On Certain Symmetry Reduction Systems of the Three-Wave Resonant Interaction in (2+1) Dimensions : General and Mathematical Physics

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概要

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• We study three systems of nonlinear differential equations obtained from the symmetry reduction of that three-wave resonant interaction (2D-3WR) in (2+1) dimensions. We show that two of such systems are reducible to Painleve III and Painleve VI equations, respectively, while for the third system a spectral problem is found via a prolongation technique. New solutions of the 2D-3WR equations can be determined through the relationships existing between the reduction variables and the original three-wave resonant fields.

• 理論物理学刊行会の論文
• 1986-10-25

著者

• Soliani Giulio

  Istitute Di Fisica Dell'universita Di Lecce

• Martina L

  Infn- Gruppo Di Lecce-sezione Di Bari

• LEO R.A.

  INFN- Gruppo di Lecce-Sezione di Bari

• SOLIANI G.

  INFN- Gruppo di Lecce-Sezione di Bari

• TONDO G.

  Corso di Dottorato in Matematica, Metodi e Applicazioni Politecnico di Torino

• Tondo G.

  Corso Di Dottorato In Matematica Metodi E Applicazioni Politecnico Di Torino

• SOLIANI Giulio

  Istituto di Fisica dell'Universita di Lecce

関連論文

• Analysis of a Modified Korteweg-de Vries Equation
• Soliton-Like Solutions for a Dispersive Nonlinear Wave Equation
• Noether Invariants and Complete Lie-Point Symmetries for Equations of the Hill Type : Particles and Fields
• On the Relation between Lie Symmetries and Prolongation Structures of Nonlinear Field Equations : Non-Local Symmetries
• On Certain Symmetry Reduction Systems of the Three-Wave Resonant Interaction in (2+1) Dimensions : General and Mathematical Physics

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