Alternative Representations of the Inverse Scattering Transformation for the K-d V Equation and the modified K-d V Equation

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概要

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• An alternative representation of the inverse scattering transformation has been found accidentally for the Korteweg-de Vries equation. Transformation of the eigenfunction reduces this new representation to the original scheme discovered by Gardner, Greene, Kruskal and Miura. A similar analysis for the modified Korteweg-de Vries equation leads to a new representation of the inverse scattering transformation.

• 核融合科学研究所の論文

著者

• Iino Kazuhiro

  Research Information Center Institute Of Plasma Physics Nagoya University

• ICHIKAWA YoshiHiko

  Research Information Center, Institute of Plasma Physics, Nagoya University

• Ichikawa Yoshihiko

  Research Information Center Institute Of Plasma Physics Nagoya University

関連論文

• Lax-Pair Operators for Squared-Sum and Squared-Difference Eigenfunctions
• Interrelation of Alternative Sets of Lax-Pairs for a Generalized Nonlinear Schrodinger Equation
• Alternative Representations of the Inverse Scattering Transformation for the K-d V Equation and the modified K-d V Equation

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