Lax-Pair Operators for Squared Eigenfunctions in the Inverse Scattering Transformations

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概要

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• The algorithm of Chen, Lee and Liu enables us to construct alternative Lax-pairoperators for the Korteweg-de Vries equation and the modified Korteweg-deVries equation. These Lax-pair operators stand as the Lax-pair operators for thesquared eigenfunction and the sum of squared eigenfunctions of the Ablowitz-Kaup-Newell-Segur inverse scattering transformation for these celebrated non-linear evolution equations. Present analysis completes series of our analysisshowing that the integro-differential type of Lax-pair operators derived by Chen,Lee and Liu are closely related to the Lax-pair operators for the known schemes ofthe inverse scattering transformation.

• 社団法人日本物理学会の論文
• 1982-12-15

著者

• Ichikawa Yoshi-hiko

  Institute Of Plasma Physics Nagoya University

• Iino Kazu-hiro

  Institute Of Plasma Physics Nagoya University

関連論文

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• New Species of Solitons (非線形波動現象の数理物理学(研究会報告))
• Nonlinear Transverse Oscillation of Elastic Beams under Tension
• Lax-Pair Operators for Squared Eigenfunctions in the Inverse Scattering Transformations
• Alternative Representations of the Inverse Scattering Transformation for the K-dV Equation and the Modified K-dV Equation
• Interrelation of Alternative Sets of Lax-Pairs for a Generalized Nonlinear Schrodinger Equation
• A Generalization of Inverse Scattering Method
• Cusp Soliton of a New Integrable Nonlinear Evolution Equation

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