Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
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概要
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A Backlund transformation for the Boussinesq equation is given in the bilinear form. It is shown that the Backlund transformation generates an important class of nonlinear evolution equations exhibiting N-soliton solutions. They are a modified Boussinesq equation, a higher order water wave equation introduced by Kaup and a coupled equations whose N-soliton solution reduces to that of the nonlinear Schrodinger equation with normal dispersion. The relation between the Backlund transformation and the inverse scattering method is also discussed.
- 理論物理学刊行会の論文
- 1977-03-25
著者
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Hirota Ryogo
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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Satsuma Junkichi
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
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Satsuma Junkichi
Department of Applied Mathematics and Physics, Kyoto University
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HIROTA Ryogo
Department of Mathematics and Physics, Ritsumeikan University
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