Numerical Solutions and Pole Expansion for Perturbed Korteweg-de Vries Equation
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概要
- 論文の詳細を見る
Solutions of a perturbed Korteweg-de Vries equation are investigated both numerically and analytically for the case when the perturbation terms representing wave amplification and damping are given by the Hilbert transforms. Numerical simulations of the initial value problem indicate that ultimate states consisting of a row of interacting nearly identical pulses become irregular and non-steady even when the perturbation terms are sufficiently small. Individual pulses with equilibrium amplitude arising in numerical simulations can be explained by approximate quasi-stationary solutions derived by the energy balance relation. Certain special or approximate solutions are examined in terms of the pole expansion.
- 社団法人日本物理学会の論文
- 1994-01-15
著者
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Kawahara Takuji
Department Of Physics Faculty Of Science Kyoto University
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Kawahara Takuji
Department Of Aeronautics And Astronautics Graduate School Of Engineering Kyoto University
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Hosoda Sho
Department of Physics, Faculty of Science, Kyoto University
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Hosoda Sho
Department Of Physics Faculty Of Science Kyoto University
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Kawahara Takuji
Department of Physics, Faculty of Science, Kyoto University
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