The Modified Korteweg-de Vries Equation
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- Wadati Miki
- Institute for Optical Research, Kyoiku University
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Abstract
It is shown that the Modified Korteweg-de Vries equation can be solved exactly by the “inverse scattering method.” As the special case, the N-soliton solution is obtained explicitly. It is found that N-soliton collision in the Modified Korteweg-de Vries equation is essentially the same as that in the Korteweg-de Vries equation; N-soliton collision is described as the successive collisions of two solitons and there is no effect of multiparticle collisions. Moreover, it is shown that the Modified Korteweg-de Vries equation has new families of the solution.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 34 (5), 1289-1296, 1973
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390001204189632896
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- NII Article ID
- 210000083558
- 130003735795
- 110001962349
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- NII Book ID
- AA00704814
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- BIBCODE
- 1973JPSJ...34.1289W
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 7669001
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed