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īŴŧŰ ŕñàŧŰūĞě ǡðLj| Àů¨ż(33%Ǜ Un[r Ū(ŧŰYtf)Àů¨ż"Ǥ)Àů¨ż&733%Ů ǜ<3ǥŪ7&ŧŰ!Ůǜ(Àů¨ż) 196070 ø(U n[r(ŧŰ;ŗ3>7("ǤUn[rģŭý#7É*>3ǥ Un[r(ŧŰ) 19 xŽ¯·&3"ƿ<3ǥ(ǙǤƶƑĖƕƉROX [-mXSoǢJohn Scott-RusselǣƺŅAuâ(Ă#Ƶû"@=ïĂ(ß ųň&ƎÈAĘ!Ǥńļ"ãǟAƔǤň(Ă#Ƶû(ǍAƗãǟý Ać3ǥ>AƨĦ=ŕƩŠ%ģŭý#! 19 xŽį3"&cP\ģ ŭý9KdV ģŭý%$Ĝķ>3Ǥ>;(ģŭý)ǖƄĂ Ĉ¨ģŭý"<Ǥāħ)(:%ģŭýAĕĠàŠĔŇĮŞƾ"ǥ 1960 øą·&ǤǖƄĂĶÝĚ´#3¬(ģÅ;>;(ǖ ƄĂň´(ģŭý&ǍĊǔ3<ǤOraltV&:=ĠƣŶ"ßųň(Ǝ ÈŋĚ=ƏĦ;&%!Ǥ>;(ßųň)Un[r#ÊÄ> 3ǥ>AÚľ#!ŧŰǝƮŠ&Ƹì=#&%("ǥ ÍǧUn[r(ňĂ

Transcript of À o¨ |( 3 3% Û...åPlpZDrKt # mý7]ETreoM # mý7 Çݱà(Ñ 0 `% # mý" å (: & äUn[r # mý( ³...

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1960 70

19- John Scott-Russel

19KdV

1960

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2

KP 2 KdV

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KdV KP

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KdV1960 1970

1980

19

KdV

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1980

1980

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KdVKdV

KdV KPKP KP KdV

KP

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×

− ×

+ × = 0

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3 3 3

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1990

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1980

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KdV KP

Korteweg-de Vries Kadomtsev-PeviashviliDiederik Korteweg Gustav de Vries 19 20

β2 β3

β1 β4 β5

α0

α5

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Boris B. Kadomtsev Vladimir I. Petviashvili 1970

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Peter Lax KdV

Lax 1960

1984 3 1984 4

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1985 10 1991 4 1992 10 2003 4 2004 1 2014 4

1998 Daiwa Adrian Prize 9