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1 Àþ·Á¤ÎÇÈ
1.1 ³Ê»Ò¤òÅÁ¤ï¤ëÇÈ
1.2 ÇÈÆ°ÊýÄø¼°
1.3 °ÌÁê®Å٤ȷ²Â®ÅÙ
1.4 °ìÊý¸þ¤Ë¿Ê¤àÇÈ
1.5 ÇÈÆ°ÊýÄø¼°¤Î²ò
1.6 ʬ»¶·Ï¤Ç¤ÎÇȤÎÅÁÇÅ
2 ÈóÀþ·Á³Ê»Ò¤ÈK-dVÊýÄø¼°
2.1 ÈóÀþ·Á³Ê»Ò¤È¸ÉΩÇÈ
2.2 ¸ÉΩÇȤȳʻҤα¿Æ°
2.3 K-dVÊýÄø¼°
2.4 ʬ»¶¸ú²Ì¤ÈÈóÀþ·Á¸ú²Ì
2.5 K-dVÊýÄø¼°¤Î·¸¿ô¤ÎÊѹ¹
2.6 K-dVÊýÄø¼°¤Îɸ½à·Á
2.7 K-dVÊýÄø¼°¤ÎGalileiÊÑ´¹
3 K-dVÊýÄø¼°¤Î2¥½¥ê¥È¥ó²ò
3.1 ¸ÉΩÇȤÎÁê¸ßºîÍѤȥ½¥ê¥È¥ó
3.2 2¥½¥ê¥È¥ó²ò¤Î½àÈ÷
3.3 K-dVÊýÄø¼°¤Î2¥½¥ê¥È¥ó²ò
3.4 2¥½¥ê¥È¥ó²ò¤Î¶ñÂÎÎã
3.5 K-dVÊýÄø¼°¤ÎÊݸÎÌ
3.6 K-dVÊýÄø¼°¤Î½é´üÃÍÌäÂê
3.7 ¥½¥ê¥È¥ó¤È¤µ¤¶ÇÈ
3.8 ¥½¥ê¥È¥ó¤¬¸½¤ì¤ëʪÍý·Ï¡½¥×¥é¥º¥Þ¤Î¥¤¥ª¥ó¥×¥é¥º¥ÞÇÈ
3.9 ÊÑ·Á¤µ¤ì¤¿K-dVÊýÄø¼°¤È¥½¥ê¥È¥ó
4 ¸ÍÅijʻÒ
4.1 ¸ÍÅijʻҤΥ½¥ê¥È¥ó
4.2 ¥½¥ê¥È¥ó¤Î¼ÁÎÌ, ±¿Æ°ÎÌ, ¥¨¥Í¥ë¥®¡¼
4.3 ¸ÍÅijʻҤÎ2¥½¥ê¥È¥ó²ò¡Êµ¡Ë
4.3 ¸ÍÅijʻҤÎ2¥½¥ê¥È¥ó²ò¡Ê¶¡Ë¡½Äɤ¤±Û¤·¾×ÆÍ
4.5 ¸ÍÅijʻҤÎ2¥½¥ê¥È¥ó²ò¡Ê·¡Ë¡½ÀµÌ̾×ÆÍ
4.6 ÈóÀþ·ÁLC¤Ï¤·¤´·Á²óÏ©
5 ʬ»¶¤Î¶¯¤¤·Ï
5.1 ¹âÄ´ÇȤÎȯÀ¸¤Èʬ»¶¸ú²Ì
5.2 ʬ»¶¤Î¶¯¤¤·Ï¤ÈÈóÀþ·ÁSchrodingerÊýÄø¼°
5.3 ÈóÀþ·ÁSchrodingerÊýÄø¼°¤ÎÊñÍí¥½¥ê¥È¥ó
5.4 ºÆ¤Óʬ»¶¸ú²Ì¤ÈÈóÀþ·Á¸ú²Ì¤Ë¤Ä¤¤¤Æ
5.5 ÊÑÄ´ÉÔ°ÂÄê
5.6 sine-GordonÊýÄø¼°
6 K-dV·Á¤ÎÊýÄø¼°
6.1 ÈóÀþ·Á³Ê»Ò¤ÎϢ³Âζá»÷¡Êµ¡Ë¡½K-dVÊýÄø¼°
6.2 ÈóÀþ·Á³Ê»Ò¤ÎϢ³Âζá»÷¡Ê¶¡Ë¡½ÊÑ·Á¤µ¤ì¤¿K-dVÊýÄø¼°
6.3 ʬ»¶À¤ÈÈóÀþ·ÁÀ¤ÎÄà¹ç¤¤
6.4 ¶õ´ÖȯŸ¤òµ½Ò¤¹¤ëK-dVÊýÄø¼°
6.5 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȡʵ¡Ë¡½K-dVÊýÄø¼°
6.6 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȡʶ¡Ë¡½¹â¼¡¶á»÷
6.7 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇÈ¡Ê·¡Ë¡½2¼¡¸µK-dVÊýÄø¼°
6.8 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȡʸ¡Ë¡½±ßÅûK-dVÊýÄø¼°
7 ÈóÀþ·ÁSchrodingerÊýÄø¼°
7.1 2¼¡¸µ¤ÎÈóÀþ·ÁÀ¤ò¤â¤Ä·Ï
7.2 3¼¡¸µ¤ÎÈóÀþ·ÁÀ¤ò¤â¤Ä·Ï
7.3 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȤÎÈóÀþ·ÁSchrodingerÊýÄø¼°
7.4 Á²¶áŸ³«¤ÎÊýË¡
8 ¹ÅĤÎÊýË¡
8.1 K-dVÊýÄø¼°
8.2 D-±é»»»Ò¤ÎÀ¼Á
8.3 2¼¡¸µK-dVÊýÄø¼°
8.4 ¥½¥ê¥È¥ó¤Î¶¦ÌÄÁê¸ßºîÍÑ
8.5 ÊÑ·Á¤µ¤ì¤¿K-dVÊýÄø¼°
9 µÕ»¶ÍðË¡
9.1 K-dVÊýÄø¼°¤ÈSchrodingerÊýÄø¼°
9.2 sech2x¤Î¥Ý¥Æ¥ó¥·¥ã¥ë
9.3 ¸ÇÍÃͤλþ´Ö°Í¸À
9.4 µÕ»¶ÍðË¡
9.5 ¥½¥ê¥È¥ó²ò
10 ÈóÀþ·ÁLC¤Ï¤·¤´²óÏ©
10.1 ÈóÀþ·Á¥¥ã¥Ñ¥·¥¿¤ÎÆÃÀ
10.2 ¾®¿¶ÉýÀµ¸¹ÇȤÎÅÁÇŤÈʬ»¶¼°
10.3 ¾®¿¶Éý¥Ñ¥ë¥¹¤ÎÅÁÇŤÈʬ»¶
10.4 ¥½¥ê¥È¥ó¤ÎÎ嵯
10.5 2¸Ä¤Î¥½¥ê¥È¥ó¤Î¾×ÆÍ
10.6 ¥½¥ê¥È¥ó¤Î¥¨¥Í¥ë¥®¡¼
10.7 ¼å¤¤»¶°ï¤ò´Þ¤à²óÏ©
10.8 ÉԶѰì²óÏ©¤Î¥½¥ê¥È¥ó
10.9 ²óÏ©¤ÎÉÔ½ãʪ¤È¥½¥ê¥È¥ó
10.10 ̵¾×Æ;׷âÇȤȥ½¥ê¥È¥ó
10.11 Àµ¸¹ÇȤˤè¤ë¥½¥ê¥È¥ó¤ÎÎ嵯¤È½é´üÇÈ·Á¤Ø¤Î²óµ¢
10.12 ´ðËÜÇȤÈÂè2¹âÄ´ÇȤÎÁê¸ßºîÍÑ
10.13 Áê¸ß¥¤¥ó¥À¥¯¥¿¥ó¥¹¤Î¤¢¤ëLC¤Ï¤·¤´·Á²óÏ©¤Î¸ÉΩÇÈ
10.14 µ°Æ»ÉÔ°ÂÄê
ÉÕÏ¿1. ÁжÊÀþ´Ø¿ô¤Ë¤Ä¤¤¤Æ
ÉÕÏ¿2. ήÂΤÎÊýÄø¼°¤Ë¤Ä¤¤¤Æ
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1 Àþ·Á¤ÎÇÈ
1.1 ³Ê»Ò¤òÅÁ¤ï¤ëÇÈ
1.2 ÇÈÆ°ÊýÄø¼°
1.3 °ÌÁê®Å٤ȷ²Â®ÅÙ
1.4 °ìÊý¸þ¤Ë¿Ê¤àÇÈ
1.5 ÇÈÆ°ÊýÄø¼°¤Î²ò
1.6 ʬ»¶·Ï¤Ç¤ÎÇȤÎÅÁÇÅ
2 ÈóÀþ·Á³Ê»Ò¤ÈK-dVÊýÄø¼°
2.1 ÈóÀþ·Á³Ê»Ò¤È¸ÉΩÇÈ
2.2 ¸ÉΩÇȤȳʻҤα¿Æ°
2.3 K-dVÊýÄø¼°
2.4 ʬ»¶¸ú²Ì¤ÈÈóÀþ·Á¸ú²Ì
2.5 K-dVÊýÄø¼°¤Î·¸¿ô¤ÎÊѹ¹
2.6 K-dVÊýÄø¼°¤Îɸ½à·Á
2.7 K-dVÊýÄø¼°¤ÎGalileiÊÑ´¹
3 K-dVÊýÄø¼°¤Î2¥½¥ê¥È¥ó²ò
3.1 ¸ÉΩÇȤÎÁê¸ßºîÍѤȥ½¥ê¥È¥ó
3.2 2¥½¥ê¥È¥ó²ò¤Î½àÈ÷
3.3 K-dVÊýÄø¼°¤Î2¥½¥ê¥È¥ó²ò
3.4 2¥½¥ê¥È¥ó²ò¤Î¶ñÂÎÎã
3.5 K-dVÊýÄø¼°¤ÎÊݸÎÌ
3.6 K-dVÊýÄø¼°¤Î½é´üÃÍÌäÂê
3.7 ¥½¥ê¥È¥ó¤È¤µ¤¶ÇÈ
3.8 ¥½¥ê¥È¥ó¤¬¸½¤ì¤ëʪÍý·Ï¡½¥×¥é¥º¥Þ¤Î¥¤¥ª¥ó¥×¥é¥º¥ÞÇÈ
3.9 ÊÑ·Á¤µ¤ì¤¿K-dVÊýÄø¼°¤È¥½¥ê¥È¥ó
4 ¸ÍÅijʻÒ
4.1 ¸ÍÅijʻҤΥ½¥ê¥È¥ó
4.2 ¥½¥ê¥È¥ó¤Î¼ÁÎÌ, ±¿Æ°ÎÌ, ¥¨¥Í¥ë¥®¡¼
4.3 ¸ÍÅijʻҤÎ2¥½¥ê¥È¥ó²ò¡Êµ¡Ë
4.3 ¸ÍÅijʻҤÎ2¥½¥ê¥È¥ó²ò¡Ê¶¡Ë¡½Äɤ¤±Û¤·¾×ÆÍ
4.5 ¸ÍÅijʻҤÎ2¥½¥ê¥È¥ó²ò¡Ê·¡Ë¡½ÀµÌ̾×ÆÍ
4.6 ÈóÀþ·ÁLC¤Ï¤·¤´·Á²óÏ©
5 ʬ»¶¤Î¶¯¤¤·Ï
5.1 ¹âÄ´ÇȤÎȯÀ¸¤Èʬ»¶¸ú²Ì
5.2 ʬ»¶¤Î¶¯¤¤·Ï¤ÈÈóÀþ·ÁSchrodingerÊýÄø¼°
5.3 ÈóÀþ·ÁSchrodingerÊýÄø¼°¤ÎÊñÍí¥½¥ê¥È¥ó
5.4 ºÆ¤Óʬ»¶¸ú²Ì¤ÈÈóÀþ·Á¸ú²Ì¤Ë¤Ä¤¤¤Æ
5.5 ÊÑÄ´ÉÔ°ÂÄê
5.6 sine-GordonÊýÄø¼°
6 K-dV·Á¤ÎÊýÄø¼°
6.1 ÈóÀþ·Á³Ê»Ò¤ÎϢ³Âζá»÷¡Êµ¡Ë¡½K-dVÊýÄø¼°
6.2 ÈóÀþ·Á³Ê»Ò¤ÎϢ³Âζá»÷¡Ê¶¡Ë¡½ÊÑ·Á¤µ¤ì¤¿K-dVÊýÄø¼°
6.3 ʬ»¶À¤ÈÈóÀþ·ÁÀ¤ÎÄà¹ç¤¤
6.4 ¶õ´ÖȯŸ¤òµ½Ò¤¹¤ëK-dVÊýÄø¼°
6.5 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȡʵ¡Ë¡½K-dVÊýÄø¼°
6.6 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȡʶ¡Ë¡½¹â¼¡¶á»÷
6.7 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇÈ¡Ê·¡Ë¡½2¼¡¸µK-dVÊýÄø¼°
6.8 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȡʸ¡Ë¡½±ßÅûK-dVÊýÄø¼°
7 ÈóÀþ·ÁSchrodingerÊýÄø¼°
7.1 2¼¡¸µ¤ÎÈóÀþ·ÁÀ¤ò¤â¤Ä·Ï
7.2 3¼¡¸µ¤ÎÈóÀþ·ÁÀ¤ò¤â¤Ä·Ï
7.3 ¥¤¥ª¥ó¥×¥é¥º¥ÞÇȤÎÈóÀþ·ÁSchrodingerÊýÄø¼°
7.4 Á²¶áŸ³«¤ÎÊýË¡
8 ¹ÅĤÎÊýË¡
8.1 K-dVÊýÄø¼°
8.2 D-±é»»»Ò¤ÎÀ¼Á
8.3 2¼¡¸µK-dVÊýÄø¼°
8.4 ¥½¥ê¥È¥ó¤Î¶¦ÌÄÁê¸ßºîÍÑ
8.5 ÊÑ·Á¤µ¤ì¤¿K-dVÊýÄø¼°
9 µÕ»¶ÍðË¡
9.1 K-dVÊýÄø¼°¤ÈSchrodingerÊýÄø¼°
9.2 sech2x¤Î¥Ý¥Æ¥ó¥·¥ã¥ë
9.3 ¸ÇÍÃͤλþ´Ö°Í¸À
9.4 µÕ»¶ÍðË¡
9.5 ¥½¥ê¥È¥ó²ò
10 ÈóÀþ·ÁLC¤Ï¤·¤´²óÏ©
10.1 ÈóÀþ·Á¥¥ã¥Ñ¥·¥¿¤ÎÆÃÀ
10.2 ¾®¿¶ÉýÀµ¸¹ÇȤÎÅÁÇŤÈʬ»¶¼°
10.3 ¾®¿¶Éý¥Ñ¥ë¥¹¤ÎÅÁÇŤÈʬ»¶
10.4 ¥½¥ê¥È¥ó¤ÎÎ嵯
10.5 2¸Ä¤Î¥½¥ê¥È¥ó¤Î¾×ÆÍ
10.6 ¥½¥ê¥È¥ó¤Î¥¨¥Í¥ë¥®¡¼
10.7 ¼å¤¤»¶°ï¤ò´Þ¤à²óÏ©
10.8 ÉԶѰì²óÏ©¤Î¥½¥ê¥È¥ó
10.9 ²óÏ©¤ÎÉÔ½ãʪ¤È¥½¥ê¥È¥ó
10.10 ̵¾×Æ;׷âÇȤȥ½¥ê¥È¥ó
10.11 Àµ¸¹ÇȤˤè¤ë¥½¥ê¥È¥ó¤ÎÎ嵯¤È½é´üÇÈ·Á¤Ø¤Î²óµ¢
10.12 ´ðËÜÇȤÈÂè2¹âÄ´ÇȤÎÁê¸ßºîÍÑ
10.13 Áê¸ß¥¤¥ó¥À¥¯¥¿¥ó¥¹¤Î¤¢¤ëLC¤Ï¤·¤´·Á²óÏ©¤Î¸ÉΩÇÈ
10.14 µ°Æ»ÉÔ°ÂÄê
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