耦合Klein-Gordon-Schrdinger方程的孤立波解

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ZHANG Hui-Qun. 耦合Klein-Gordon-Schrdinger方程的孤立波解[J].Acta mathematica scientia,Series A, 2002, 22(3): 332-335.

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［１］　ＦｕｋｕｄａＩ，Ｔｓｕｔｓｕｍｉｍ．ＯｎｃｏｕｐｌｅｄＫｌｅｉｎＧｏｒｄｏｎＳｃｈｒ¨ｏｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ２．ＪｍａｔｈＡｎａｌｙｓｉｓＡｐｐｌｉｃ，１９７８，６６：３５８
－３７８
［２］　ＹｕｋａｗａＨ．ＯｎｔｈｅｉｎｔｅｒａｃｔｉｏｎｏｆｅｌｅｍｅｎｔａｒｙｐａｒｔｉｃｌｅｓＩ．ＰｒｏｃＰｈｙｓｉｃｏＭａｔｈＳｏｃＪａｐａｎ，１９３５，１７：４８－５７
［３］　ＳｈａｔａｈＪ．ＳｔａｂｌｅｓｔａｎｄｉｎｇｗａｖｅｓｏｆｎｏｎｌｉｎｅａｒＫｌｅｉｎＧｏｒｄｏｎｅｑｕａｔｉｏｎ．ＣｏｍｍｕｎｓｍａｔｈＰｈｙｓ，１９８３，９１：３１３－３２７
［４］　ＳｈａｔａｈＪ．ＵｎｓｔａｂｌｅｇｒｏｕｎｄｓｔａｔｅｏｆｎｏｎｌｉｎｅａｒＫｌｅｉｎＧｏｒｄｏｎｅｑｕａｔｉｏｎｓ．ＴｒａｎｓＡｍｍａｔｈＳｏｃｍ，１９８５，２９０：７０１－７１０
［５］　ＢａｌｌｏｎＪＢ，ＣｈａｄａｍＪＭ．ＴｈｅＣａｕｃｈｙｐｒｏｂｌｅｍｆｏｒｔｈｅｃｏｕｐｌｅｄＫｌｅｉｎＧｏｒｄｏｎＳｃｈｒｏｄｉｎｇｅｒｅｑｕａｔｉｎｏｓ，ｉｎＣｏｎｔｅｍｐｏｒａ
ｒｙＤｅｖｅｌｏｐｍｅｎｔｓｉｎＣｏｎｔｉｎｕｕｍＭｅｃｈａｎｉｃｓａｎｄＰａｒｔｉａｌＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ．ＮｏｒｔｈＨｏｌｌａｎｄ：Ａｍｓｔｅｒｄａｍ，１９７８．
３７－４４
［６］　ＨａｙａｓｈｉＮ，ＶｏｎＷａｈｌＷ．ＯｎｔｈｅｇｌｏｂａｌｓｔｒｏｎｇｓｏｌｕｔｉｏｎｓｏｆｃｏｕｐｌｅｄＫｌｅｉｎＧｏｒｄｏｎＳｃｈｒ¨ｏｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ．Ｊｍａｔｈ
ＳｏｃＪａｐａｎ，１９８７，３９：４８９－４９７
［７］　ＦｕｋｕｄａＩ，ＴｓｕｔｓｕｍｉＭ．ＯｎｃｏｕｐｌｅｄＫｌｅｉｎＧｏｒｄｏｎＳｃｈｒ¨ｏｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ３Ｈｉｇｈｅｒｏｒｄｅｒｉｎｔｅｒａｃｔｉｏｎ，ｄｅｃａｙａｎｄ
ｂｌｏｗｕｐ．ＭａｔｈＪａｐｏｎｉｃａ１９７９，２４：３０７－３２１
［８］　ＯｚａｗａＴ，ＴｓｕｔｓｕｍｉＹ．ＡｓｙｍｐｔｏｔｉｃｂｅｈａｖｉｏｕｒｏｆｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｃｏｕｐｌｅｄＫｌｅｉｎＧｏｒｄｏｎＳｃｈｒ¨ｏｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ．
ＡｄｖＳｔｕｄＰｕｒｅＭａｔｈ，１９９４，２３：２９５－３０５
［９］　ＭａｓａｈｉｔｏＯｈｔａ．ＳｔａｂｉｌｉｔｙｏｆｓｔａｔｉｏｎａｒｙｓｔａｔｅｓｆｏｒｔｈｅｃｏｕｐｌｅｄＫｌｅｉｎＧｏｒｄｏｎＳｃｈｒ¨ｏｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ．ｎｏｎａｎａｌ，１９９６，
２７（４）：４５５－４６１
［１０］　ＭｉｎｇｌｉａｎｇＷａｎｇｅｔａｌ．Ａｐｐｌｉｃａｔｉｏｎｓｏｆａｈｏｍｏｇｅｎｅｏｕｓｂａｌａｎｃｅｍｅｔｈｏｄｔｏｅｘａｃｔｓｏｌｕｔｉｏｎｓｏｆｎｏｎｌｉｎｅａｒｅｑｕａｔｉｏｎｓｉｎ
ｍａｔｈｅｍａｔｉｃａｌｐｈｙｓｉｃｓ．ＰｈｙｓｉｃｓＬｅｔｔｅｒｓＡ，１９９６，２１６：６７－７４

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耦合Klein-Gordon-Schrdinger方程的孤立波解

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