| 三维具弱阻尼Schrdinger-Boussinesq方程组的周期解(英文) |
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| 引用本文： | 关美娇
,李用声.三维具弱阻尼Schrdinger-Boussinesq方程组的周期解(英文)[J].数学季刊,2003(4). |
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| 作者姓名： | 关美娇 李用声 |
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| 作者单位： | 1.Department of Mathematics，Huazhong University of Science and Technology，Wuhan 430074，China; 2.Department of Applied Mathematics，South China University of Technology，Guangzhou 510640，China |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofChina( 10 0 0 10 13 ) |
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| 摘 要： | § 1. Introduction InthelaserandplasmaphysicsundertheinteractionofanonlinearcomplexSchr dingerfieldandarealBoussinesqfield ,thedynamicsisdescribedbythefollowingequationsiεt +Δε=nε ,( 1 .1 )ntt -Δn+γΔ2 n-Δf(n) -Δ｜ε｜2 =0 ,( 1 .2 )whereεrepresentsthecomplexSchr dingerfieldandnrepresentstherealBoussinesqfield .Theseequationshavemanyinterestingproperties,suchasafour parameterfamilyofsolitonso lutionsandLangmuircollapse(see 1— 4]) .Thustheydrawmuchattentionofmanyphysicistandmath…
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| 关 键 词： | Schrdinger-Boussinesq equations periodic solution existence Leray-Schauder fixed point theorem |
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