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§ 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… 相似文献
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In this paper the authors consider a model of the interaction of a nonlinear complex Schrdinger field and a real Boussinesq field in a 3D domain with the weakly damping which arises in the laser and plasma physics and prove the existence of the periodic solution. 相似文献
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