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中国物理学会期刊

可积模型中孤子相互作用的研究

CSTR: 32037.14.aps.50.369

STUDY OF SOLITONS INTERACTION IN INTEGRABLE MODELS

CSTR: 32037.14.aps.50.369
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  • 从可积模型的双线性形式出发,可以得到关于方程场变量或某种势所存在的所有方向都是指数局域的dromion解或除一个方向外指数衰减的“Solitoff”解.以(1+1)维和(2+1)维KdV类型方程为例,对孤子(dromions或“Solitoff”)间的相互作用进行了详细的研究,发现孤子间的相互作用规律与方程的维数和类型无关.只要方程的多孤子解形式符合Hirota标准形式(所有耦合系数均不为零),孤子之间的碰撞是弹性的,否则就是非弹性的

     

    Starting from bilinear form of integrable models, one can obtain a dromion solution that is localized in all directions or a “Solitoff” solution that decays exponentially in all directions except a preferred one for the physical field or a suitable potential. The interactions between dromions, dromion and “Solitoff”, solitons are studied in detail through the method of figure analysis for two KdV type equations. Some interactive properties between two dromions (solitons) are revealed for two models. The interactions between two dromions(solitions) may be elastic or inelastic for different form of solutions.

     

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