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(2+1)维mKdV方程dromions相互作用的研究

Dromions interaction of (2+1)-dimensional mKdV equation

  • 摘要: 从两个线孤子解出发,可以得到双线性形式2+1维mKdV方程的某个势函数的dromion解。该dromion解在所有方向都是局域的。两个dromion之间的相互作用通过图形分析的方法进行了详细研究。依据参数的不同选择,该相互作用可以是弹性的也可以是非弹性的。

     

    Abstract: Starting from two line solitons;the solution of integrable (2+1)-dimensional mKdV equation in bilinear form yields a dromion solution that is localized in all directions for a suitable potential.The interaction between two dromions is studied in detail through the method of figure analysis for (2+1)-dimensional modified KdV equation.For different selections of parameters;the interactions between two dromions may be elastic;not completely elastic;or completely inelastic.

     

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