利用Lie群方法将(2+1)维AKNS方程约化成(1+1)维非线性偏微分方程.对约化方程应用扩展同宿测试法获得了AKNS方程的一些新的非行波精确解,这些结果丰富了该方程的可积性内涵及(2+1)维非线性波传播的动力学行为.
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