具有阻尼耗散的DNLS方程的孤立子解析解

用变换和数值积分的方法找到了考虑欧姆阻尼效应时DNLS方程的一类含激波层结构的解析解,讨论了耗散对其振幅及磁场B_yB_z的影响.结果表明,耗散时激波厚度有很强的控制作用,耗散越小,激波厚度越大,B_y和B_z衰减越慢.耗散项很小时振幅基本不变,B_y和B_z过渡成孤立子解. 

ANALYTICAL SOLITARY SOLUTIONS TO DNLS EQUATION WITH DAMPING AND DISPERSION

In this paper, a method of variable changes and numerical integral is employed to obtain the analytical solutions with shock layer structures for the DNLS equation by considering Ohm's resistance' Based on the explict solutions, the effect of dispersion on the amplitude and magnetic flelds By, Bz is discussed. The results show that the dispersion has an obvious control over the shock width: the smaller the dispersion, the larger the shock width and slower the By Bz decay. When the dispersion is small enough, By, and Bz turn into pure solitons. In case of no dispersion, the solitary solution with a modulating factor is also obtained.