Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation
Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation
复制标题
部分逆时空非局部梅尔尼科夫方程的明孤子解和暗孤子解
DOI：
10.1007/s11071-018-4482-9
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发表时间：
2018
影响因子：
5.6
通讯作者：
Li Xiliang
中科院分区：
文献类型：
--
作者：
Liu Wei;Zheng Xiaoxiao;Li Xiliang
利用Hirota双线性方法和KP层次约简法构造了具有奇偶-时间对称性的部分逆时空非局部Mel 'nikov方程的一般明孤子解和暗孤子解。这些任意阶的解以革兰氏行列式的形式给出。详细讨论了含亮孤子和暗孤子的解析解的传播和碰撞特性。最后，我们提供了一个简单的变量变换，将非局部的梅尔尼科夫方程转化为局部的梅尔尼科夫方程。
General bright and dark soliton solutions to the partial reverse space–time nonlocal Mel’nikov equation with parity–time symmetry are constructed by the Hirota bilinear method with KP hierarchy reduction method. These solutions of arbitrary order are given in forms of Gram-type determinants. The properties of propagation and collision of analytical solution including both bright and dark solitons are discussed in details. In the end, we provide a simple variable transformation to convert the nonlocal Mel’nikov equation to a local Mel’nikov equation.