Lump soliton, mixed lump stripe and periodic lump solutions of a (2 + 1)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation
Lump soliton, mixed lump stripe and periodic lump solutions of a (2 + 1)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation
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DOI：
10.1142/s0217984917501573
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发表时间：
2017-05
影响因子：
1.9
通讯作者：
Zhonglong Zhao;Yong Chen;B. Han
中科院分区：
文献类型：
--
作者：
Zhonglong Zhao;Yong Chen;B. Han
利用（2 + 1）维非对称Nizhnik-Novikov-Veselov方程的双线性形式，得到了它的块孤子解。讨论了保证块解的解析性、正性和局域性的条件。给出了块状物与条纹相互作用的解。证明了两个孤立波之间的相互作用是非弹性的。采用三波法研究了周期块解。用图来说明这些解的动力学特性。
The lump soliton solutions of a (2 + 1)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation are obtained by making use of its bilinear form. We discuss the conditions to guarantee the analyticity, positiveness and localization of lump solutions. The solutions of interaction between a lump and a stripe are presented. It is proved that the interaction between the two solitary waves is non-elastic. The three-wave method is employed to investigate the periodic lump solutions. Figures are presented to illustrate the dynamical features of these solutions.