Dromion solutions of PT-symmetric (x, y)-nonlocal Davey-Stewartson I equation
Dromion solutions of PT-symmetric (x, y)-nonlocal Davey-Stewartson I equation
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DOI：
10.1016/j.cnsns.2021.105967
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发表时间：
2021-12
期刊：
影响因子：
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通讯作者：
Yu-Yue Li;Zixiang Zhou
中科院分区：
文献类型：
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作者：
Yu-Yue Li;Zixiang Zhou
考虑一类PT对称的非局部Davey-Stewartson I方程，其中用u(−x，−y，t)代替经典方程中的u‘(x，y，t).利用2+1维到1+1维的非线性约束和1+1维达布变换，得到了2m×2n阶解。证明了在一定条件下，导出的解总是全局定义的，并且在空间无穷远处指数衰减。此外，当t→±∞时，每个渐近解恰好有4m n个峰。文中还给出了每个峰值的局部行为。
A PT-symmetric nonlocal Davey-Stewartson I equation is considered, in which u¯(x, y, t) in the classical equation is replaced by u¯(− x,− y, t). Using the nonlinear constraint from 2+ 1 dimensions to 1+ 1 dimensions and Darboux transformation in 1+ 1 dimensions, 2 m× 2 n dromion solutions are obtained. It is proved that under certain conditions, the derived solutions are always globally defined and decay exponentially at spacial infinity. Moreover, each asymptotic solution as t→±∞ has exactly 4 m n peaks. The local behavior of each peak is also given.