一类扰动复Swift-Hohenberg方程的精确孤立子解

Exact Soliton Solutions for the Dimensional Complex Quintic Swift-Hohenberg Equation with a Dissipative Term

利用Painlevé分析、Hirota多元线性法和直接拟设技巧,研究了一维带有耗散项的五次复SwiftHohenberg方程的解析解.找到了方程的精确解并证明方程系数之间存在着某种关系.得到了包括特殊类型的孤波解、暗孤子解和以雅可比椭圆函数形式表示的周期解等,为光学的进一步研究提供了一系列孤子解.

Analytic solutions for the dimensional quintic complex Swift-Hohenberg equation with a dissipative term are investigated by using Painlevéanalysis,the Hirota multi-linear method and a direct ansatz technique.This paer finds exact solutions exist to the equation and proves that there is certain relation among the coefficients.The set of solutions consist of particular types of solitary wave solutions,dark soliton solutions and periodic solutions in terms of elliptic Jacobi functions are obtainde.In fact,these muliti-parameter families of solutions can act as a seeding set of solutions which can be very useful in optical studies.