Nondegenerate solitons of the(2+1)-dimensional coupled nonlinear Schr?dinger equations with variable coefficients in nonlinear optical fibers

被引：0

作者：

杨薇 ^{[1
]}

程雪苹 ^{[2
]}

金桂鸣 ^{[1
]}

王佳楠 ^{[1
]}

机构：

[1] School of Information Engineering, Zhejiang Ocean University

[2] School of Science, Zhejiang University of Science and Technology

来源：

Chinese Physics B | 2023年 / 32卷 / 12期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程]; TN253 [光纤元件];

学科分类号：

070104 ; 0702 ; 070207 ;

摘要：

We derive the multi-hump nondegenerate solitons for the(2 + 1)-dimensional coupled nonlinear Schr?dinger equations with propagation distance dependent diffraction, nonlinearity and gain(loss) using the developing Hirota bilinear method, and analyze the dynamical behaviors of these nondegenerate solitons. The results show that the shapes of the nondegenerate solitons are controllable by selecting different wave numbers, varying diffraction and nonlinearity parameters.In addition, when all the variable coefficients are chosen to be constant, the solutions obtained in this study reduce to the shape-preserving nondegenerate solitons. Finally, it is found that the nondegenerate two-soliton solutions can be bounded to form a double-hump two-soliton molecule after making the velocity of one double-hump soliton resonate with that of the other one.

引用

页码：200 / 208

页数：9

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