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

doi:10.1088/1674-1056/acf282

中国物理B ›› 2023, Vol. 32 ›› Issue (12): 120202-120202.doi: 10.1088/1674-1056/acf282

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

Wei Yang(杨薇)¹, Xueping Cheng(程雪苹)^2,†, Guiming Jin(金桂鸣)¹, and Jianan Wang(王佳楠)¹

1 School of Information Engineering, Zhejiang Ocean University, Zhoushan 316022, China;
2 School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China

收稿日期:2023-06-30 修回日期:2023-08-20 接受日期:2023-08-22 出版日期:2023-11-14 发布日期:2023-11-27
通讯作者: Xueping Cheng E-mail:chengxp2005@126.com
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant Nos.11975204 and 12075208), the Project of Zhoushan City Science and Technology Bureau (Grant No.2021C21015), and the Training Program for Leading Talents in Universities of Zhejiang Province.

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

Wei Yang(杨薇)¹, Xueping Cheng(程雪苹)^2,†, Guiming Jin(金桂鸣)¹, and Jianan Wang(王佳楠)¹

1 School of Information Engineering, Zhejiang Ocean University, Zhoushan 316022, China;
2 School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China

Received:2023-06-30 Revised:2023-08-20 Accepted:2023-08-22 Online:2023-11-14 Published:2023-11-27
Contact: Xueping Cheng E-mail:chengxp2005@126.com
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant Nos.11975204 and 12075208), the Project of Zhoushan City Science and Technology Bureau (Grant No.2021C21015), and the Training Program for Leading Talents in Universities of Zhejiang Province.

摘要/Abstract

摘要： We derive the multi-hump nondegenerate solitons for the (2+1)-dimensional coupled nonlinear Schrödinger 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.

关键词: nondegenerate solitons, variable coefficients coupled nonlinear Schrödinger equations, Hirota bilinear method

Abstract: We derive the multi-hump nondegenerate solitons for the (2+1)-dimensional coupled nonlinear Schrödinger 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.

Key words: nondegenerate solitons, variable coefficients coupled nonlinear Schrödinger equations, Hirota bilinear method

中图分类号: (Integrable systems)

02.30.Ik

02.30.Jr (Partial differential equations) 42.81.Dp (Propagation, scattering, and losses; solitons)

Wei Yang(杨薇), Xueping Cheng(程雪苹), Guiming Jin(金桂鸣), and Jianan Wang(王佳楠). Nondegenerate solitons of the (2+1)-dimensional coupled nonlinear Schrödinger equations with variable coefficients in nonlinear optical fibers[J]. 中国物理B, 2023, 32(12): 120202-120202.

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

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

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