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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 |
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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.
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Received: 30 June 2023
Revised: 20 August 2023
Accepted manuscript online: 22 August 2023
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PACS:
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02.30.Ik
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(Integrable systems)
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02.30.Jr
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(Partial differential equations)
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42.81.Dp
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(Propagation, scattering, and losses; solitons)
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| Fund: 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. |
Corresponding Authors:
Xueping Cheng
E-mail: chengxp2005@126.com
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Cite this article:
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 2023 Chin. Phys. B 32 120202
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