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Soliton solutions in nonlocal nonlinear coupler

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Abstract

We study the existence of soliton pairs in nonlocal nonlinear coupler and the effects of nonlocal nonlinearity on the stability and types of soliton pairs. Bright soliton, dipole soliton, periodic soliton, double soliton and dark soliton are found, and many kinds of antisymmetric, symmetric and asymmetric solitons can be obtained by adjusting the nonlinear parameters or coupling coefficients. In addition, the stability of the exact bright solitary wave solutions and dipole-mode solitary wave solutions with the white noise perturbation are also investigated numerically. It is investigated that the energy flow and the Hamiltonian, and the energy flow are related to the nonlocal parameter. Moreover, We also obtain some Airy-like solitons by numerical method.

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Acknowledgements

The work was supported by the National Natural Science Foundation of Zhejiang province No. LZ15A050001 and the National Natural Science Foundation of China No.11675146.

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  1. Department of Physics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, People’s Republic of China

    Ya-Lin Dang, Hui-Jun Li & Ji Lin

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  1. Ya-Lin Dang
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Correspondence to Ji Lin.

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Dang, YL., Li, HJ. & Lin, J. Soliton solutions in nonlocal nonlinear coupler. Nonlinear Dyn 88, 489–501 (2017). https://doi.org/10.1007/s11071-016-3255-6

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