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Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrödinger equation with partial nonlocality

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Abstract

Hierarchies of Peregrine solution and breather solution are derived in a (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation with partial nonlocality. Based on these solutions, we study the control of the excitation of Peregrine solution and breather solution in different planes. In particular, the localized Peregrine solution and breather solution are firstly reported in two-dimensional space. It is expected that our analysis and results may give new insight into higher-dimensional localized rogue waves in nonlocal media.

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Acknowledgements

This work was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY17F050011), the National Natural Science Foundation of China (Grant No. 11375007). Dr. Chao-Qing Dai is also sponsored by the Foundation of New Century “151 Talent Engineering” of Zhejiang Province of China and Youth Top-notch Talent Development and Training Program of Zhejiang A & F University.

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Authors and Affiliations

  1. School of Sciences, Zhejiang A & F University, Lin’an, 311300, Zhejiang, People’s Republic of China

    Chao-Qing Dai, Jiu Liu, Yan Fan & Ding-Guo Yu

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  1. Chao-Qing Dai
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  2. Jiu Liu
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  3. Yan Fan
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  4. Ding-Guo Yu
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Correspondence to Chao-Qing Dai.

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Dai, CQ., Liu, J., Fan, Y. et al. Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrödinger equation with partial nonlocality. Nonlinear Dyn 88, 1373–1383 (2017). https://doi.org/10.1007/s11071-016-3316-x

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  • DOI: https://doi.org/10.1007/s11071-016-3316-x

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