Journal
NONLINEAR DYNAMICS
Volume 88, Issue 2, Pages 1373-1383Publisher
SPRINGER
DOI: 10.1007/s11071-016-3316-x
Keywords
Localized Peregrine solution and breather solution; Nonlinear Schrodinger equation; Partial nonlocality
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Funding
- Zhejiang Provincial Natural Science Foundation of China [LY17F050011]
- National Natural Science Foundation of China [11375007]
- Foundation of New Century 151 Talent Engineering of Zhejiang Province of China
- Youth Top-notch Talent Development and Training Program of Zhejiang AF University
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Hierarchies of Peregrine solution and breather solution are derived in a (2+1)-dimensional variable-coefficient nonlinear Schrodinger 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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