Journal
PHYSICA SCRIPTA
Volume 97, Issue 5, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1402-4896/ac5f90
Keywords
Higher-dimensional nonlinear system; (3+1)-D Hirota-Satsuma-Ito equation; Painleve analysis; Hirota bilinear method; Higher-order rogue waves
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Funding
- National Institute of Technology Tiruchirappalli
- Ministry of Education (MoE), Govt. of India
- Korean Ministry of Education Science and Technology through Young Scientist Training (YST) Program of the Asia-Pacific Center for Theoretical Physics (APCTP), Pohang-si, Gyeongsangbuk-do
- Department of Science and Technology-Science and Engineering Research Board (DST-SERB), Govt. of India [PDF/2016/000547]
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In this paper, we investigate a generalized (3+1)-dimensional Hirota-Satsuma-Ito equation describing the unidirectional propagation of shallow-water waves and perform Painleve analysis to understand its integrability nature. We construct higher-order rogue wave solutions using Hirota's bilinearization and generalized polynomial functions, and explore their dynamics in detail, demonstrating potential advantages with available arbitrary constants in their manipulation mechanism.
Considering the importance of ever-increasing interest in exploring localized waves, we investigate a generalized (3+1)-dimensional Hirota-Satsuma-Ito equation describing the unidirectional propagation of shallow-water waves and perform Painleve analysis to understand its integrability nature. We construct the explicit form of higher-order rogue wave solutions by adopting Hirota's bilinearization and generalized polynomial functions. Further, we explore their dynamics in detail, depicting different pattern formation that reveal potential advantages with available arbitrary constants in their manipulation mechanism. Particularly, we demonstrate the existence of singly-localized line-rogue waves and doubly-localized rogue waves with multiple (single, triple, and sextuple) structures generating triangular and pentagon type geometrical patterns with controllable orientations that can be altered appropriately by tuning the parameters. The presented analysis will be an essential inclusion in the context of rogue waves in higher-dimensional systems.
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