Plenteous stationary wave patterns for (2+1) dimensional fokas system

Abstract This paper investigates the most straightforward extension of the (2+1) dimensional Nonlinear Schrödinger (NLS) equation, termed the Fokas system. The evolution equation is trilinearized, employing a unique method called Truncated Painlevé Approach (TPA) for the (2+1) dimensional Fokas Syst...

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Bibliographic Details
Published in:Physica scripta 2023-11, Vol.98 (11), p.115226
Main Authors: Thilakavathy, J, Amrutha, R, Subramanian, K, Sivatharani, B
Format: Article
Language:English
Subjects:
dromion triplet wave form
Fokas system
multi rogue
multi-compacton
TPA
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Summary:Abstract This paper investigates the most straightforward extension of the (2+1) dimensional Nonlinear Schrödinger (NLS) equation, termed the Fokas system. The evolution equation is trilinearized, employing a unique method called Truncated Painlevé Approach (TPA) for the (2+1) dimensional Fokas System (FS). In terms of arbitrary functions, this method finds relatively extensive classes of solutions. Localized solutions, including dromion triplet, lump, multi-compacton and multi-rogue wave are generated by efficiently utilizing arbitrary functions. The analysis reveals that the localized solutions evolved do not move in space and only their amplitude changes with time.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/acfea6