Exotic localized structures based on the symmetrical lucas function of the (2+1)-dimensional modified dispersive Water-Wave system

Document Type : Original Article

Authors

Abstract

Abstract.
In this paper, with the help of the Lucas Riccati method and a linear variable separation
method, new variable separation solutions with arbitrary functions are derived for a (2+1)-
dimensional modified dispersive water-wave system. Next, we give a positive answer for the
following question: Are there any localized excitations derived by the use of another
functions? For this purpose, some attention will be paid to dromion, peakon, dromion lattice,
multi dromion-solitoff excitations, regular fractal dromions, lumps with self-similar structures
and chaotic dromions patterns based on the golden main and the symmetrical hyperbolic and
triangular Lucas functions.

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