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29775

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

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Last updated: 22 Jan 2023

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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.

DOI

10.21608/icmep.2010.29775

Keywords

Lucas functions, localized excitations, variable separation solutions, modified dispersive water-wave system

Authors

First Name

Zied

Last Name

Al-Muhiameed

MiddleName

I.A.

Affiliation

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Email

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City

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Orcid

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First Name

Emad

Last Name

Abdel-Salam

MiddleName

A-B.

Affiliation

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Email

-

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Orcid

-

Volume

5

Article Issue

International Conference on Mathematics and Engineering Physics (ICMEP-5)

Related Issue

5195

Issue Date

2010-05-01

Receive Date

2019-04-07

Publish Date

2010-05-01

Page Start

1

Page End

13

Print ISSN

2636-431X

Online ISSN

2636-4328

Article File

ICMEP_Volume 5_Issue International Conference on Mathematics and Engineering Physics (ICMEP-5)_Pages 1-13.pdf

PDF . 590.1kB

Link

https://icmep.journals.ekb.eg/article_29775.html

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https://icmep.journals.ekb.eg/service?article_code=29775

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7

Type

Original Article

Type Code

830

Publication Type

Journal

Publication Title

The International Conference on Mathematics and Engineering Physics

Publication Link

https://icmep.journals.ekb.eg/

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Article

Created At

22 Jan 2023