THERMAL SCIENCE

International Scientific Journal

Zitian Li

DIVERSITY SOLITON EXCITATIONS FOR THE (2+1)-DIMENSIONAL SCHWARZIAN KORTEWEG-DE VRIES EQUATION

ABSTRACT
With the aid of symbolic computation, we derive new types of variable separation solutions for the (2+1)-dimensional Schwarzian Korteweg-de Vries equation based on an improved mapping approach. Rich coherent structures like the soliton-type, rouge wave-type, and cross-like fractal type structures are presented, and moreover, the fusion interactions of localized structures are graphically investigated. Some of these solutions exhibit a rich dynamic, with a wide variety of qualitative behavior and structures that are exponentially localized.
KEYWORDS
Schwarzian Korteweg-de Vries equations, rouge wave, improved mapping method, variable separation approach, cross-like fractal structures
PAPER SUBMITTED: 2017-05-20
PAPER REVISED: 2017-09-27
PAPER ACCEPTED: 2017-09-29
PUBLISHED ONLINE: 2018-09-10
DOI REFERENCE: https://doi.org/10.2298/TSCI1804781L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE No. 4, PAGES [1781 - 1786]
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Diversity soliton excitations for the (2+1)-dimensional Schwarzian Korteweg-de Vries equation

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