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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 Issue 4, PAGES [1781 - 1786]
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Diversity soliton excitations for the (2+1)-dimensional Schwarzian Korteweg-de Vries equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence