Diversity soliton excitations for the (2+1)-dimensional Schwarzian Korteweg-de Vries equation

• Main Author: Li Zitian
• Format: Article
• Language: English
• Published: VINCA Institute of Nuclear Sciences 2018-01-01
• Series: Thermal Science
• Subjects: Schwarzian Korteweg-de Vries equations; rouge wave; improved mapping method; variable separation approach; cross-like fractal structures
• Online Access: http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361804781L.pdf
• ISSN: 0354-9836; 2334-7163

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.