Multiple rogue wave solutions of (2+1)-dimensional YTSF equation via Hirota bilinear method

Abstract

In present paper, multiple rogue wave solutions of (2+1)-dimensional Yu–Toda–Sasa–Fukuyama equation were studied by applying the traveling wave transformation and the Hirota bilinear method. We obtained its 1-rogue wave, 3-rogue wave, 6-rogue wave and 8-rogue wave solutions through symbolic computation. Three-dimensional, contour and density plots of corresponding solutions vividly shown the physical structure and properties. Furthermore, these solutions have greatly enriched the exact solutions of (2+1)-dimensional Yu–Toda–Sasa–Fukuyama equation on the existing literature.

Keywords:

• (2+1)-dimensional Yu–Toda–Sasa–Fukuyama equation
• rogue wave solution
• Hirota bilinear method
• symbolic computation

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by National Natural Science Foundation of China [12061054,11661060] and Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region [NJYT-20-A06] and the Natural Science Foundation of Inner Mongolia Autonomous Region of China [2018LH01013].