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

Yueyang Feng, Sudao Bilige

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Rogue wave, Bilinear interpolation, One-dimensional space, Transformation (genetics), Mathematics, Symbolic computation, Bilinear form, Mathematical analysis

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