Rogue waves, classical lump solutions and generalized lump solutions for Sawada-Kotera-like equation

INTERNATIONAL JOURNAL OF MODERN PHYSICS B(2022)

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摘要
In this work, the (2 + 1)-dimensional Sawada-Kotera-like (SK-like) equation is derived through the generalized bilinear equation from SK equation. By using "3-2" and "3-2-2" neural network models, three trial functions are constructed. Classic lump, generalized lump solutions and new rogue wave solutions are acquired by giving a number of specific parameters. Through a variety of curve plots of three-dimensional contour plotting, these rogue waves are intuitively displayed.
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关键词
Symbolic computation, bilinear neural network method, lump solution, (2+1)-dimensional Sawada-Kotera-like equation, physics-informed neural networks
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