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Abstract In this article, a new (2+1)-dimensional extension of the Hietarinta equation is proposed. Two classes of lump and line rogue wave solutions are obtained for this equation by means… Click to show full abstract
Abstract In this article, a new (2+1)-dimensional extension of the Hietarinta equation is proposed. Two classes of lump and line rogue wave solutions are obtained for this equation by means of the Hirota bilinear method. These solutions, which are algebraically decaying rational solutions, arise from quadratic function solutions to the associated bilinear equation through a logarithmic transformation. Necessary and sufficient conditions that guarantee analiticity and rational localization of the solutions are also given, and finally, graphical representations of the solutions for some selected parameters are presented.
Journal Title: Journal of Geometry and Physics
Year Published: 2021
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