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Title
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RATIONAL WAVE SOLUTIONS TO A GENERALIZED(2+1)-DIMENSIONAL HIROTA BILINEAR EQUATION
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Type
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JournalPaper
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Keywords
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Bäcklund transformation method; Kudryashov method; new auxiliary ordinary differential equation;Lakshmanan–Porsezian–Daniel equation; Kerr nonlinearity; exact solutions
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Abstract
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A generalized form of (2+1)-dimensional Hirota bilinear (2D-HB) equation is consideredherein in order to study nonlinear waves in fluids and oceans. The present goal is carried out throughadopting the simplified Hirota’s method as well as ansatz approaches to retrieve a bunch of rationalwave structures from multiple soliton solutions to breather, rational, and complexiton solutions. Somefigures corresponding to a series of rational wave structures are provided, illustrating the dynamics ofthe obtained solutions. The results of the present paper help to reveal the existence of rational wavestructures of different types for the 2D-HB equation.
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Researchers
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Jian-Guo Liu (Fifth Researcher), Mostafa Eslami (Fourth Researcher), mohammad Mirzazadeh (Second Researcher), - - (Third Researcher), - - (First Researcher)
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