Dynamical behavior of analytical solutions and bifurcation analysis for a novel structured (2+1)-dimensional Kadomtsev-Petviashvili equation via analytic approach. [PDF]
Sci RepGhayad MS +4 more
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Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization. [PDF]
PLoS OneLi B, Wang F, Nadeem S.
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Exploration of the soliton solutions of the (n+1) dimensional generalized Kadomstev Petviashvili equation using an innovative approach. [PDF]
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The effect of laser pulse on nonlinear thermoelasticity using an advanced analytical method. [PDF]
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An implementation for the algorithm of Hirota bilinear form of PDE in the Maple system
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Bin Li
exaly +3 more sources
HBFGen: A maple package to construct the Hirota bilinear form for nonlinear equations
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu-dong Yang, Hang-yu Ruan
exaly +3 more sources
Construction of complexiton-type solutions using bilinear form of Hirota-type
International Journal of Nonlinear Sciences and Numerical Simulation, 2022Abstract In this paper, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the Hirota–Satsuma–Ito (HSI) equation and generalized Calogero–Bogoyavlenskii–Schiff equation through a direct symbolic computation with Maple.
Melike Kaplan, Nauman Raza
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HIROTA BILINEAR FORM FOR THE SUPER-KdV HIERARCHY
Modern Physics Letters A, 1993The integrability of the super-KdV hierarchy suggests that it can be written in Hirota bilinear form as the group orbit equation for some infinite-dimensional Lie algebra. We show how the first few equations in the hierarchy can be written in Hirota bilinear form.
McArthur, I. N., Yung, C. M.
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Lump solutions to a (2+1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form
Modern Physics Letters B, 2021Through the Hirota bilinear formulation, a (2+1)-dimensional combined fourth-order nonlinear equation is proposed, which possesses lump solutions. Two classes of lump solutions are presented explicitly in terms of the coefficients in the combined nonlinear equation.
Wen-Xiu Ma +3 more
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