Construction of complexiton-type solutions using bilinear form of Hirota-type
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Melike Kaplan
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Nauman Raza
Abstract
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. This method is the improved form of the transformed rational function method. The obtained complexiton solutions, includes trigonometric and hyperbolic trigonometric solutions, have verified utilizing Hirota bilinear forms. Also, a graphical representation of the obtained solutions is given.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
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- Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance
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- Battery discharging model on fractal time sets
- Adaptive neural network control of second-order underactuated systems with prescribed performance constraints
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- Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations
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Stable soliton solutions to the time fractional evolution equations in mathematical physics via the new generalized
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