Article
Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations
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Abstract
This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new travelling wave solutions, such as mixed dark-bright soliton, exponential and complex domain, are reported. Under a suitable choice of the values of parameters, wave behaviours of the results obtained in the paper – in terms of 2D, 3D and contour surfaces – are observed.
Keywords
Integro-partial differential equation, Fifth-Order integrable model, Analytical method, Rational function solution, Complex Solution, Contour surface, Travelling wave solutions, Mixed dark-bright soliton
Citation
Baskonus, H. M. & Kayan, M. (2021). Regarding new wave distributions of the non-linear integro-partial ito differential and fifth-order integrable equations. Applied Mathematics and Nonlinear Sciences, 6(1), 81–100. https://doi.org/10.2478/amns.2021.1.00006
H. M. Baskonus and M. Kayan, “Regarding new wave distributions of the non-linear integro-partial ito differential and fifth-order integrable equations,” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 1, pp. 81–100, 2021, doi: 10.2478/amns.2021.1.00006.
Baskonus HM, Kayan M. Regarding new wave distributions of the non-linear integro-partial ito differential and fifth-order integrable equations. Applied Mathematics and Nonlinear Sciences. 2021;6(1):81–100. doi:10.2478/amns.2021.1.00006.
Baskonus, H. M. and Kayan, M. (2021), ‘Regarding new wave distributions of the non-linear integro-partial ito differential and fifth-order integrable equations’, Applied Mathematics and Nonlinear Sciences, 6(1), pp. 81–100. Available at: https://doi.org/10.2478/amns.2021.1.00006.
Baskonus, Haci Mehmet, and Mustafa Kayan. “Regarding New Wave Distributions of the Non-linear Integro-partial Ito Differential and Fifth-order Integrable Equations.” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 1, 2021, pp. 81–100. https://doi.org/10.2478/amns.2021.1.00006.
Baskonus, Haci Mehmet, and Mustafa Kayan. “Regarding New Wave Distributions of the Non-linear Integro-partial Ito Differential and Fifth-order Integrable Equations.” Applied Mathematics and Nonlinear Sciences 6, no. 1 (2021): 81–100. https://doi.org/10.2478/amns.2021.1.00006.
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