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SOLITON SOLUTIONS FOR KUDRYASHOV-SINELSHCHIKOV EQUATION [PDF]
Applied Mathematics and Computation, 2018 This paper acquires the closed form solutions for the Kudryashov-Sinelshchikov (KS) equation. The Riccati-Bernoulli (RB) sub-ODE method is used to acquire such solitons whose structure include trigonmetric, hyperbolic and algebraic structures.
YUSUF, Abdullahi +2 more
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New exact solutions for Kudryashov–Sinelshchikov equation [PDF]
Advances in Difference Equations, 2018 In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
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Alexandria Engineering Journal, 2023 In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation (NFPDE).
Khalid K. Ali, M. Maneea
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Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics [PDF]
Journal of Applied Mathematics, 2018 A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol +2 more
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Fractal and Fractional, 2023 In this research work, we investigate the complex structure of soliton in the Fractional Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives.
Rashid Ali +5 more
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Results in Physics, 2023 This paper focuses on some novel exact solutions of the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation (KSE). Based on the linear superposition principle (LSP) and weight algorithm (WA), we construct the complexiton solutions by introducing the ...
Kang-Jia Wang
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Results in Physics, 2022 The variable-coefficients 3D-Kudryashov–Sinelshchikov (vcKS) equation is an important mathematical model that describes the pressure of gas bubbles in the liquid, and is considered as an impressive phenomenon with many applications in medicine, ocean ...
Rehab M. El-Shiekh +2 more
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Journal of Ocean Engineering and Science, 2022 The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar +2 more
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Results in Physics, 2023 Propagation of the pressure waves in a liquid with gas bubbles is an important topic in the field of fluid dynamics and mathematical physics. The Kudryashov-Sinelshchikov equation is one of the models that describe the propagation of nonlinear waves in a
Md. Nuruzzaman +4 more
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Computational and Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Prakash
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