Search Results - "Akinyemi, Lanre"
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q-Homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg–de Vries and Sawada–Kotera equations
Published in Computational & applied mathematics (01-12-2019)“…This article presents exact and approximate solutions of the seventh order time-fractional Lax’s Korteweg–de Vries (7TfLKdV) and Sawada–Kotera (7TfSK)…”
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A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction
Published in Computational & applied mathematics (01-09-2020)“…Nonlinear phenomena play an essential role in various field of natural sciences and engineering. In particular, the nonlinear chemical reactions are observed…”
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3
A reliable technique to study nonlinear time-fractional coupled Korteweg–de Vries equations
Published in Advances in difference equations (21-04-2020)“…This paper employs an efficient technique, namely q-homotopy analysis transform method, to study a nonlinear coupled system of equations with Caputo…”
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Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes
Published in Optical and quantum electronics (2022)“…This article examines the complex Ginzburg–Landau equation with the beta time derivative and analyze its optical solitons and other solutions in the appearance…”
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5
The integrable Boussinesq equation and it’s breather, lump and soliton solutions
Published in Nonlinear dynamics (01-02-2022)“…The fourth-order nonlinear Boussinesq water wave equation, which explains the propagation of long waves in shallow water, is explored in this article. We used…”
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Optical solitons in metamaterials with third and fourth order dispersions
Published in Optical and quantum electronics (01-05-2022)“…The propagation of optical solitons via nonlinear metamaterials with cubic-quintic nonlinearity, detuning intermodal dispersion, self steepening effect, and…”
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Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform
Published in Mathematical methods in the applied sciences (01-08-2020)“…In this present investigation, we proposed a reliable and new algorithm for solving time‐fractional differential models arising from physics and engineering…”
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8
Modified homotopy methods for generalized fractional perturbed Zakharov–Kuznetsov equation in dusty plasma
Published in Advances in difference equations (12-01-2021)“…We propose a new modification of homotopy perturbation method (HPM) called the δ -homotopy perturbation transform method ( δ -HPTM). This modification consists…”
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Solitons and other solutions of perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index
Published in Nonlinear analysis (Vilnius, Lithuania) (23-02-2022)“…We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index, which…”
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10
Analysis and solutions of generalized Chagas vectors re-infestation model of fractional order type
Published in Chaos, solitons and fractals (01-04-2021)“…•A generalized Chagas vectors re-infestation model of fractional order type is proposed.•Our model considers insecticide treatment as continuous spraying where…”
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Dynamical behaviour of Chiral nonlinear Schrödinger equation
Published in Optical and quantum electronics (01-03-2022)“…In this work, we study the exact traveling wave solutions of ( 2 + 1 ) -dimensional Chiral nonlinear Schrödinger equation with the aid of generalized auxiliary…”
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12
A fractional order approach to modeling and simulations of the novel COVID-19
Published in Advances in difference equations (01-12-2020)“…The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed globally; the disease has become an unprecedented threat to public health…”
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13
The optical soliton solutions of generalized coupled nonlinear Schrödinger-Korteweg-de Vries equations
Published in Optical and quantum electronics (01-07-2021)“…The quest for exact solutions to nonlinear partial differential equations has become a remarkable research subject in recent years. In this study, we employ…”
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14
Optical solitons of (3 + 1) dimensional and coupled nonlinear Schrodinger equations
Published in Optical and quantum electronics (01-04-2022)“…In this paper, we implemented extended e x p - φ ξ -expansion method for some exact solutions of (3 + 1)-dimensional nonlinear Schrödinger equation (NLSE) and…”
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15
Optical singular and dark solitons to the nonlinear Schrödinger equation in magneto-optic waveguides with anti-cubic nonlinearity
Published in Optical and quantum electronics (01-12-2021)“…The present paper aims to investigate the coupled nonlinear Schrödinger equation in magneto-optic waveguides having anti-cubic (AC) law nonlinearity. The…”
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16
Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation
Published in Mathematical methods in the applied sciences (15-05-2020)“…This paper presents analytical‐approximate solutions of the time‐fractional Cahn‐Hilliard (TFCH) equations of fourth and sixth order using the new iterative…”
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Analytical and approximate solutions of nonlinear Schrödinger equation with higher dimension in the anomalous dispersion regime
Published in Journal of ocean engineering and science (01-04-2022)“…•Different wave structures for abundant solutions to the NLSE with higher dimension are analytically and approximately investigated.•Performance was done using…”
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18
Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method
Published in Results in physics (01-06-2021)“…•The Boussinesq equation is studied.•The bell-shape soliton, kink, singular kink, compacton, contracted bell-shape soliton, periodic soliton, anti-bell shape…”
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19
New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques
Published in Journal of ocean engineering and science (01-10-2023)“…In this paper, we discussed the enhanced Kudryashov’s and general projective Riccati equations techniques for obtaining exact solutions to the fifth-order…”
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20
Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study
Published in Optical and quantum electronics (2024)“…This study employs the new extended direct algebraic method and improved sardar sub-equation method to investigate solitary wave solutions in the Shynaray-IIA…”
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