Results 41 to 50 of about 481 (193)
On the relations between some well-known methods and the projective Riccati equations
Open Physics, 2020 Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
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Journal of Ocean Engineering and Science, 2023 By taking advantage of three different computational analytical methods: the Lie symmetry analysis, the generalized Riccati equation mapping approach, and the modified Kudryashov approach, we construct multiple new analytical soliton solutions to the ...
Shoukry El-Ganaini +2 more
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Results in Physics, 2020 New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK) equation arising in fluids by the modified Kudryashov and new auxiliary equation methods.
Dipankar Kumar +4 more
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Frontiers in Physics, 2022 In this work, the model equation with space fractional-order (FO) is used to investigate the nonlinear ion acoustic shock wave excitations (NIASWEs) in an unmagnetized collisionless weakly relativistic plasma having inertial relativistic ions fluid with ...
M.F. Uddin +3 more
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New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation
Journal of Ocean Engineering and Science, 2023 In this work, we studied a (2 + 1)-dimensional Sawada-Kotera equation (SKE). This model depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in plasmas and other phenomena.
Kong Debin +5 more
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Exact Solutions of the Stochastic Conformable Broer–Kaup Equations
Axioms, 2023 In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional propagation of long waves in shallow water are obtained using the modified exponential function method ...
Humaira Yasmin +3 more
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Postural control in humans: a study using transcutaneous spinal cord stimulation
Experimental Physiology, Volume 111, Issue 4, Page 2163-2175, 1 April 2026.Abstract The aim of the study was to investigate the spinal mechanisms involved in regulating postural balance in humans. Participants stood in a normal stance, with their spinal postural networks either non‐invasively activated or not stimulated by electrical stimulation.
Natalia Shamantseva +5 more
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AIP Advances, 2021 This article studies the generalized (2 + 1)-dimensional shallow water equation by applying two recent analytical schemes (the extended simplest equation method and the modified Kudryashov method) for constructing abundant novel solitary wave solutions ...
Yuming Chu +2 more
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Kudryashov Expansion Method Applied to Fisher Mathematical Model
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk +3 more
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Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane +2 more
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