Results 41 to 50 of about 1,197 (185)
Results in Physics, 2018 In this work we study the Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation, which describes the two-way propagation of waves. Using Lie symmetry method together with Jacobi elliptic function expansion and Kudryashov methods we construct its ...
Innocent Simbanefayi +1 more
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Journal of Mathematical Physics, 2011 We present some nonlinear partial differential equations in 2 + 1-dimensions derived from the KdV equation and its symmetries. We show that all these equations have the same 3-soliton solution structures. The only difference in these solutions are the dispersion relations. We also show that they possess the Painlevé property.
Gurses, M., Pekcan, A.
openaire +6 more sources
A polynomial conjecture connected with rogue waves in the KdV equation
Partial Differential Equations in Applied Mathematics, 2021 A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian ...
Wen-Xiu Ma
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On a hierarchy of nonlinearly dispersive generalized Korteweg–de Vries evolution equations; pp. 212–218 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 We propose a hierarchy of nonlinearly dispersive generalized Kortewegâde Vries (KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes.
Ivan C. Christov
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A methodological approach to solving the Korteweg–de Vries equation in its various forms
Scientific AfricanThe Korteweg-de Vries (KdV) equation, an evolution-type nonlinear partial differential equation (PDE), describes the propagation of solitary water waves as observed in the literature.
Francis Tuffour +3 more
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Future Postharvest and Food, EarlyView.Ultrasound‐assisted extraction (UAE) of seabuckthorn seed oil enhanced yield (17.95%), antioxidant activity (IC50: 5.25 μg/mL), and carotenoid content (266.63 mg/100 g). The oil, rich in unsaturated fatty acids (83.15%), exhibited superior quality, thermal stability, and potential applications in food, cosmetics, and pharmaceuticals, making UAE a ...
Mrityunjoy Das +4 more
wiley +1 more source
The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation
Mathematics, 2022 A nonlinear transformation from the solution of linear KdV equation to the solution of Sharma-Tasso-Olver (STO) equation is derived out by using simplified homogeneous balance (SHB) method.
Lingxiao Li +2 more
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Smart Molecules, EarlyView.A series of novel pyrene‐linked heterocyclic pyrazoles were synthesized and structurally characterized. The compounds were evaluated for antimicrobial activity against selected bacterial and fungal strains, showing promising inhibitory effects. Molecular docking studies provided insights into binding interactions and structure–activity relationships ...
Dinkal V. Kasundra, Paresh N. Patel
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A systematic color correction pipeline for controlled‐environment imaging
The Plant Phenome Journal, Volume 9, Issue 1, December 2026.ABSTRACT We present a stepwise color correction (CC) pipeline for controlled imaging environments. The workflow integrates flat‐field correction (FFC), gamma correction, and white‐balance correction, followed by a color‐mapping (CM) stage using machine‐learning regression—linear, partial least squares, and neural networks (NNs)—to deliver reliable CC ...
Collins Wakholi +7 more
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The Two Modified G′G-Expansion Methods for Obtaining Solitons of the Korteweg-De Vries Equation
Advances in Mathematical PhysicsThe Korteweg-de Vries (KdV) equation plays an important role in describing the propagation of water waves in shallow channels. Several analytical methods, such as tanh-function methods (TFMs), exponential function method, and Jacobi elliptic function ...
Emmanuel Mensah +3 more
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