Results 31 to 40 of about 1,225,202 (162)
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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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 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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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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Robots and Minimal, Physics‐Informed Features: A Hybrid Framework for Enzyme Catalysis
Advanced Science, EarlyView.Robotic experimentation and physics‐informed machine learning combine to predict enzyme substrate scope. With a handful of interpretable features derived from docking and quantum mechanics calculations, our model rivals descriptor‐heavy AI approaches and extrapolates to unseen substrates and enzyme classes.
Natalia Onishchenko +8 more
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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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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT A potential–based, first–integral formulation of the Navier–Stokes equations is used as a platform for modelling solitary waves in gravity‐driven film flow, giving rise to a nonlinear partial differential equation in complex form. Its subsequent modal decomposition—leading to an infinite set of ordinary differential equations (ODEs), followed ...
Markus Scholle +2 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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AxiomsFrom the finite gap solutions of the KdV equation expressed in terms of abelian functions we construct solutions to the Schrödinger equation with a KdV potential in terms of fourfold Fredholm determinants.
Pierre Gaillard
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