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Complete Integrability of Nonlinear Evolution Equations [PDF]
Progress of Theoretical Physics, 1975 Summary: It is shown that a broad class of nonlinear evolution equations, which have been systematically discussed by Ablowitz, Kaup, Newell and Segur, can be described as the Hamiltonian systems and that these Hamiltonian systems are completely integrable.
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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Advanced Engineering Materials, EarlyView.This article describes the preparation and characterization of poly(ε‐caprolactone) electrospun composite fibers incorporating sol‐gel‐derived bioactive glass particles doped with B and Cu. Scanning electron microscopy, energy‐dispersive X‐ray spectroscopy, Fourier‐transform infrared spectroscopy, contact angle, acellular bioactivity, mechanical and ...
Elisa Piatti +5 more
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Exact Solutions for the Modified KdV and the Generalized KdV Equations via Exp-Function Method
Journal of Mathematical Extension, 2010 An application of the Exp-function method (EFM) to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the modified KdV equation and the generalized KdV equation.
J. Manafian Heris, M. Bagheri
doaj
On integrability of one third-order nonlinear evolution equation
, 2003 We study one third-order nonlinear evolution equation, recently introduced by Chou and Qu in a problem of plane curve motions, and find its transformation to the modified Korteweg - de Vries equation, its zero-curvature representation with an essential ...
Chou +8 more
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Advanced Engineering Materials, EarlyView.The release of foulers from protective marine coatings is determined by several interrelated material properties, including the strength of Young's modulus, the flexibility of chain segments, the surface free energy, and the magnitude of hydrodynamic stress.
Johann C. Schaal +2 more
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Nonlinear integrable systems related to arbitrary space-time dependence of the spectral transform
, 1994 We propose a general algebraic analytic scheme for the spectral transform of solutions of nonlinear evolution equations. This allows us to give the general integrable evolution corresponding to an arbitrary time and space dependence of the spectral ...
Leon, Jerome
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, 2013 In this article, new (G′/G)-expansion method and new generalized (G′/G)-expansion method is proposed to generate more general and abundant new exact traveling wave solutions of nonlinear evolution equations. The novelty and advantages of these methods is
Hasibun Naher, F. Abdullah
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New Solvable Nonlinear Matrix Evolution Equations
Journal of Nonlinear Mathematical Physics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Inkjet‐Printed Platinum‐Based Temperature Sensing Element on Polyimide Substrates
Advanced Engineering Materials, EarlyView.An inkjet‐printed, meander‐structured, nanoparticle platinum‐based resistive temperature sensors on polyimide substrates are demonstrated as proof‐of‐concept. Optimized sintering at 250°C enables stable conductive structures. The Pt100‐ and Pt1000‐type sensors exhibit linear resistance–temperature characteristics with stable TCR in the 20°C–80°C range,
Shawon Alam +6 more
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