WITHDRAWN: 2D closed form solutions for exact elastic analysis of multilayered shells with imperfect bonding
Sign Up to like & getrecommendations! Published in 2019 at "Composites Part B: Engineering"
DOI: 10.1016/j.compositesb.2019.107515
Abstract: Abstract Plane elasticity problem of a simply supported laminated cylindrical shell with imperfectly bonded orthotropic or isotropic layers subjected to static loading is considered. Imperfect bonding of layers is modeled by a linear uncoupled interfacial… read more here.
Keywords: withdrawn closed; imperfect bonding; exact elastic; closed form ... See more keywords
On general semi-closed-form solutions for VIX derivative pricing
Sign Up to like & getrecommendations! Published in 2024 at "Quantitative Finance"
DOI: 10.1080/14697688.2024.2429424
Abstract: Most pricing methods for VIX futures and European VIX options rely on the existence of the squared VIX moment generating function. Yet this function does not exist for some state-of-the-art option pricing models, which prevents… read more here.
Keywords: vix; form solutions; semi closed; general semi ... See more keywords
Closed-form solutions for large strain analysis of cavity contraction in a bounded Mohr-Coulomb medium
Sign Up to like & getrecommendations! Published in 2020 at "European Journal of Environmental and Civil Engineering"
DOI: 10.1080/19648189.2020.1857309
Abstract: This paper presents rigorous analytical solutions for cavity contraction analysis of a thick-walled cylinder/sphere after an arbitrary magnitude of expansion. Closed-form solutions are given for th... read more here.
Keywords: cavity contraction; analysis; closed form; form solutions ... See more keywords
New algorithm for deriving rational form solutions in the generalized Date-Jimbo-Kashiwara-Miwa model
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad7a29
Abstract: This paper introduces, for the first time, the application of rational form solutions involving sine-cosine and sinh-cosh functions to address a nonlinear model emerging in the realm of plasma physics. The model under consideration is… read more here.
Keywords: rational form; kashiwara miwa; form solutions; jimbo kashiwara ... See more keywords
Closed-form solutions for Bernoulli and compound Poisson branching processes in random environments
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ad83c8
Abstract: For branching processes, the generating functions for the limit distributions of the so-called ratios of probabilities of rare events satisfy Schröder-type integral–functional equations. With the exception of a few special cases, the corresponding equations cannot… read more here.
Keywords: processes random; poisson; random environments; form solutions ... See more keywords
Closed-Form Solutions of Miss Distance for Higher-Order Guidance System
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2024.3353717
Abstract: In order to analytically evaluate the effects of different maneuvering strategies, we derive a series of closed-form solutions of the miss distance that are applicable to higher-order guidance system models. Instead of adopting the simplified… read more here.
Keywords: guidance; miss distance; closed form; form solutions ... See more keywords
Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation
Sign Up to like & getrecommendations! Published in 2025 at "PLOS ONE"
DOI: 10.1371/journal.pone.0314849
Abstract: This work considers a stochastic form of an extended version of the Kairat-II equation by adding Browning motion into the deterministic equation. Two analytical approaches are utilized to derive analytical solutions of the modified equation.… read more here.
Keywords: equation; kairat equation; form solutions; brownian motion ... See more keywords
A Note on Exact Closed-Form Solutions for Lamb’s Problem with an Arbitrary Poisson’s Ratio
Sign Up to like & getrecommendations! Published in 2024 at "Bulletin of the Seismological Society of America"
DOI: 10.1785/0120240028
Abstract: Lamb’s Problem, a cornerstone in theoretical seismology, investigates the displacement of an elastic half-space due to surficial or buried point sources. Although the exact closed-form solution for surface displacements from surficial sources is well established,… read more here.
Keywords: poisson; lamb problem; exact closed; form solutions ... See more keywords
Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14030597
Abstract: This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-dependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits with slowly varying width and depth… read more here.
Keywords: closed form; variable coefficient; lie symmetries; vckp equations ... See more keywords
Approximate Closed-Form Solutions for the Rabinovich System via the Optimal Auxiliary Functions Method
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DOI: 10.3390/sym14102185
Abstract: Based on some geometrical properties (symmetries and global analytic first integrals) of the Rabinovich system the closed-form solutions of the equations have been established. The chaotic behaviors are excepted. Moreover, the Rabinovich system is reduced… read more here.
Keywords: system; rabinovich system; optimal auxiliary; auxiliary functions ... See more keywords
Symmetries and Closed-Form Solutions for Some Classes of Dynamical Systems
Sign Up to like & getrecommendations! Published in 2025 at "Symmetry"
DOI: 10.3390/sym17040546
Abstract: The present paper focuses on some classes of dynamical systems involving Hamilton–Poisson structures, while neglecting their chaotic behaviors. Based on this, the closed-form solutions are obtained. These solutions are derived using the Optimal Auxiliary Functions… read more here.
Keywords: solutions classes; dynamical systems; classes dynamical; form solutions ... See more keywords