Results 1 to 10 of about 33,370 (159)
Charged Shear-Free Fluids and Complexity in First Integrals [PDF]
Entropy, 2022 The equation yxx=f(x)y2+g(x)y3 is the charged generalization of the Emden-Fowler equation that is crucial in the study of spherically symmetric shear-free spacetimes.
Sfundo C. Gumede +2 more
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Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]
HeliyonThis paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman +3 more
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Results in Physics, 2022 The famous Hamiltonian amplitude equation (HAE) and the well known cubic nonlinear Schrödinger equation (CNLSE) with repulsive delta potential have been taken into account for integrability analysis, establishment of conservation laws (CLs) and traveling
Azhar Bashir +4 more
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One-loop inelastic amplitudes from tree-level elasticity in 2d
Journal of High Energy Physics, 2023 We investigate the perturbative integrability of different quantum field theories in 1+1 dimensions at one loop. Starting from massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level, we derive a ...
Davide Polvara
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira +3 more
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Strongly formal Weierstrass non-integrability for polynomial differential systems in $\mathbb{C}^2$
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Recently it has been given a criterion for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in $\mathbb{C}^2$.
Jaume Giné, Jaume Llibre
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Modified Macdonald Polynomials and Integrability [PDF]
Communications in Mathematical Physics, 2020 References corrected, explanations and examples ...
Alexandr Garbali, Michael Wheeler
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Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation
Results in Physics, 2021 In this paper, we investigate a reputed nonlinear partial differential equation (NLPDE) known as geophysical Korteweg-de Vries (GPKdV) equation. We implement a renowned Unified method (UM) of nonlinear (NL) sciences for the extraction of polynomial and ...
S.T.R. Rizvi +5 more
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Iterated Integrals of Jacobi Polynomials [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2019 Let P(α,β)n be the n-th monic Jacobi polynomial with α,β>−1. Given m numbers ω1,…,ωm∈C∖[−1,1], let Ωm=(ω1,…,ωm) and P(α,β)n,m,Ωm be the m-th iterated integral of (n+m)!n!P(α,β)n normalized by the conditions dkP(α,β)n,m,Ωmdzk(ωm−k)=0, for k=0,1,…,m−1. The main purpose of the paper is to study the algebraic and asymptotic properties of the sequence of ...
Hector Pijeira-Cabrera +1 more
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Some analytic and series solutions of integrable generalized Broer-Kaup system
Alexandria Engineering Journal, 2022 In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then,
Sandeep Malik +3 more
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