Results 1 to 10 of about 7,793,267 (329)
Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
Nuclear Physics B, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal +2 more
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Mathematics, 2020 In this work, we investigate a (3+1)-dimensional generalised Kadomtsev–Petviashvili equation, recently introduced in the literature. We determine its group invariant solutions by employing Lie symmetry methods and obtain elliptic, rational and ...
Innocent Simbanefayi +1 more
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Nonlinear self-adjointness and invariant solutions of a 2D Rossby wave equation
Open Physics, 2014 The paper investigates the nonlinear self-adjointness of the nonlinear inviscid barotropic nondivergent vorticity equation in a beta-plane. It is a particular form of Rossby equation which does not possess variational structure and it is studied using a ...
Cimpoiasu Rodica, Constantinescu Radu
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Scale-Invariant Rotating Black Holes in Quadratic Gravity
Entropy, 2015 Black hole solutions in pure quadratic theories of gravity are interesting since they allow the formulation of a set of scale-invariant thermodynamics laws.
Guido Cognola +2 more
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Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation
Abstract and Applied Analysis, 2014 Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation are studied. The Lie symmetry approach is used to obtain the invariant solutions.
Wenjuan Rui, Peiyi Zhao, Yufeng Zhang
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Multi-scale invariant solutions in plane Couette flow: a reduced-order model approach [PDF]
Journal of Fluid Mechanics, 2023 Plane Couette flow at Reynolds number $Re=1200$ (based on the channel half-height and half the velocity difference between the top and bottom plates) is investigated with a spatial domain designed to retain only two spanwise integral length scales.
M. McCormack, A. Cavalieri, Y. Hwang
semanticscholar +1 more source
Lie symmetry analysis for generalized short pulse equation
Open Physics, 2022 Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong +4 more
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Mathematics, 2020 On one hand, we construct λ-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations.
Yu-Shan Bai, Jian-Ting Pei, Wen-Xiu Ma
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Lie symmetries of Benjamin-Ono equation
Mathematical Biosciences and Engineering, 2021 Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro ...
Weidong Zhao +3 more
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Pracì Mìžnarodnogo Geometričnogo Centru, 2021 We study the relationship between structural properties of the two-dimensional nonconjugate subalgebras of the same rank of the Lie algebra of the Poincaré group P(1,4) and the properties of reduced equations for the (1+3)-dimensional homogeneous Monge ...
Vasyl Fedorchuk, Volodymyr Fedorchuk
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