Results 1 to 10 of about 546,512 (289)

T 3-invariant heterotic Hull-Strominger solutions [PDF]

Journal of High Energy Physics, 2021
We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T 3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat connection on ℝ3 ...
Bobby Samir Acharya, Alex Kinsella, Eirik Eik Svanes   +2 more
doaj   +5 more sources

Weak Transversality and Partially Invariant Solutions [PDF]

Journal of Mathematical Physics, 2002
New exact solutions are obtained for several nonlinear physical equations, namely the Navier-Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schroedinger equation.
A. M. Grundland, Anderson, Arrigo, Benney, Berkhoer, Bluman, Bluman, Cicogna, Clarkson, Clarkson, Grassi, Grimshaw, Grundland, Grundland, Grundland, Ibragimov, Ibragimov, Krasil’shchik, Leo, Levi, Lloyd, Martina, Martina, Martina, Nutku, Olver, Olver, Olver, Ondich, Ondich, Ovsiannikov, Ovsiannikov, P. Tempesta, P. Winternitz, Pucci, Quinn, Saccomandi, Sastri, Sciarrino   +38 more
core   +4 more sources

Group invariant solutions of wave propagation in phononic materials based on the reduced micromorphic model via optimal system of Lie subalgebra

Results in Physics, 2023
In this paper the system of equations arising from a simplified micromorphic model is studied using the Lie symmetry approach. The advantage of this approach is that is provides exact invariant solutions rather than numerical or approximate ones reported
M. Usman, Akhtar Hussain, F.D. Zaman, Sayed M. Eldin   +3 more
doaj   +3 more sources

Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation [PDF]

Discrete Dynamics in Nature and Society, 2013
One-dimensional optimal systems for nonhomogeneous discrete heat equation with different source terms are calculated. By utilizing these optimal systems invariant solutions are found.
M. N. Qureshi, A. Q. Khan, M. Ayub, Q. Din   +3 more
doaj   +2 more sources

Exact Solutions of G-Invariant Chiral Equations

Mathematical Notes, 1994
We give a methodology for solving the chiral equations $(\alpha g_{,z} g^{-1})_{,\overline z} + (\alpha g_{,\overline z} g^{-1})_{,z} \ = \ 0 $ where $g$ belongs to some Lie group $G$. The solutions are writing in terms of Harmonic maps. The method could
Matos, Tonatiuh
core   +3 more sources

Making solutions invariant [PDF]

International Journal of Game Theory, 2003
This paper presents a method to modify a non-invariant solution concept in such a way that the resulting solution is invariant. The properties of the solution which are inherited by the modified solution are also analyzed. In particular, the authors show that the modified solution concept inherits all other requirements of Kohlberg-Mertens program ...
Vermeulen, A.J., Jansen, M.J.M., Potters, J.A.M.   +2 more
openaire   +3 more sources

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, Munir Muhammad Mobeen, Bashir Hajra, Ahmad Daud, Athar Muhammad   +4 more
doaj   +1 more source

λ-Symmetry and μ-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations

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
doaj   +1 more source

On symmetry reduction and some classes of invariant solutions of the (1+3)-dimensional homogeneous Monge-Ampère equation

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
doaj   +1 more source

Group Invariant Solutions and Conserved Quantities of a (3+1)-Dimensional Generalized Kadomtsev–Petviashvili Equation

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, Chaudry Masood Khalique   +1 more
doaj   +1 more source