Results 41 to 50 of about 7,793,267 (329)

DUALITY INVARIANCE OF COSMOLOGICAL SOLUTIONS WITH TORSION [PDF]

International Journal of Modern Physics A, 1999
We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) ⊗ O(d) transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric.
Gangopadhyay, Debashis, Sengupta, Soumitra   +1 more
openaire   +3 more sources

A refined invariant subspace method and applications to evolution equations

, 2012
The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution ...
A. S. Fokas, C. R. Zhu, C. X. Li, C. Z. Qu, C. Z. Qu, C. Z. Qu, G. W. Bluman, J. R. King, L. Debnath, P. J. Olver, R. Hirota, R. Hirota, R. Z. Zhdanov, S. F. Shen, S. R. Svirshchevskii, S. R. Svirshchevskii, S. S. Titov, V. A. Galaktionov, V. A. Galaktionov, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W.X. Ma, Wen-Xiu Ma   +28 more
core   +1 more source

The Compatibility of Some Integrability Methods and Related Solutions for the Variable Coefficients Geophysical KdV Model

Axioms
This paper focuses on the variable coefficients geophysical KdV (VCGKdV) equation, which involves time-dependent perturbation, nonlinearity and dispersion parameters.
Rodica Cimpoiasu, Radu Constantinescu, Corina Nicoleta Babalic   +2 more
doaj   +1 more source

Survey of Eight Modern Methods of Hamiltonian Mechanics

Axioms, 2021
Here we describe eight new methods, arisen in the last 60 years, to study solutions of a Hamiltonian system with n degrees of freedom. The first six of them are intended for systems with small parameters or without them.
Alexander D. Bruno, Alexander B. Batkhin
doaj   +1 more source

Invariant Solutions for Soil Water Equations

Mathematical and Computational Applications, 1999
We obtain exact solutions for a class of nonlinear partial differential equations which models soil water infiltration and redistribution in a bedded soil profile irrigated by a drip irrigation system. The solutions obtained are invariant under two parameter symmetry groups.
Baikov, V., Khalique, C.
openaire   +1 more source

Group invariant solutions for the planar Schrödinger-Poisson equations

Electronic Research Archive, 2023
This paper is concerned with the following planar Schrödinger-Poisson equations $ \begin{equation*} -\Delta{u}+V(x)u+\left(\ln{|\cdot|}\ast |u|^p\right)|u|^{p-2}u = f(x,u),\; \; \; x\in\mathbb{R}^{2}, \end{equation*} $ where $ p\geq2 $ is a ...
Ganglong Zhou
doaj   +1 more source

Changes in Body Composition in Children and Young People Undergoing Treatment for Acute Lymphoblastic Leukemia: A Systematic Review and Meta‐Analysis

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Ongoing evidence indicates increased risk of sarcopenic obesity among children and young people (CYP) with acute lymphoblastic leukemia (ALL), often beginning early in treatment, persisting into survivorship. This review evaluates current literature on body composition in CYP with ALL during and after treatment.
Lina A. Zahed, Raquel Revuelta Iniesta, Mary Fewtrell, Julie Lanigan, Breeana Gardiner, Graeme O'Connor   +5 more
wiley   +1 more source

Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice

, 2002
The Fermi-Pasta-Ulam (FPU) lattice with periodic boundary conditions and $n$ particles admits a large group of discrete symmetries. The fixed point sets of these symmetries naturally form invariant symplectic manifolds that are investigated in this short
Bivins, Bob Rink, Budinsky, Chechin, Chechin, Ford, Izrailev, Nishida, Rink, Stroucken, Zabuski   +10 more
core   +2 more sources

Linear feedback control of invariant solutions in channel flow

Journal of Fluid Mechanics, 2019
Considering channel flow at Reynolds numbers below the linear stability threshold of the laminar profile as a generic example system showing a subcritical transition to turbulence connected with the existence of simple invariant solutions, we here ...
M. Linkmann, Florian Knierim, S. Zammert, B. Eckhardt   +3 more
semanticscholar   +1 more source

Invariant solutions of hydrodynamic-type equations

Journal of Physics A: Mathematical and General, 2000
Summary: Conditions are established under which a system of hydrodynamic-type equations with time-dependent coefficients allows an infinite-dimensional group of hydrodynamic-type symmetries. When this group exists it is used to linearize and solve the original system.
Grundland, AM, Sheftel, MB, Winternitz, P   +2 more
openaire   +3 more sources