Results 31 to 40 of about 342,930 (267)

On the solutions and conservation laws of the Yu–Toda–Sasa–Fukuyama equation of plasma physics

open access: yesResults in Physics, 2021
In this work, we investigate the two-dimensional Yu–Toda–Sasa–Fukuyama equation, which has many applications in plasma physics and other fields of study in natural sciences.
Karabo Plaatjie, Chaudry Masood Khalique
doaj   +1 more source

A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis

open access: yesResults in Physics, 2016
An analytical approach based on the compatibility concept is employed to solve a nonlinear reaction–diffusion model arising in mathematical biology. The solution process makes it extremely easy to obtain a relatively accurate closed-form solution of the ...
Taha Aziz   +2 more
doaj   +1 more source

Symmetries of Symmetry Breaking Constraints

open access: yes, 2010
Symmetry is an important feature of many constraint programs. We show that any problem symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry class. This simple but powerful idea can be used in a number of different ways.
George Katsirelos, Toby Walsh
openaire   +3 more sources

On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics

open access: yesOpen Physics, 2018
In this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it.
Motsepa Tanki, Masood Khalique Chaudry
doaj   +1 more source

Symmetries of Polynomials

open access: yesJournal of Symbolic Computation, 2000
Let \(Q(x,y) = \sum_{i=0}^n a_ix^i y^{n-i}\) be a binary form of degree~\(n\) with real or complex coefficients \(a_i\). Classical invariant theory deals with the invariants of binary forms under the action of SL\(_2\). The article under review takes a different point of view.
Irina Berchenko, Peter J. Olver
openaire   +1 more source

Conservation Laws for a Variable Coefficient Variant Boussinesq System

open access: yesAbstract and Applied Analysis, 2014
We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which
Ben Muatjetjeja, Chaudry Masood Khalique
doaj   +1 more source

Symmetry TFT for subsystem symmetry

open access: yesJournal of High Energy Physics
Abstract We generalize the idea of symmetry topological field theory (SymTFT) for subsystem symmetry. We propose the 2-foliated BF theory with level N in (3 + 1)d as subsystem SymTFT for subsystem ℤ N symmetry in (2 + 1)d. Focusing on N = 2, we investigate various topological boundaries.
Weiguang Cao, Qiang Jia
openaire   +4 more sources

The Sound of Symmetry [PDF]

open access: yesThe American Mathematical Monthly, 2015
This note begins with an introduction to the inverse isospectral problem popularized by M. Kac's 1966 article in the American Mathematical Monthly, "Can one hear the shape of a drum?" Although the answer has been known for some twenty years now, many open problems remain.
Zhiqin Lu, Julie Rowlett
openaire   +3 more sources

New Exact Solutions for a Generalized Double Sinh-Gordon Equation

open access: yesAbstract and Applied Analysis, 2013
We study a generalized double sinh-Gordon equation, which has applications in various fields, such as fluid dynamics, integrable quantum field theory, and kink dynamics. We employ the Exp-function method to obtain new exact solutions for this generalized
Gabriel Magalakwe   +1 more
doaj   +1 more source

Incidence and Severity of Carboplatin‐Associated Hearing Loss in Children With Cancer Assessed by the SIOP Boston 2012 Ototoxicity Criteria

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Platinum‐based chemotherapy is known to cause severe and debilitating hearing loss, but unlike cisplatin, the true incidence of carboplatin‐induced hearing loss remains unclear. We evaluated functional hearing outcomes in children receiving carboplatin to determine the incidence and severity of ototoxicity. Procedure We identified a
Aniket Chawla   +6 more
wiley   +1 more source

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