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
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
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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
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Symmetries of Symmetry Breaking Constraints
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
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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
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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
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Conservation Laws for a Variable Coefficient Variant Boussinesq System
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
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Symmetry TFT for subsystem symmetry
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
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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
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New Exact Solutions for a Generalized Double Sinh-Gordon Equation
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
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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
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