Results 31 to 40 of about 705,780 (301)
Advances in Mathematical Physics, 2014 We analyze the (3+1)-dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the (3+1)-dimensional Boussinesq equation by utilizing the Lie symmetry method along with the simplest equation method.
Letlhogonolo Daddy Moleleki +1 more
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Partial Differential Equations in Applied Mathematics, 2021 This paper analytically investigates a new (2+1)-dimensional extended shallow water wave equation. Lie group theory along with direct integration is used to achieve some solutions of the equation.
Oke Davies Adeyemo +1 more
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Symmetries of Symmetry Breaking Constraints
, 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
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Journal of Applied Mathematics, 2012 We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations.
Isaiah Elvis Mhlanga +1 more
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On the solutions and conservation laws of the Yu–Toda–Sasa–Fukuyama equation of plasma physics
Results 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
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Results 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
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Journal 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
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The 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
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Open 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
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Conservation Laws for a Variable Coefficient Variant Boussinesq System
Abstract 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
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