Invariant Solutions
Invariant solutions of Barlett and Whitaker’s equations
... exact solutions and performing symmetry reductions of differential ...of solutions is necessary and significant for a complete understanding of the invariant ...find invariant solutions ...
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Symmetry group analysis and invariant solutions of hydrodynamic type systems
... arbitrary solutions of a linear system of ...corresponding invariant solutions determine a linearizing transformation which reduces the problem of obtain- ing solutions of a nonlinear system ...
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Potential Symmetries, One Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations
... new invariant solutions and exact solutions of the Coupled Burgers’ equa- tions by applying Lie transformation groups on the invariant ...
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Some invariant solutions and conservation laws of a type of long water wave system
... where α, β are constants, so that some symmetries of (2) are produced by the symmetry group method [6]. It follows that some similarity solutions, group-invariant solutions, and series ...
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Optimal System and Invariant Solutions on ((Uyy(t,s,y)－Ut(t,s,y))y－2sUsy(t,s,y))y＋（s2＋1)Uss(t,s,y)＋2sUs=0
... the Navier-Stokes equations. Subgroups for studying are taken from the part of optimal system of subalgebras con- sidered for the gas dynamics equations [1]. The proposed research will deal with two-dimensional optimal ...
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On Group Invariant Solutions to the Maxwell Dirac equations
... group invariant solutions of the Maxwell Dirac equations for a relativistic electron spinor in its own self-consistent electromag- netic ...of solutions in- variant under subgroups of the Poincaré ...
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Lie symmetry Analysis and Invariant Solutions for Multiregion Neutron Diffusion Equation
... several invariant solutions representing each of them the sense of ...explicit solutions for Cartesian geometry are examined that are given for the first time in this work and had characteristics ...
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Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation
... The first advantage of symmetry group method is to construct new solutions from known solutions. To do this, the infinitesimals are considered and their corresponding invariants are determined. The ...
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Invariant Solutions of Two Dimensional Heat Equation
... the solutions of the equation into ...of solutions that are invariant with respect to the symmetry group of the ...of invariant solutions includes exact solutions that have ...
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Invariant solutions and conservation laws for a three-dimensional K-S equation
... In this paper, we study three-dimensional Kudryashov-Sinelshchikov (K-S) equation, which describes long nonlinear pressure waves in a liquid containing gas bubbles. Firstly, We find the symmetry groups of the K-S ...
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Approximate and Invariant Solutions of a Mathematical Model Describing a Simple One Dimensional Blood Flow of Variable Density
... possible solutions asso- ciated with the governing equations describing a simple one-dimensional blood flow that would depict a blood progressing within a thin and elastic pulsating ...
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Group Invariant Solutions for the Generalised Fisher Type Equation
... In this paper, we construct the group-invariant (exact) solutions for the generalised Fisher type equation using both classical Lie point and the nonclassical symmetry techniques. The generalised Fisher ...
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RG invariant solutions for the soft supersymmetry breaking parameters
... Finite GUT phenomenology attracts occasional interest [16] but is lacking a convincing derivation from an underlying theory. In the non-finite case, on the other hand, the conformal anomaly justification is very ...
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On symmetries and invariant solutions of a coupled KdV system with variable coefficients
... system invariant and the admissible forms of the coefficients are obtained using the generalized symmetry method based on the Fr´echet derivative of the di ff erential ...
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The sharp interface limit of the stochastic Allen Cahn equation
... joining invariant solutions together to form quasi-invariant solutions, which (together with the approximately orthogonal distance) we will use as the coordinate sys- tem; given a sufficiently ...
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Classical and partial symmetries of the Benney equation
... Lie symmetry group method is applied to study Benney equation. The symmetry group and its optimal system are given,and group invariant solutions associated to the symmetries are obtained. Also the structure ...
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Symmetry properties of a generalized Korteweg de Vries equation and some explicit solutions
... The symmetry group method is applied to a generalized Korteweg-de Vries equation and several classes of group invariant solutions for it are obtained by means of this technique. Polynomial, trigonometric, ...
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Lie Symmetry and Painlevé Test for the SIRD Model
... performed a Lie symmetry method of the reduced equations to obtain invariant solutions.. The explicit.[r] ...
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Bifurcation theory of a racetrack economy in a spatial economy model
... non-invariant solutions, in addition to invariant ones, in ...(d); invariant solutions correspond to the horizontal lines and non-invariant ones to the non-horizontal ones; ...
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On Degree-d Zero-Sum Sets of Full Rank
... In this section, we point out the implications of the above results on degree-d sum- invariant matrices. The most interesting implication is that any bijective degree-3 sum- invariant matrix must be ...
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