Results 261 to 270 of about 7,793,267 (329)
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Codimension two Lie invariant solutions of the modified Khokhlov–Zabolotskaya–Kuznetsov equation
Mathematical methods in the applied sciences, 2020Invariant solutions for the modified Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation are obtained by using classical Lie symmetries. The complete set of local point symmetries is established for modified KZK equation governing the propagation of finite ...
Purnima Satapathy +2 more
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Functionally invariant solutions to Maxwell’s system
Journal of Applied and Industrial Mathematics, 2017Summary: We consider the problem of the existence of functionally invariant solutions to Maxwell's system. The solutions found contain functional arbitrariness, which is used for determining the parameters of Maxwell's system (the dielectric and magnetic constants).
M. V. Neshchadim
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Group invariant solutions to a centro-affine invariant flow
Archiv der Mathematik, 2017The authors systematically study the group-invariant solutions of the centroaffine heat flow using Lie's theory of symmetry groups.
Weifeng Wo, Shuxin Yang, Xiao-Liu Wang
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Annals of Physics, 2019
Nonlinear spin excitations in ferromagnetic spin chains are studied for spintronic and magnetic devices including magnetic‐field sensors and for high‐density data storage.
Xia-Xia Du +3 more
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Nonlinear spin excitations in ferromagnetic spin chains are studied for spintronic and magnetic devices including magnetic‐field sensors and for high‐density data storage.
Xia-Xia Du +3 more
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, 2020
This paper studies the potential form of the 3D potential Yu–Toda–Sasa–Fukuyama equation through the perspective of Lie symmetry analysis. This technique combined with symbolic computations does prove that the general Lie operator depends on five ...
R. Cimpoiasu
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This paper studies the potential form of the 3D potential Yu–Toda–Sasa–Fukuyama equation through the perspective of Lie symmetry analysis. This technique combined with symbolic computations does prove that the general Lie operator depends on five ...
R. Cimpoiasu
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Classifying algebraic invariants and algebraically invariant solutions
Chaos, Solitons & Fractals, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Group invariant solutions of (2+1)-dimensional rdDym equation using optimal system of Lie subalgebra
Physica Scripta, 2019We use the Lie group method to investigate a one-dimensional optimal system of Lie subalgebra for a (2+1)-dimensional rdDym equation. The new closed form solutions of the rdDym equation are constructed.
Sachin Kumar +3 more
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Invariant solutions of the Eckhaus-Kundu model with nonlinear dispersion and non-Kerr nonlinearities
Waves in Random and Complex Media, 2019This paper will study Eckhaus-Kundu equation from the perspective of Lie symmetry analysis. We will systematically construct similarity reductions in order to perform the explicit invariant solutions of this version of the nonlinear Schrödinger equation ...
R. Cimpoiasu, R. Constantinescu
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Monotone Invariant Solutions to Differential Inclusions
Journal of the London Mathematical Society, 1977Abstract : Let a given set be endowed with a preference preordering, and consider the problem of finding a solution to a differential inclusion which remains in the given set and evolves monotonically with respect to the preordering. Sufficient conditions are given for the existence of such a trajectory, couched in terms of a notion of tangency ...
Clarke, Frank H., Aubin, J.-P.
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Explicit invariant solutions for invariant linear differential operators
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1984SynopsisLet F be a real analytic function on a real analytic manifold X. Let P be a linear differential operator on X such that , where Q is an ordinary differential operator with analytic coefficients whose singular points are all regular. For each (isolated) critical value z of F, we construct locally an F-invariant solution u of the equation Pu - v,
Szmydt, Zofia, Ziemian, Bogdan
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