Results 21 to 30 of about 364,726 (278)
Complexity, 2020 In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
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Results in Physics, 2019 This paper obtains optical soliton solutions with parabolic law nonlinearity coupled in nonlocal nonlinear medium. Lie symmetry analysis coupled with modified G′/G-expansion scheme retrieves these solitons.
Anupma Bansal +5 more
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CONSERVATION LAWS AND SYMMETRY ANALYSIS OF (1+1)-DIMENSIONAL SAWADA-KOTERA EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper addresses an extended (1+1)-dimensional Sawada-Kotera (SK) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation.
S. R. Hejazi, E. Lashkarian
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Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
, 2019 In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
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Lie symmetry analysis and conservation laws for the time fractional fourth-order evolution equation
上海师范大学学报. 自然科学版, 2017 In this paper, we study Lie symmetry analysis and conservation laws for the time fractional nonlinear fourth-order evolution equation. Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions ...
Wang Li +3 more
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Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
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Results in Physics, 2020 In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer +5 more
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On the Integrability, B\"Acklund Transformation and Symmetry Aspects of a Generalized Fisher Type Nonlinear Reaction-Diffusion Equation [PDF]
, 2004 The dynamics of nonlinear reaction-diffusion systems is dominated by the onset of patterns and Fisher equation is considered to be a prototype of such diffusive equations.
Bluman G. W. +14 more
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Conservation laws for perturbed solitons in optical metamaterials
Results in Physics, 2018 The conservation laws for the dynamics of soliton propagation through optical metamaterials are derived by the aid of Lie symmetry analysis. The proposed model will be studied with two forms of nonlinearity. They are Kerr law and parabolic law. Keywords:
Anjan Biswas +6 more
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A symmetry-adapted numerical scheme for SDEs [PDF]
, 2019 We propose a geometric numerical analysis of SDEs admitting Lie symmetries which allows us to individuate a symmetry adapted coordinates system where the given SDE has notable invariant properties.
De Vecchi, Francesco C. +2 more
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