New exact solutions of (3 + 1)‐dimensional generalized Kadomtsev‐Petviashvili equation using a combination of lie symmetry and singular manifold methods
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6031
Abstract: A new combination of Lie symmetry and Singular Manifold methods has been employed to study (3 + 1)‐dimensional generalized Kadomtsev‐Petviashvili (KP). Infinite‐dimensional space of Lie vectors has been established. Single and dual linear combinations of… read more here.
Keywords: lie symmetry; equation; singular manifold; symmetry singular ... See more keywords
Lie symmetry analysis and invariant solutions of $$\varvec{(3+1)}$$(3+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4196-z
Abstract: Lie group analysis is applied to carry out the similarity reductions of the $$(3+1)$$(3+1)-dimensional Calogero–Bogoyavlenskii–Schiff (CBS) equation. We obtain generators of infinitesimal transformations of the CBS equation and each of these generators depend on various… read more here.
Keywords: cbs equation; dimensional calogero; calogero bogoyavlenskii; lie symmetry ... See more keywords
Generalized Lie symmetry analysis for non-linear differential equations: A purely viscous fluid model
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DOI: 10.1016/j.rinp.2017.09.020
Abstract: Abstract Prime objective of present study is to provide procedure in obtaining symmetries for mixed convection flow of viscous fluid due to an inclined porous stretching sheet. Two cases of stretching velocity namely power law… read more here.
Keywords: analysis; symmetry analysis; lie symmetry; viscous fluid ... See more keywords
Some more closed-form invariant solutions and dynamical behavior of multiple solitons for the (2+1)-dimensional rdDym equation using the Lie symmetry approach
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DOI: 10.1016/j.rinp.2021.104201
Abstract: Abstract The present study is devoted to obtaining some exact generalized solutions and new solitary wave solutions for a (2+1)-dimensional nonlinear r th dispersionless Dym (rdDym) equation by utilizing the Lie symmetry analysis. The Lie… read more here.
Keywords: closed form; solitons parabolic; lie symmetry; symmetry ... See more keywords
Lie symmetry methods for local volatility models
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DOI: 10.1016/j.spa.2019.10.009
Abstract: Abstract We investigate PDEs of the form u t = 1 2 σ 2 ( t , x ) u x x − g ( x ) u which are associated with the calculation of… read more here.
Keywords: volatility; volatility models; lie symmetry; symmetry methods ... See more keywords
Lie symmetry analysis and soliton solutions for complex short pulse equation
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DOI: 10.1080/17455030.2020.1807074
Abstract: The current study is dedicated for operating the Lie symmetry approach, to complex short pulse equation. The method reduces the complex short pulse equation to a system of ordinary differential equ... read more here.
Keywords: complex short; lie symmetry; short pulse; pulse equation ... See more keywords
Lie symmetry reductions, abound exact solutions and localized wave structures of solitons for a (2 + 1)-dimensional Bogoyavlenskii equation
Sign Up to like & getrecommendations! Published in 2021 at "Modern Physics Letters B"
DOI: 10.1142/s0217984921502523
Abstract: By applying the two efficient mathematical methods particularly with regard to the classical Lie symmetry approach and generalized exponential rational function method, numerous exact solutions are constructed for a (2 + 1)-dimensional Bogoyavlenskii equation, which… read more here.
Keywords: symmetry reductions; bogoyavlenskii equation; lie symmetry; symmetry ... See more keywords
Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth
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DOI: 10.1155/2020/4975943
Abstract: In this paper, a complete Lie symmetry analysis is performed for a nonlinear Fokker-Planck equation for growing cell populations. Moreover, an optimal system of one-dimensional subalgebras is constructed and used to find similarity reductions and… read more here.
Keywords: planck equation; fokker planck; lie symmetry; symmetry analysis ... See more keywords
Approximate Lie Symmetry Conditions of Autoparallels and Geodesics
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DOI: 10.1155/2020/8814657
Abstract: This paper is devoted to the study of approximate Lie point symmetries of general autoparallel systems. The significance of such systems is that they characterize the equations of motion of a Riemannian space under an… read more here.
Keywords: autoparallels geodesics; conditions autoparallels; lie symmetry; symmetry conditions ... See more keywords
Lie symmetry reductions and conservation laws for fractional order coupled KdV system
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DOI: 10.1186/s13662-020-03149-z
Abstract: Lie symmetry analysis is achieved on a new system of coupled KdV equations with fractional order, which arise in the analysis of several problems in theoretical physics and numerous scientific phenomena. We determine the reduced… read more here.
Keywords: system; fractional order; coupled kdv; lie symmetry ... See more keywords
Lie symmetry analysis and conservation laws for the time fractional simplified modified Kawahara equation
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DOI: 10.1515/phys-2018-0042
Abstract: Abstract In this work, Lie symmetry analysis for the time fractional simplified modified Kawahara (SMK) equation with Riemann-Liouville (RL) derivative, is analyzed. We transform the time fractional SMK equation to nonlinear ordinary differential equation (ODE)… read more here.
Keywords: time fractional; conservation; symmetry analysis; lie symmetry ... See more keywords