Results 31 to 40 of about 6,531,183 (350)
AIMS Mathematics, 2022 Based on the variable separation method, the Kadomtsev-Petviashvili equation is transformed into a system of equations, in which one is a fractional ordinary differential equation with respect to time variable t, and the other is an integer order ...
Cheng Chen
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Nonequilibrium corrections to energy spectra of massive particles in expanding universe [PDF]
, 1996 Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial differential ...
A.D. Dolgov +14 more
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Gravitating fluids with Lie symmetries
, 2010 We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi +9 more
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The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]
, 2003 Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
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On the existence of solutions of a three steps crisis integro-differential equation
, 2018 There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation.
D. Baleanu +3 more
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Data-driven discovery of partial differential equations [PDF]
Science Advances, 2016 Researchers propose sparse regression for identifying governing partial differential equations for spatiotemporal systems. We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by ...
S. Rudy, S. Brunton, J. Proctor, J. Kutz
semanticscholar +1 more source
Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
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Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation
, 2011 We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov +6 more
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Probabilistic Representations of Solutions of the Forward Equations [PDF]
, 2007 In this paper we prove a stochastic representation for solutions of the evolution equation $ \partial_t \psi_t = {1/2}L^*\psi_t $ where $ L^* $ is the formal adjoint of an elliptic second order differential operator with smooth coefficients corresponding
Rajeev, B., Thangavelu, S.
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Treatment of a generalized scalar differential equation: analysis and explicit solution
Frontiers in PhysicsObtaining a solution of a given SDE is essential in neuroscience, especially, in modeling transmission of nerve impulses between neurons through myelin substance. This paper analyzes a particular scalar differential equation (SDE).
Laila F. Seddek +3 more
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