Browsing by Subject "Ordinary differential equations"
Now showing items 1-12 of 12
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Article
Boundary value problems for quasilinear ODEs
(2005)A priori bounds for the quasilinear ordinary differential equations (ODE), are discussed. A priori bounds for the derivative of the solution of one-dimensional p-Laplacian are proved. The global solvability of quasilinear ...
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Article
Conservation laws and hierarchies of potential symmetries for certain diffusion equations
(2009)We show that the so-called hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 2234-2242] are ordinary potential symmetries ...
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Article
Enhanced group classification of Benjamin–Bona–Mahony–Burgers equations
(2017)A class of the Benjamin–Bona–Mahony–Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformations of the class is described exhaustively. ...
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Lie symmetries of generalized Burgers equations: application to boundary-value problems
(2015)There exist several approaches exploiting Lie symmetries in the reduction of boundary-value problems for partial differential equations modelling real-world phenomena to those problems for ordinary differential equations. ...
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Looking for the integrating factor: The darboux approach
(2014)We present a method for the solution of first-order ordinary differential equations based on a class of polynomials known as Darboux polynomials. Integrating factors, used to convert the equations in exact form, and constants ...
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Article
Non-peturbative density expansions for extended Coulomb systems
(2000)We present a general non-perturbative argument that combines the Pauli and virial theorems for a multicomponent translationally invariant Coulombic system of fermions at zero temperature, and which by an iteration procedure ...
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Numerical similarity reductions of the (1+3)-dimensional Burgers equation
(2011)We consider the (1+3)-dimensional Burgers equation ut = u xx + uyy + uzz + uux which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We ...
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Piecewise linear emulator of the nonlinear Schrödinger equation and the resulting analytic solutions for Bose-Einstein condensates
(2003)A most general method for finding very good analytic approximate solutions to the cubic nonlinear Schrodinger equation is presented. This method applies whenever the nonlinearity in that equation is a purely cubic one. It ...
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Similarity reductions of the (1 + 3)-dimensional Burgers equation
(2009)We consider the (1 + 3)-dimensional Burgers equation ut = uxx + uyy + uzz + uux which has considerable interest in mathematical physics. We complete the list of similarity reductions that are obtained from the Lie symmetries ...
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Article
Speed selection mechanism for propagating fronts in reaction-diffusion systems with multiple fields
(2002)We introduce a speed selection mechanism for front propagation in reaction-diffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...
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Article
Speed selection mechanism for propagating fronts in reaction-diffusion systems with multiple fields
(2002)We introduce a speed selection mechanism for front propagation in reaction-diffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...
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Article
Speed selection mechanism for propagating fronts in reaction-diffusion systems with multiple fields123
(2002)We introduce a speed selection mechanism for front propagation in reaction-diffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...