Browsing by Subject "Ordinary differential equations"
Now showing items 112 of 12

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 onedimensional pLaplacian are proved. The global solvability of quasilinear ...

Article
Conservation laws and hierarchies of potential symmetries for certain diffusion equations
(2009)We show that the socalled hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 22342242] are ordinary potential symmetries ...

Article
Enhanced group classification of Benjamin–Bona–Mahony–Burgers equations
(2017)A class of the Benjamin–Bona–Mahony–Burgers (BBMB) equations with timedependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformations of the class is described exhaustively. ...

Article
Lie symmetries of generalized Burgers equations: application to boundaryvalue problems
(2015)There exist several approaches exploiting Lie symmetries in the reduction of boundaryvalue problems for partial differential equations modelling realworld phenomena to those problems for ordinary differential equations. ...

Article
Looking for the integrating factor: The darboux approach
(2014)We present a method for the solution of firstorder 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 ...

Article
Nonpeturbative density expansions for extended Coulomb systems
(2000)We present a general nonperturbative 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 ...

Article
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 ...

Article
Piecewise linear emulator of the nonlinear Schrödinger equation and the resulting analytic solutions for BoseEinstein 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 ...

Article
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 ...

Article
Speed selection mechanism for propagating fronts in reactiondiffusion systems with multiple fields
(2002)We introduce a speed selection mechanism for front propagation in reactiondiffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...

Article
Speed selection mechanism for propagating fronts in reactiondiffusion systems with multiple fields
(2002)We introduce a speed selection mechanism for front propagation in reactiondiffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...

Article
Speed selection mechanism for propagating fronts in reactiondiffusion systems with multiple fields123
(2002)We introduce a speed selection mechanism for front propagation in reactiondiffusion systems with multiple fields. This mechanism applies to pulled and pushed fronts alike, and operates by restricting the fields to large ...