Browsing by Subject "Nonlinear equations"
Now showing items 21-30 of 30
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Article
Piecewise analytic approximation for Bose-Einstein condensates in isotropic harmonic traps
(2004)Analytic simulacra of the wave functions in the regions around the origin and far from the origin were constructed to emulate the ground state and the single-vortex state of a Bose-Einstein condensate in an isotropic ...
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Article
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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Article
Pulse collisions and polarisation conversion for optical fibres
(1994)Axisymmetric fibres support linearly and circularly polarised sech pulses and also elliptically polarised pulses having more complicated profile. Collisions between any two such pulses are studied numerically. Large collision ...
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Conference Object
Robust adaptive fault-tolerant control with trajectory optimization
(2007)This paper proposed an adaptive fault-tolerant flight control scheme where the trajectory optimization is combined with the certainty equivalence principle to achieve the optimal path with occurrence of failures. The ...
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Article
Structurally-defined semi-interpenetrating amphiphilic polymer networks with tunable and predictable mechanical response
(2016)The synthesis of structurally-defined semi-interpenetrating amphiphilic networks is realized by employing an easy and versatile synthetic concept based on the encapsulation of well-defined hydrophobic linear polymer chains ...
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Article
Structure-based turbulence model: Application to a rotating pipe flow
(2002)A new approach for modeling the one-point turbulence statistics, which takes into account the information on turbulence structure, has been suggested in Kassinos and Reynolds (Report TF-61, Thermosciences Division, Department ...
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Article
Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations
(2003)We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form f(x)ut = [g(x)unux]x. We present a complete classification of Lie symmetries and form-preserving point transformations in the ...
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Article
Symmetries and form-preserving transformations of one-dimensional wave equations with dissipation
(2001)General results are given for the forms of infinitesimal point symmetries of the class of partial differential equations in which utt is a function of x,t,u,ut and the x-derivatives of u up to order n ≥ 2. Continuous and ...
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Article
Symmetry analysis of a model of stochastic volatility with time-dependent parameters
(2011)We provide the solutions for the Heston model of stochastic volatility when the parameters of the model are constant and when they are functions of time. In the former case, the solution follows immediately from the ...
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Article
Transformation properties of a variable-coefficient Burgers equation
(2004)In this paper we consider the variable coefficient equation u t=b(t)uux+a(t)uxx which among other applications has considerable interest in nonlinear acoustics. We present transformation properties of this generalised ...