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Initial-irregular oblique derivative problem for nonlinear parabolic equations of second order in multiply connected domains
Initial-irregular oblique derivative problem nonlinear parabolic equa-tions multiply connected domains
2014/9/26
n this article, we discuss that an initial-irregular oblique derivative problem for non-linear uniformly parabolic complex equation of second order
A0
u
zˉ z −Re[Quzz+A1
u
z
]−A2
u&...
The approximate method of irregular oblique derivative problem for nonlinear elliptic equa-tions in multiply connected infinite domains
Approximate method irregular oblique derivative problem nonlinear elliptic equations multiply connected infinite domains
2014/9/26
n this article, we discuss the approximate method of solving irregular
oblique derivative problem for nonlinear uniformly elliptic equation of second order
u
z1 z =F(z; u; u
z
; u
zz
) in D; (0...
Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
Compactons Nonlinear Schrö dinger Lattices Nonlinearity Management
2010/11/10
The existence of compactons in the discrete nonlinear Schr\"odinger equation in the presence of fast periodic time modulations of the nonlinearity is demonstrated. In the averaged DNLS equation the re...
Symmetry Groups and Exact Solutions of a (3+1)-dimensional Nonlinear Evolution Equation and Maccari’s System
symmetry group (3+1)-dimensional nonlin ear evolution equation Maccari’s system
2012/9/25
Based on the generalized symmetry group method and symbolic computation, both the Lie point groups and the non-Lie symmetry groups of a (3+1)-dimensional nonlinear evolution equation as well as the Ma...
Some remarks on Kahler differentials and ordinary differentials in nonlinear control theory
Nonlinear systems Algebraic methods Kahler differentials Differential one-forms
2013/9/3
In the algebraic approach to nonlinear control systems two similar notions, namely Kahler differentials and the formal vector space of differential one-forms having the properties of ordinary differen...
Computational Modelling of Nonlinear Calcium Waves
Nonlinear Calcium Waves Computational Modelling reaction-diffusion process
2010/4/6
The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from t...
One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
One Parameter Scaling Disordered Nonlinear Systems Stationary States
2010/4/6
We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scalin...
Band-edge solitons, Nonlinear Schrodinger / Gross-Pitaevskii Equations and Effective Media
Band-edge solitons Nonlinear Schrodinger Gross-Pitaevskii Equations
2010/4/2
We consider a class of nonlinear Schrodinger / Gross-Pitaevskii (NLS/GP) equations with periodic potentials, having an even symmetry. We construct "solitons", centered about any point of symmetry of t...
Twin-vortex solitons in nonlocal nonlinear media
Twin-vortex solitons nonlocal nonlinear media
2010/4/1
We consider soliton formation in thermal nonlinear media bounded by rectangular cross-sections and uncover a new class of nonlinear stationary topological state. Specifically, we find that stationary ...