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Using the Continuous Spectrum to “Feel” Integrability: the Effect of Boundary Conditions
Test model integrability partial differential differential difference equations of continuous spectrum
2014/12/29
The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric families of PDE/DDE’...
The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions
Two-dimensional nonlinear model of discretization solitary wave
2014/12/24
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schr¨odinger (NLS) model. We use singularity confinement techniques to sug...
Strong exponential integrability of sums of independent B-valued random vectors
Strong exponential integrability sums of independent B-valued random vectors
2009/9/24
Strong exponential integrability of sums of independent B-valued random vectors。
On polynomial chaos and integrability。
Integrability of stable processes。