62 citations · 167 across the 32 of their papers we have counts for
6 papers · 1 filter
The Perturbed NLS Equation and Asymptotic Integrability
Yair Zarmi
The perturbed NLS equation is asymptotically integrable if the zero-order approximation to the solution is a single soliton. It is not integrable for any other zero-order solution.…
Freedom in the Expansion and Obstacles to Integrability in Multiple-Soliton Solutions of the Perturbed KdV Equation
Alex veksler, Yair Zarmi
The construction of a solution of the perturbed KdV equation encounters obstacles to asymptotic integrability beyond the first order, when the zero-order approximation is a multipl…
Spontaneously generated waves and obstacles to integrability in perturbed evolution equations
Alex Vekser, Yair Zarmi
The perturbed Burgers and KdV equations are considered. Often, the perturbation excites waves that are different from the solution one is seeking. In the case of the Burgers equati…
Wave interactions and the analysis of the perturbed Burgers equation
Alex Veksler, Yair Zarmi
In multiple-front solutions of the Burgers equation, all the fronts, except for two, are generated through the inelastic interaction of exponential wave solutions of the Lax pair a…
Perturbative analysis of wave interactions in nonlinear systems
Alex Veksler, Yair Zarmi
This work proposes a new way for handling obstacles to asymptotic integrability in perturbed nonlinear PDEs within the method of Normal Forms - NF - for the case of multi-wave solu…
Relativistic Harmonic Oscillator
Z. -F. Li, J. J. Liu, Wolfgang Lucha +2
We study the semirelativistic Hamiltonian operator composed of the relativistic kinetic energy and a static harmonic-oscillator potential in three spatial dimensions and construct,…