62 citations · 85 across the 5 of their papers we have counts for
5 papers
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…
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…
Overcoming Obstacles to Integrability in Perturbed Nonlinear Evolution Equations
Alex Veksler, yair zarmi
Obstacles to integrability in perturbed evolution equations are overcome by allowing higher-order terms in the expansion of the solution to depend explicitly on time and position.…
Travelling Wave Solutions of a Simple Non-Local Burgers-Like Equation
Alex Veksler, Yair Zarmi
A Lax pair consisting of the Forsyth-Hopf-Cole transformation and a linear differential (in time) - difference (in continuous space) equation generates the whole hierarchy of the B…