Structural Stability of Perturbed mKdV Solitons

Effective Dynamics of Double Solitons for Perturbed Mkdv

We show that an interacting double soliton solution to the perturbed mKdV equation (1.1). is close in H2 to a double soliton following an effective dynamics obtained as Hamilton’s equations for the restriction of the mKdV Hamiltonian to the submanifold of solitons. The interplay between algebraic aspects of complete integrability of the unperturbed equation and the analytic ideas related to sol...

Perturbed Dissipative Solitons: A Variational Approach

We adopt a variational technique to study the dynamics of perturbed dissipative solitons, whose evolution is governed by a Ginzburg–Landau equation (GLE). As a specific example of such solitons, we consider a silicon-based active waveguide in which free carriers are generated through twophoton absorption. In this case, dissipative solitons are perturbed by physical processes such as third-order...

Stability of Multihump Optical Solitons

We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be stable. By means of linear stability analysis and numerical simulations, we investigate the stability of twoand three-hump solitary waves governed by incoherent beam interaction in a saturable medium, providing a theoretical background for the stability of the experimental results reported by Mit...

Stability of photorefractive spatial solitons.

We present a theoretical analysis of the stability of photorefractive spatial solitons along with experimental results that show that the solitons are stable for small-scale perturbations but break down when the perturbations exhibit a transverse scale comparable with the soliton size (cross section).

Evolution of randomly perturbed Korteweg-de Vries solitons.