We demonstrate a simple and low cost mode-locked erbium-doped fiber laser (EDFL) operating in the nanosecond region using a single-walled carbon nanotube (SWCNT)-based saturable absorber (SA). A droplet of SWCNT solution is applied on the end of a fiber ferrule, which is then mated to another clean connector ferrule to construct an SA. Then the SA is integrated into a ring EDFL cavity for nanos...

We consider a supersymmetric Bogomolny-type model in 2+1 dimensions originating from twistor string theory. By a gauge fixing this model is reduced to a modified U(n) chiral model with 2N≤ 8 supersymmetries in 2+1 dimensions. After a Moyal-type deformation of the model, we employ the dressing method to explicitly construct multi-soliton configurations on noncommutative R and analyze some of the...

Algebro-geometric solution is a kind of very important solution in the integrable system. The soliton solution, breather solution and rogue wave solution can be obtained from the algebrogeometric solution through special limit. Therefore, we agree that almost all the “new soliton solutions” of the vector NLS equation are contained in the general formula in [1] as particular cases. However, it i...

In recent years there have been new insights into the integrability of quadrilateral lattice equations, i.e. partial difference equations which are the natural discrete analogues of integrable partial differential equations in 1+1 dimensions. In the scalar (i.e. single-field) case there now exist classification results by Adler, Bobenko and Suris (ABS) leading to some new examples in addition t...

1 University of Mumbai, S H Kelkar College of Arts, Commerce and Science, Devgad, (M.S.), India 2 Dunărea de Jos” University of Galati, Physics Department, Galati, 800008, Romania 3 Ain Shams University, Girls’ College, Department of Mathematics, Cairo 11757, Egypt 4 Delaware State University, Department of Physics and Engineering, Dover, DE 19901-2277, USA 5 Delaware State University, Departme...

A new type of multi-soliton solution to the ultradiscrete Toda equation is proposed. The solution can be transformed into another expression of solution in a perturbation form. A direct proof of the solution is also given.

The Zakharov equations are one of the important mathematical models in plasma physics. The solitary wave ansatz method is applied to obtain the exact solution. We use a finite difference scheme which is fourth order in space and second order in time to get a numerical solution. We show that the scheme is unconditionally stable. Numerical tests for single and interaction of two solitary waves ar...

We present a general scheme for constructing robust excitations (soliton-like) in non-integrable multicomponent systems. By robust, we mean localised that propagate with almost constant velocity and which interact cleanly little to no radiation. achieve this via reduction of these complex systems more familiar effective chiral field-theories using perturbation techniques the Fredholm alternativ...

Sine-Gordon (SG) models with variable mass or perturbed soliton appear in many physical situations, which however breaks the integrability of the model. A class of such inhomogeneous models with accelerating and shape changing solitons is constructed, which are integrable both at the classical and the quantum level with exact solutions. PACS: 05.45.Yv,03.65.Fd,11.10.Lm,11.55.Ds Among the exclus...

In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of isometries are considered in the context of the so called ”monodromy transform approach”, which provides some general base for the study of various integrable space time symmetry reductions of Einstein equations. Similar...