In this paper we exploit the algebraic structure of the soliton equations and find solutions in terms of fermion particles. We show how determinants arise naturally in the fermionic approach to soliton equations. We write the ?-function for charged free fermions in terms of determinants. Examples of how to get soliton, rational and dromion solutions from ?-functions for the various soliton equations are given. © 2011 Elsevier Inc
We degenerate the finite gap solutions of the KdV equation from the general formulation in terms of ...
Fermion number fractionization in quantum field theory on a finite interval is studied for a (1 + 1)...
A supersymmetric interacting soliton-fermion system in one space and one time dimension is investiga...
In this paper we exploit the algebraic structure of the soliton equations and find solutions in term...
AbstractIn this paper we exploit the algebraic structure of the soliton equations and find solutions...
AbstractIn this paper we exploit the algebraic structure of the soliton equations and find solutions...
The solutions to many soliton systems have been found or reexpressed in terms of Wronskian or Grammi...
We consider different methods of calculating the (fractional) fermion number of solitons based on th...
This thesis is concerned with solutions to nonlinear evolution equations. In particular we examine ...
We reconsider the Fermi-Pasta-Ulam problem from the point of view of soliton theory along the lines ...
We examine models of Dirac fermions coupled to topological solitons on the circle S1 and the sphere ...
In the Thomas-Fermi approximation to theories of coupled fermions and scalars, the equations for sph...
When a soliton (such as a kink or vortex) in a condensed fermionic system moves, it produces particl...
In this paper we consider an ultra-cold mixture of boson and fermion atoms on the basis of...
We show that for a fermion in a bounded background potential in a finite box, eigenvalues of the tot...
We degenerate the finite gap solutions of the KdV equation from the general formulation in terms of ...
Fermion number fractionization in quantum field theory on a finite interval is studied for a (1 + 1)...
A supersymmetric interacting soliton-fermion system in one space and one time dimension is investiga...
In this paper we exploit the algebraic structure of the soliton equations and find solutions in term...
AbstractIn this paper we exploit the algebraic structure of the soliton equations and find solutions...
AbstractIn this paper we exploit the algebraic structure of the soliton equations and find solutions...
The solutions to many soliton systems have been found or reexpressed in terms of Wronskian or Grammi...
We consider different methods of calculating the (fractional) fermion number of solitons based on th...
This thesis is concerned with solutions to nonlinear evolution equations. In particular we examine ...
We reconsider the Fermi-Pasta-Ulam problem from the point of view of soliton theory along the lines ...
We examine models of Dirac fermions coupled to topological solitons on the circle S1 and the sphere ...
In the Thomas-Fermi approximation to theories of coupled fermions and scalars, the equations for sph...
When a soliton (such as a kink or vortex) in a condensed fermionic system moves, it produces particl...
In this paper we consider an ultra-cold mixture of boson and fermion atoms on the basis of...
We show that for a fermion in a bounded background potential in a finite box, eigenvalues of the tot...
We degenerate the finite gap solutions of the KdV equation from the general formulation in terms of ...
Fermion number fractionization in quantum field theory on a finite interval is studied for a (1 + 1)...
A supersymmetric interacting soliton-fermion system in one space and one time dimension is investiga...
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