We present N-soliton solutions for the classical (1+1)-dimensional Gross-Neveu model which satisfy non-zero boundary conditions. These solutions are obtained by direct method using some properties of the soliton matrices that appear in the framework of the Cauchy matrix approach.Comment: 13 pages, typos corrected, references adde
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We present a simple and constructive method to find $N$-soliton solutions of the equation suggested ...
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The box-ball system (BBS) is a cellular automaton that is an ultradiscrete analogue of the Korteweg-...
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We theoretically study bright and dark solitons in an experimentally relevant hybrid system characte...
In the present paper, we are concerned with the tau function and its connection with the Kadomtsev-P...
We present a simple and constructive method to find $N$-soliton solutions of the equation suggested ...
We show that a kink and a topologically trivial soliton in the Gross-Neveu model form, in the large-...
We explicitly obtain the $m$-soliton solutions of the (1+2)-dimensional matrix Davey-Stewartson equa...
An integrable model possessing inhomogeneous ground states is proposed as an effective model of nonu...
We consider the classical static soliton solutions of the Skyrme model with false vacuum potential. ...
In this paper the two dimensional abelian Higgs model is revisited. We show that in the physical sec...
We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a s...
The present paper provides the dark N-soliton solution for a multi-component modified nonlinear Schr...
"We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation f...
The box-ball system (BBS) is a cellular automaton that is an ultradiscrete analogue of the Korteweg-...
In this paper the long-time dynamics of the massive Thirring model is investigated. Firstly the nonl...
In this work, a rigorous proof of the orbital stability of the black soliton solution of the quintic...
A real scalar field coupled to a fermion via a Yukawa term can evade no-go theorems preventing solit...
We theoretically study bright and dark solitons in an experimentally relevant hybrid system characte...
In the present paper, we are concerned with the tau function and its connection with the Kadomtsev-P...
We present a simple and constructive method to find $N$-soliton solutions of the equation suggested ...
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