Results 71 to 80 of about 1,165,137 (176)

Fermionic approach to soliton equations [PDF]

, 2011
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.
Metin Ünal, Ünal, Metin
core   +1 more source

Dispersive Properties of Schrödinger Equations [PDF]

, 2005
This thesis mainly concerns the dispersive properties of Schrodinger equations with certain potentials, and some of their consequences. First, we consider the charge transfer models in Rn with n > 2. In this case, the potential is a sum of several
Cai, Kaihua
core   +1 more source

Soliton-like behaviour in non-integrable systems

, 2021
We present a general scheme for constructing robust excitations (soliton-like) in non-integrable multicomponent systems. By robust, we mean localised excitations that propagate with almost constant velocity and which interact cleanly with little to no ...
Urbashi Satpathi (14381664), Manas Kulkarni (14381670), Vishal Vasan (14381667), Raghavendra Nimiwal (14381661)   +3 more
core   +1 more source

A (2 + 1)-Dimensional Integrable Breaking Soliton Equation and Its Algebro-Geometric Solutions

Mathematics
A new (2 + 1)-dimensional breaking soliton equation with the help of the nonisospectral Lax pair is presented. It is shown that the compatible solutions of the first two nontrivial equations in the (1 + 1)-dimensional Kaup–Newell soliton hierarchy ...
Xiaohong Chen, Tiecheng Xia, Liancheng Zhu   +2 more
doaj   +1 more source

Solitons on lattices and curved space-time [PDF]

, 2001
This thesis is concerned with solitons (solutions of certain nonlinear partial differential equations) in certain cases when the underlying space is either a lattice or curved. Chapter 2 of the thesis is concerned with the outcome of collisions between a
Kotecha, Vinay, Kotecha, V.
core  

The simplified Hirota’s method for studying three extended higher-order KdV-type equations

Journal of Ocean Engineering and Science, 2016
In this work we study three extended higher-order KdV-type equations. The Lax-type equation, the Sawada–Kotera-type equation and the CDG-type equation are derived from the extended KdV equation.
Abdul-Majid Wazwaz
doaj   +1 more source

Yang-Baxter maps and the discrete KP hierarchy [PDF]

, 2009
We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with ...
Kakei, S., Willox, R., Nimmo, J.J.C.
core   +1 more source

Geometrical representation and Hirota direct approach for multiple soliton solutions of nonlinear M-coupled fractional equations

Mathematical and Computer Modelling of Dynamical Systems
This paper introduces a novel analytical framework for deriving multiple soliton and singular soliton solutions to M-coupled fractional evolution equations.
Abaker A. Hassaballa, Mehmet Yavuz, Emad A.-B. Abdel-Salam, Gassan A.M.O. Farah, Ibtisam Daqqa   +4 more
doaj   +1 more source

The String Equation and Solitons [PDF]

, 1996
9 pages, Based on lectures delivered at the Erice Chalonge School, `String Gravity and Physics at the Planck Scale', 8-19 September ...
openaire   +2 more sources

Optical Solitons for the Concatenation Model with Differential Group Delay by Lie Symmetry and Kumar Malik Approach

East European Journal of Physics
This work examines a generalized concatenation model for birefringent optical fibers and obtains new exact soliton solutions. Using Lie symmetry analysis, the coupled evolution equations are transformed through suitable similarity variables into a ...
Rajveer Singhay, Sachin Kumar, Mohamed E. M. Alngar, Reham M. A. Shohib, Lina S. Calucag, Anjan Biswas   +5 more
doaj   +1 more source