A Method of Constructing Generalized Soliton Solutions for Certain Bilinear Soliton Equations

1979 ◽  
Vol 47 (4) ◽  
pp. 1341-1346 ◽  
Author(s):  
Shin'ichi Oishi
Keyword(s):  
Soliton Solutions ◽  
Soliton Equations

Dynamical structures of multi-soliton solutions to the Bogoyavlenskii’s breaking soliton equations

2020 ◽  
Vol 135 (3) ◽  
Author(s):  
Mohammad Safi Ullah ◽  
Harun-Or Roshid ◽  
M. Zulfikar Ali ◽  
Zillur Rahman
Keyword(s):  
Soliton Solutions ◽  
Soliton Equations

Darboux Transformation for Coupled Non-Linear Schrödinger Equation and Its Breather Solutions

2017 ◽  
Vol 72 (1) ◽  
pp. 9-15 ◽  
Author(s):  
Lili Feng ◽  
Fajun Yu ◽  
Li Li
Keyword(s):  
Schrödinger Equation ◽  
Spectral Problem ◽  
Darboux Transformation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Soliton Equations ◽  
Spectral Problems ◽  
Non Linear ◽  
And Mathematics

AbstractStarting from a 3×3 spectral problem, a Darboux transformation (DT) method for coupled Schrödinger (CNLS) equation is constructed, which is more complex than 2×2 spectral problems. A scheme of soliton solutions of an integrable CNLS system is realised by using DT. Then, we obtain the breather solutions for the integrable CNLS system. The method is also appropriate for more non-linear soliton equations in physics and mathematics.

New Multi-Soliton Solutions of the (2+1)-Dimensional Breaking Soliton Equations

2003 ◽  
Vol 17 (22n24) ◽  
pp. 4376-4381 ◽  
Author(s):  
Jie-Fang Zhang ◽  
Chun-Long Heng
Keyword(s):  
Bäcklund Transformation ◽  
Direct Method ◽  
Soliton Solutions ◽  
Variable Separation ◽  
Backlund Transformation ◽  
Soliton Equations ◽  
Simplified Form

A simple and direct method is used to solve the (2+1)-dimensional breaking soliton equations: qt=iqxy-2iq∫(qr)ydx, rt=-irxy+2ir∫(qr)ydx. This technique yields a simplified form of the (2+1)-dimensional breaking soliton equations by use of a special Bäcklund transformation and a variable separation solution of this model is derived. Some special types of multi-soliton structure are constructed by selecting the arbitrary functions and arbitrary constants appropriately.

THE GENERALIZED MULTI-COMPONENT AKNS HIERARCHY AND N-FOLD DARBOUX TRANSFORMATION

2006 ◽  
Vol 20 (25) ◽  
pp. 1575-1589 ◽  
Author(s):  
HONG-XIANG YANG ◽  
DAO-LIN WANG ◽  
CHANG-SHENG LI
Keyword(s):  
Spectral Problem ◽  
Darboux Transformation ◽  
Soliton Solutions ◽  
Soliton Equation ◽  
Lax Pairs ◽  
Akns Hierarchy ◽  
Soliton Equations ◽  
Gauge Transformations ◽  
Set Up ◽  
Liouville Integrable

Starting from a 3×3 spectral problem, by using the Tu scheme, a hierarchy of generalized multi-component AKNS soliton equations are derived. It is shown that each equation in the resulting hierarchy is Liouville integrable. With the help of gauge transformations of the Lax pairs, an N-fold Darboux transformation (DT) with multi-parameters for the spectral problem is set up. For application, the soliton solutions of the first nonlinear soliton equation are explicitly given.

scholarly journals Studying the baryon properties through chiral soliton model at finite temperature and density

2014 ◽  
Vol 29 ◽  
pp. 1460213 ◽  
Author(s):  
Song Shu ◽  
Jia-Rong Li
Keyword(s):  
Physical Properties ◽  
Finite Temperature ◽  
Soliton Solutions ◽  
Thermal Vacuum ◽  
Soliton Model ◽  
Density Dependent ◽  
Soliton Equations ◽  
Chiral Soliton ◽  
Chiral Soliton Model

We have studied the chiral soliton model in a thermal vacuum. The soliton equations are solved at finite temperature and density. The temperature or density dependent soliton solutions are presented. The physical properties of baryons are derived from the soliton solutions at finite temperature and density. The temperature or density dependent variation of the baryon properties are discussed.

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