Cauchy matrix approach to integrable equations with self-consistent sources and the Yajima–Oikawa system

2020 ◽  
Vol 103 ◽  
pp. 106165
Author(s):  
Hong-juan Tian ◽  
Da-jun Zhang
Keyword(s):  
Matrix Approach ◽  
Cauchy Matrix ◽  
Integrable Equations ◽  
Self Consistent

scholarly journals Self-consistent T-matrix approach to Bose-glass in one dimension

2016 ◽  
Vol 397 ◽  
pp. 11-19
Author(s):  
A.G. Yashenkin ◽  
O.I. Utesov ◽  
A.V. Sizanov ◽  
A.V. Syromyatnikov
Keyword(s):  
One Dimension ◽  
Matrix Approach ◽  
Self Consistent ◽  
Bose Glass ◽  
T Matrix

scholarly journals EXACT SOLUTIONS TO LATTICE BOUSSINESQ-TYPE EQUATIONS

2012 ◽  
Vol 19 (04) ◽  
pp. 1250031 ◽  
Author(s):  
WEI FENG ◽  
SONG-LIN ZHAO ◽  
DA-JUN ZHANG
Keyword(s):  
Plane Wave ◽  
Exact Solutions ◽  
General Condition ◽  
Soliton Solutions ◽  
Matrix Approach ◽  
Cauchy Matrix ◽  
Mixed Solutions ◽  
All Solutions ◽  
Condition Equation

In this paper several kinds of exact solutions to lattice Boussinesq-type equations are constructed by means of generalized Cauchy matrix approach, including soliton solutions and mixed solutions. The introduction of the general condition equation set yields that all solutions contain two kinds of plane-wave factors.

$\bar{\partial }$-problem and Cauchy matrix for the mKdV equation with self-consistent sources

2014 ◽  
Vol 89 (6) ◽  
pp. 065201 ◽  
Author(s):  
Junyi Zhu ◽  
Dewen Zhou ◽  
Xianguo Geng
Keyword(s):  
Mkdv Equation ◽  
Cauchy Matrix ◽  
Self Consistent

Generalized Cauchy matrix approach for lattice Boussinesq-type equations

2012 ◽  
Vol 33 (2) ◽  
pp. 259-270 ◽  
Author(s):  
Songlin Zhao ◽  
Dajun Zhang ◽  
Ying Shi
Keyword(s):  
Matrix Approach ◽  
Cauchy Matrix

scholarly journals A density matrix approach to the convergence of the self-consistent field iteration

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Parikshit Upadhyaya ◽  
◽  
Elias Jarlebring ◽  
Emanuel H. Rubensson ◽  
Keyword(s):  
Density Matrix ◽  
The Self ◽  
Matrix Approach ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field

A Discrete Negative Order Potential Korteweg–de Vries Equation

2016 ◽  
Vol 71 (12) ◽  
pp. 1151-1158 ◽  
Author(s):  
Song-lin Zhao ◽  
Ying-ying Sun
Keyword(s):  
Exact Solutions ◽  
Vries Equation ◽  
Matrix Approach ◽  
Cauchy Matrix ◽  
Negative Order ◽  
De Vries ◽  
Continuous Equation ◽  
Multisoliton Solutions ◽  
The Continuum

AbstractWe investigate a discrete negative order potential Korteweg–de Vries (npKdV) equation via the generalised Cauchy matrix approach. Solutions more than multisoliton solutions of this equation are derived by solving the determining equation set. We also show the semidiscrete equation and continuous equation together with their exact solutions by considering the continuum limits.

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