scholarly journals Discrete Darboux transformation for Ablowitz–Ladik systems derived from numerical discretization of Zakharov–Shabat scattering problem

2020 ◽  
Vol 82 ◽  
pp. 105056
Author(s):  
Vishal Vaibhav
Keyword(s):  
Darboux Transformation ◽  
Scattering Problem ◽  
Numerical Discretization ◽  
Discrete Darboux Transformation

scholarly journals Darboux transformation and multi-soliton solutions of the discrete sine-Gordon equation

2020 ◽  
Vol 2020 (6) ◽  
Author(s):  
Y Hanif ◽  
U Saleem
Keyword(s):  
Darboux Transformation ◽  
Gordon Equation ◽  
Soliton Solutions ◽  
Sine Gordon Equation ◽  
Dynamical Features ◽  
Discrete Darboux Transformation ◽  
Explicit Expressions

Abstract We study the discrete Darboux transformation and construct multi-soliton solutions in terms of the ratio of determinants for the integrable discrete sine-Gordon equation. We also calculate explicit expressions of single-, double-, triple-, and quadruple-soliton solutions as well as single- and double-breather solutions of the discrete sine-Gordon equation. The dynamical features of discrete kinks and breathers are also illustrated.

Soliton solutions, conservation laws and modulation instability for the discrete coupled modified Korteweg–de Vries equations

2018 ◽  
Vol 32 (14) ◽  
pp. 1850152 ◽  
Author(s):  
Rui Guo ◽  
Jiang-Yan Song ◽  
Hong-Tao Zhang ◽  
Feng-Hua Qi
Keyword(s):  
Conservation Laws ◽  
Darboux Transformation ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Lax Pair ◽  
Discrete Soliton ◽  
Transformation Discrète ◽  
De Vries ◽  
Discrete Darboux Transformation

In this paper, the discrete coupled modified Korteweg–de Vries equations are systematically investigated. Based on the Lax pair, N-fold discrete Darboux transformation, discrete soliton solutions, conservation laws and modulation instability are analyzed and presented.

SHEDDING VORTEX IN THE NEAR WAKE OF A CYLINDER ARE ANALYZED FROM THE NUMBER OF STROUHAL CHANGING THE METHODS OF NUMERICAL DISCRETIZATION

2019 ◽  
Author(s):  
Elcilane Araújo de Freitas ◽  
Letícia Castelo Branco ◽  
Erick Oliveira do Nascimento ◽  
André Araujo ◽  
Erb Lins
Keyword(s):  
Near Wake ◽  
Numerical Discretization
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