scholarly journals The Fokas–Lenells equations: Bilinear approach

2021 ◽  
Author(s):  
Shu‐zhi Liu ◽  
Jing Wang ◽  
Da‐jun Zhang
Keyword(s):  
Bilinear Approach

A bilinear approach to integrable lattices and their similarity reductions

1993 ◽  
Vol 174 (5-6) ◽  
pp. 387-396 ◽  
Author(s):  
J. Satsuma ◽  
A. Ramani ◽  
B. Grammaticos
Keyword(s):  
Similarity Reductions ◽  
Bilinear Approach

Bilinear approach to supersymmetric AKNS system; multiple dressing of fermionic amplitudes

2020 ◽  
Vol 35 (17) ◽  
pp. 2050143 ◽  
Author(s):  
Corina N. Babalic ◽  
A. S. Carstea
Keyword(s):  
Bilinear Form ◽  
Tau Function ◽  
Bilinear Formalism ◽  
Akns System ◽  
Bilinear Approach

In this paper, we investigate the super-bilinear formalism and interaction of supersoliton solutions for the supersymmetric AKNS system [H. Aratyn and A. Das, Mod. Phys. Lett. A 13, 1185 (1998)]. It is shown that the super-bilinear form involves an auxiliary fermionic tau function and the supersolitons have less freedom than expected (concerning the dependence on fermionic parameters). Also, the interaction between super-solitons is much more complicated than in the case of real supersymmetric equations (KdV, mKdV, Sawada–Kotera, Sine–Gordon, etc.), involving four types of dressing of the fermionic parameters. These solutions are general compared to the ones found in Ref. 1 which contain no fermionic parameter.

scholarly journals A bilinear approach to the restriction and Kakeya conjectures

1998 ◽  
Vol 11 (4) ◽  
pp. 967-1000 ◽  
Author(s):  
Terence Tao ◽  
Ana Vargas ◽  
Luis Vega
Keyword(s):  
Bilinear Approach

Solving the KdV Equation Under Bargmann Constraint via Bilinear Approach

2010 ◽  
Vol 53 (2) ◽  
pp. 211-217 ◽  
Author(s):  
Zhang Jian-Bing ◽  
Zhang Da-Jun ◽  
Chen Deng-Yuan
Keyword(s):  
Kdv Equation ◽  
The Kdv Equation ◽  
Bilinear Approach

scholarly journals From discrete to continuous Painlevé equations: A bilinear approach

1996 ◽  
Vol 216 (6) ◽  
pp. 255-261 ◽  
Author(s):  
Y Ohta ◽  
A Ramani ◽  
B Grammaticos ◽  
K.M Tamizhmani
Keyword(s):  
Painlevé Equations ◽  
Painleve Equations ◽  
Bilinear Approach
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