Helminck Gerard F

Publications in Math-Net.Ru

1. Darboux transformations for the discrete versions of the KP and strict KP hierarchies
   
   TMF, 221:3 (2024),  503–522
2. Cauchy problems related to integrable matrix hierarchies
   
   TMF, 216:2 (2023),  251–270
3. Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version
   
   TMF, 213:1 (2022),  41–56
4. Darboux transformations for the strict KP hierarchy
   
   TMF, 206:3 (2021),  339–360
5. Homogeneous spaces yielding solutions of the $k[S]$-hierarchy and its strict version
   
   Russian Universities Reports. Mathematics, 26:135 (2021),  315–336
6. Reductions of the strict KP hierarchy
   
   TMF, 205:2 (2020),  190–207
7. Extensions of the discrete KP hierarchy and its strict version
   
   TMF, 204:3 (2020),  367–382
8. Scaling invariance of the strict KP hierarchy
   
   Russian Universities Reports. Mathematics, 25:131 (2020),  331–340
9. Properties of the algebra psd related to integrable hierarchies
   
   Russian Universities Reports. Mathematics, 25:130 (2020),  183–195
10. A geometric construction of solutions of the strict $\mathbf h$-hierarchy
    
    TMF, 200:1 (2019),  72–95
11. Expressions in Fredholm determinants for solutions of the strict KP hierarchy
    
    TMF, 199:2 (2019),  193–209
12. Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems
    
    TMF, 198:2 (2019),  225–245
13. Geometric solutions of the strict KP hierarchy
    
    TMF, 198:1 (2019),  54–78
14. An integrable hierarchy including the AKNS hierarchy and its strict version
    
    TMF, 192:3 (2017),  444–458
15. Bilinear equations for the strict KP hierarchy
    
    TMF, 185:3 (2015),  512–526
16. Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective
    
    TMF, 174:1 (2013),  154–176
17. On deformations of linear differential systems
    
    Uspekhi Mat. Nauk, 66:1(397) (2011),  65–110
18. Moving poles of meromorphic linear systems on $\mathbb P^1(\mathbb C)$ in the complex plane
    
    TMF, 165:3 (2010),  472–487
19. The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies
    
    TMF, 165:3 (2010),  440–471
20. An analytic framework for the two-dimensional infinite Toda hierarchy associated with a commutative algebra
    
    TMF, 155:1 (2008),  177–192