Meromorphic forms solutions of completely integrable Pfaffian systems with regular singularities

1980 ◽  
pp. 99-117
Author(s):  
Raymond Gerard
Keyword(s):  
Pfaffian Systems ◽  
Completely Integrable

Controllability of Completely Integrable Linear Nonstationary Pfaffian Systems

2020 ◽  
Vol 56 (8) ◽  
pp. 1108-1112
Author(s):  
O. V. Khramtsov ◽  
S. A. Prokhozhii
Keyword(s):  
Pfaffian Systems ◽  
Completely Integrable

scholarly journals Formal solutions of completely integrable Pfaffian systems with normal crossings

2017 ◽  
Vol 81 ◽  
pp. 41-68
Author(s):  
Moulay A. Barkatou ◽  
Maximilian Jaroschek ◽  
Suzy S. Maddah
Keyword(s):  
Pfaffian Systems ◽  
Completely Integrable ◽  
Formal Solutions

scholarly journals Transverse Hilbert schemes and completely integrable systems

2017 ◽  
Vol 4 (1) ◽  
pp. 263-272 ◽  
Author(s):  
Niccolò Lora Lamia Donin
Keyword(s):  
Integrable Systems ◽  
Hilbert Scheme ◽  
Symplectic Form ◽  
Initial Surface ◽  
Hilbert Schemes ◽  
Completely Integrable Systems ◽  
Completely Integrable ◽  
Symplectic Surface ◽  
Complex Symplectic ◽  
Minimum Polynomial

Abstract In this paper we consider a special class of completely integrable systems that arise as transverse Hilbert schemes of d points of a complex symplectic surface S projecting onto ℂ via a surjective map p which is a submersion outside a discrete subset of S. We explicitly endow the transverse Hilbert scheme Sp[d] with a symplectic form and an endomorphism A of its tangent space with 2-dimensional eigenspaces and such that its characteristic polynomial is the square of its minimum polynomial and show it has the maximal number of commuting Hamiltonians.We then provide the inverse construction, starting from a 2ddimensional holomorphic integrable system W which has an endomorphism A: TW → TW satisfying the above properties and recover our initial surface S with W ≌ Sp[d].

A new completely integrable bi-plane 2D vertex model

1993 ◽  
Vol 174 (5-6) ◽  
pp. 407-410 ◽  
Author(s):  
A.E. Borovick ◽  
S.I. Kulinich ◽  
V.Yu. Popkov ◽  
Yu.M. Strzhemechny
Keyword(s):  
Vertex Model ◽  
Completely Integrable

Two integrable extensions of the Kadomtsev-Petviashvili equation

Open Physics ◽  
2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Abdul-Majid Wazwaz
Keyword(s):  
Soliton Solutions ◽  
Kp Equation ◽  
Completely Integrable ◽  
Multiple Soliton Solutions ◽  
Petviashvili Equation ◽  
Singular Soliton ◽  
Multiple Singular Soliton Solutions

AbstractIn this work, two new completely integrable extensions of the Kadomtsev-Petviashvili (eKP) equation are developed. Multiple soliton solutions and multiple singular soliton solutions are derived to demonstrate the compatibility of the extensions of the KP equation.

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