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1

Inverse scattering transform for the KPI equation on the background of a one-line soliton*

Fokas, A S, Pogrebkov, A K

Journal:

Year:

2003

Language:

english

File:

PDF, 3.50 MB

english, 2003

2

Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation

V.A. Arkadiev, A.K. Pogrebkov, M.C. Polivanov

Journal:

Physica D: Nonlinear Phenomena

Year:

1989

Language:

english

File:

PDF, 555 KB

english, 1989

3

Properties of solutions of the Kadomtsev–Petviashvili I equation

Boiti, M., Pempinelli, F., Pogrebkov, A.

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 2.21 MB

english, 1994

4

The KPI equation with unconstrained initial data

M. Boiti, F. Pempinelli, A. Pogrebkov

Journal:

Acta Applicandae Mathematicae

Year:

1995

Language:

english

File:

PDF, 740 KB

english, 1995

5

Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential

M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari

Journal:

Theoretical and Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 229 KB

english, 2005

6

“Thirring x Liouville” model

A. K. Pogrebkov, S. V. Talalov

Journal:

Theoretical and Mathematical Physics

Year:

1987

Language:

english

File:

PDF, 546 KB

english, 1987

7

Dressing of a two-dimensional nontrivial potential

M. Boiti, F. Pempinelli, A. Pogrebkov

Journal:

Physica D: Nonlinear Phenomena

Year:

1995

Language:

english

File:

PDF, 211 KB

english, 1995

8

Nonlinear equations for fields radiated by particles

A. K. Pogrebkov

Journal:

Letters in Mathematical Physics

Year:

1982

Language:

english

File:

PDF, 273 KB

english, 1982

9

Singular solitons: An example of a Sinh-Gordon equation

A. K. Pogrebkov

Journal:

Letters in Mathematical Physics

Year:

1981

Language:

english

File:

PDF, 299 KB

english, 1981

10

Singular solutions of the KdV equation and the inverse scattering method

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov

Journal:

Journal of Mathematical Sciences

Year:

1985

Language:

english

File:

PDF, 857 KB

english, 1985

11

Towards an inverse scattering theory for two-dimensional nondecaying potentials

M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari

Journal:

Theoretical and Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 2.27 MB

english, 1998

12

An Ablowitz-Ladik system with a discrete potential: I. Extended resolvent

A. K. Pogrebkov, M. C. Prati

Journal:

Theoretical and Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 558 KB

english, 1999

13

Commutator identities on associative algebras and the integrability of nonlinear evolution equations

A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 428 KB

english, 2008

14

Nonlinear physics: Theory and experiment V

M. Boiti, F. Pempinelli, B. Prinari, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 140 KB

english, 2009

15

Building an extended resolvent of the heat operator via twisting transformations

M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari

Journal:

Theoretical and Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 494 KB

english, 2009

16

The equivalence of different approaches for generating multisoliton solutions of the KPII equation

M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari

Journal:

Theoretical and Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 544 KB

english, 2010

17

Nonlinear physics: Theory and experiment VI

M. Boiti, F. Pempinelli, G. Landolfi, B. Konopelchenko, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 203 KB

english, 2011

18

Properties of the solitonic potentials of the heat operator

M. Boiti, F. Pempinelli, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 455 KB

english, 2011

19

Inverse scattering transform for the perturbed 1-soliton potential of the heat equation

M. Boiti, F. Pempinelli, A.K. Pogrebkov, B. Prinari

Journal:

Physics Letters A

Year:

2001

Language:

english

File:

PDF, 64 KB

english, 2001

20

Quantizing the KdV Equation

A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 147 KB

english, 2001

21

Some new methods and results in the theory of (2+1)-dimensional integrable equations

M. Boiti, F. Pempinelli, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 863 KB

english, 1994

22

Inverse scattering transform for the Hamiltonian version of the Davey-Stewartson I equation

T. I. Garagash, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 327 KB

english, 1994

23

Application of inverse scattering method to singular solutions of nonlinear equations. I

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov

Journal:

Theoretical and Mathematical Physics

Year:

1982

Language:

english

File:

PDF, 923 KB

english, 1982

24

Application of inverse scattering method to singular solutions of nonlinear equations. II

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov

Journal:

Theoretical and Mathematical Physics

Year:

1983

Language:

english

File:

PDF, 769 KB

english, 1983

25

Expansions with respect to squares, symplectic and poisson structures associated with the Sturm-Liouville problem. II

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov

Journal:

Theoretical and Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 1017 KB

english, 1988

26

Expansions with respect to squares, symplectic and poisson structures associated with the Sturm-Liouville problem. I

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov

Journal:

Theoretical and Mathematical Physics

Year:

1987

Language:

english

File:

PDF, 887 KB

english, 1987

27

Singular solutions of the equation □φ+(m2/2)exp φ=0 and dynamics of singularities

G. P. Dzhordzhadze, A. K. Pogrebkov, M. K. Polivanov

Journal:

Theoretical and Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 885 KB

english, 1979

28

Complete integrability of dynamical systems generated by singular solutions of liouville's equation

A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

1980

Language:

english

File:

PDF, 546 KB

english, 1980

29

Quantization of the (sinψ)2interaction in terms of fermion variables

A. K. Pogrebkov, V. N. Sushko

Journal:

Theoretical and Mathematical Physics

Year:

1975

Language:

english

File:

PDF, 230 KB

english, 1975

30

Quantum solitons and their connection with fermion fields for the (sinϕ)2

A. K. Pogrebkov, V. N. Sushko

Journal:

Theoretical and Mathematical Physics

Year:

1976

Language:

english

File:

PDF, 252 KB

english, 1976

31

Thirring model. Asymptotic fields and S matrix

A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

1973

Language:

english

File:

PDF, 458 KB

english, 1973

32

Two-dimensional classically solvable model with nontrivial scattering

A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

1972

Language:

english

File:

PDF, 208 KB

english, 1972

33

Hamiltonian theory of the interaction of a massive vector field with a massless fermion field in two-dimensional spacetime: The (ΨγμΨBμ)2interaction

A. K. Pogrebkov, V. N. Sushko

Journal:

Theoretical and Mathematical Physics

Year:

1975

Language:

english

File:

PDF, 1.24 MB

english, 1975

34

Scattering problem for the differential operator ∂x∂y+1+a(x,y)∂y+a(x,y)

T. I. Garagash, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 975 KB

english, 1995

35

Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation

M. Boiti, F. Pempinelli, A. K. Pogrebkov, M. C. Polivanov

Journal:

Theoretical and Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 1.45 MB

english, 1992

36

Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation

T. I. Garagash, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 680 KB

english, 1996

37

On bosonization of free massless fermions

A. K. Pogrebkov, M. C. Prati

Journal:

Il Nuovo Cimento A (1971-1996)

Year:

1996

Language:

english

File:

PDF, 365 KB

english, 1996

38

Resolvent approach to the ablowitz-ladik linear system

A. K. Pogrebkov, M. C. Prati

Journal:

Il Nuovo Cimento B (1971-1996)

Year:

1996

Language:

english

File:

PDF, 447 KB

english, 1996

39

On bosonization of free massless fermions

A. K. Pogrebkov, M. C. Prati

Journal:

Il Nuovo Cimento A (1971-1996)

Year:

1994

Language:

english

File:

PDF, 413 KB

english, 1994

40

String solutions in three-dimensional field models

Journal:

Physics Letters B

Year:

1987

Language:

english

File:

PDF, 283 KB

english, 1987

41

Extended resolvent of the heat operator with a multisoliton potential

M. Boiti, F. Pempinelli, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 508 KB

english, 2012

42

Solitons in 1+1 and 2+1 dimensions

M. Beccaria, B. G. Konopelchenko, G. Landolfi, L. Martina, A. K. Pogrebkov

Journal:

Theoretical and Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 119 KB

english, 2012

43

Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions

Boiti, M., Pempinelli, F., Pogrebkov, A. K.

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 634 KB

english, 2011

44

Resolvent approach for the nonstationary Schrodinger equation

Boiti, M, Pempinelli, F, Pogrebkov, A K, Polivanov, M C

Journal:

Inverse Problems

Year:

1992

Language:

english

File:

PDF, 1008 KB

english, 1992

45

[IEEE International Seminar. Day on Diffraction. Proceedings - Saint Petersburg, Russia (1999.6.1-1999.6.3)] International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367) - N-wave soliton solution on a generic background for KPI equation

Boiti, M., Pempinelli, F., Prinari, B., Pogrebkov, A.K.

Year:

1999

Language:

english

File:

PDF, 293 KB

english, 1999

46

Extended resolvent and inverse scattering with an application to KPI

Boiti, M., Pempinelli, F., Pogrebkov, A. K., Prinari, B.

Journal:

Journal of Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 521 KB

english, 2003

47

Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed N-soliton potential

Boiti, M., Pempinelli, F., Pogrebkov, A. K.

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 689 KB

english, 2006

48

Inverse scattering theory of the heat equation for a perturbed one-soliton potential

Boiti, M., Pempinelli, F., Pogrebkov, A. K., Prinari, B.

Journal:

Journal of Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 397 KB

english, 2002

49

New features of Backlund and Darboux transformations in 2 + 1 dimensions

Boiti, M, Pempinelli, F, Pogrebkov, A K, Polivanov, M C

Journal:

Inverse Problems

Year:

1991

Language:

english

File:

PDF, 497 KB

english, 1991

50

On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential

Boiti, M, Pempinelli, F, Pogrebkov, A K

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2006

Language:

english

File:

PDF, 352 KB

english, 2006

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