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1

On the interrelation between the solutions of the mKP and KP equations via the Miura transformation

Dubrovsky, V G, Konopelchenko, B G

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1991

Language:

english

File:

PDF, 311 KB

english, 1991

2

Gauss - Codazzi equations for generic surfaces: equivalence to the DS linear problem with constraint, linearizability and reductions

B. G. Konopelchenko

Year:

1997

Language:

english

File:

PDF, 94 KB

english, 1997

3

The Nizhnik-Veselov-Novikov equation: Associated boundary value problems

C. Rogers, B.G. Konopelchenko, M.P. Stallybrass, W.K. Schief

Journal:

International Journal of Non-Linear Mechanics

Year:

1996

Language:

english

File:

PDF, 694 KB

english, 1996

4

On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1982

Language:

english

File:

PDF, 414 KB

english, 1982

5

Method of recursion operator for pseudodifferential spectral problems: I. Dispersive long wave equations

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1986

Language:

english

File:

PDF, 266 KB

english, 1986

6

The KP hierarchy in Miwa coordinates

Boris Konopelchenko, Luis Martı́nez Alonso

Journal:

Physics Letters A

Year:

1999

Language:

english

File:

PDF, 80 KB

english, 1999

7

Trapezoidal discrete surfaces: geometry and integrability

B.G. Konopelchenko, W.K. Schief

Journal:

Journal of Geometry and Physics

Year:

1999

Language:

english

File:

PDF, 908 KB

english, 1999

8

General structure of nonlinear evolution equations in 1+2 dimensions integrable by the two-dimensional Gelfand-Dickey-Zakharov-Shabat spectral problem and their transformation properties

B. G. Konopelchenko

Journal:

Communications in Mathematical Physics

Year:

1983

Language:

english

File:

PDF, 935 KB

english, 1983

9

Symmetry constraints for real dispersionless Veselov-Novikov equation

L. V. Bogdanov, B. G. Konopelchenko, A. Moro

Journal:

Journal of Mathematical Sciences

Year:

2006

Language:

english

File:

PDF, 128 KB

english, 2006

10

On the general structure of nonlinear equations integrable by the general linear spectral problem

B.G. Konopelchenko, V.G. Dubrovsky

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 310 KB

english, 1983

11

Integrable systems for ∂ operators of non-zero index

Boris Konopelchenko, Luis Martínez Alonso

Journal:

Physics Letters A

Year:

1997

Language:

english

File:

PDF, 523 KB

english, 1997

12

Semiclassical(ar partial )-Method: Generating Equations for Dispersionless Integrable Hierarchies

L. V. Bogdanov, B. G. Konopelchenko, L. Martínez Alonso

Journal:

Theoretical and Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 139 KB

english, 2003

13

On symmetry of the homogeneous Schwinger-Dyson equations

B. G. Konopelchenko

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1974

Language:

english

File:

PDF, 192 KB

english, 1974

14

On the unification of classical and novel integrable surfaces. I. Differential geometry

Schief, W. K., Konopelchenko, B. G.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2003

Language:

english

File:

PDF, 2.19 MB

english, 2003

15

Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian

Konopelchenko, B. G., Ortenzi, G.

Journal:

Theoretical and Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 516 KB

english, 2013

16

Three-Dimensional Integrable Lattices in Euclidean Spaces: Conjugacy and Orthogonality

B. G. Konopelchenko and W. K. Schief

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

1998

Language:

english

File:

PDF, 623 KB

english, 1998

17

On the Unification of Classical and Novel Integrable Surfaces. I Differential Geometry

W. K. Schief and B. G. Konopelchenko

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2003

Language:

english

File:

PDF, 593 KB

english, 2003

18

Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler–Poisson–Darboux equation

Konopelchenko, B, Alonso, L Martínez, Medina, E

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2010

Language:

english

File:

PDF, 267 KB

english, 2010

19

Singular sector of the Kadomtsev–Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems

Konopelchenko, Boris G., Alonso, Luis Martı́nez, Medina, Elena

Journal:

Journal of Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 469 KB

english, 2000

20

Soliton curvatures of surfaces and spaces

Konopelchenko, B. G.

Journal:

Journal of Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 530 KB

english, 1997

21

The $\bar{\partial}$-approach to the dispersionless KP hierarchy

Konopelchenko, B, Alonso, L Martínez, Ragnisco, O

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 95 KB

english, 2001

22

The 2+1 dimensional integrable generalization of the sine-Gordon equation. II. Localized solutions

V. G. Dubrovsky, B. G. Konopelchenko

Year:

1993

Language:

english

File:

PDF, 821 KB

english, 1993

23

Hidden integrable hierarchies of AKNS type

Konopelchenko, Boris, Alonso, Luis Martínez, Medina, Elena

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1999

Language:

english

File:

PDF, 227 KB

english, 1999

24

General Nth-order differential spectral problem: General structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance

B.G Konopelchenko, V.G Dubrovsky

Journal:

Annals of Physics

Year:

1984

Language:

english

File:

PDF, 1.66 MB

english, 1984

25

Bäcklund-calogero group and general form of integrable equations for the two-dimensional Gelfand-Dikij-Zakharov-Shabat problem bilocal approach

B.G. Konopelchenko, V.G. Dubrovsky

Journal:

Physica D: Nonlinear Phenomena

Year:

1985

Language:

english

File:

PDF, 922 KB

english, 1985

26

Bäcklund transformations via gauge transformations in 2+1 dimensions

M. Boiti, B.G. Konopelchenko, F. Pempinelli

Journal:

Physica D: Nonlinear Phenomena

Year:

1987

Language:

english

File:

PDF, 56 KB

english, 1987

27

Coherent structures for the Ishimori equation: I. Localized solitons with stationary boundaries

V.G. Dubrovsky, B.G. Konopelchenko

Journal:

Physica D: Nonlinear Phenomena

Year:

1991

Language:

english

File:

PDF, 1.32 MB

english, 1991

28

Inverse spectral transform for the Harry Dym equation on the complex plane

Boris G. Konopelchenko, Jyh-Hao Lee

Journal:

Physica D: Nonlinear Phenomena

Year:

1995

Language:

english

File:

PDF, 872 KB

english, 1995

29

Integrable equations and differential geometry

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 269 KB

english, 1979

30

The group structure of Bäcklund transformations

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 313 KB

english, 1979

31

The linear spectral problem of arbitrary order: The general form of the integrable equations and their Bäcklund transformations

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1980

Language:

english

File:

PDF, 189 KB

english, 1980

32

On the structure of integrable evolution equations

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1980

Language:

english

File:

PDF, 351 KB

english, 1980

33

The two-dimensional matrix spectral problem: General structure of the integrable equations and their Bäcklund transformations

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1981

Language:

english

File:

PDF, 276 KB

english, 1981

34

Elementary Bäcklund transformations, nonlinear superposition principle and solutions of the integrable equations

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1982

Language:

english

File:

PDF, 231 KB

english, 1982

35

On the adjoint representation for spectral problems and its relation with the Akns-method, gauge transformations and Riemann problem

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 255 KB

english, 1983

36

Bilocal recursion structure of two-dimensional integrable equations

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1987

Language:

english

File:

PDF, 530 KB

english, 1987

37

On the inverse scattering transform for the Ishimori equation

B.G. Konopelchenko, B.T. Matkarimov

Journal:

Physics Letters A

Year:

1989

Language:

english

File:

PDF, 372 KB

english, 1989

38

The non-Abelian (1 + 1)-dimensional Toda lattice as the periodic fixed point of the Laplace transform for (2 + 1)-dimensional integrable systems

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 167 KB

english, 1991

39

(1+1)-dimensional integrable systems as symmetry constraints of (2+1)-dimensional systems

Boris Konopelchenko, Jurij Sidorenko, Walter Strampp

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 346 KB

english, 1991

40

On (2+1)-dimensional nonlinear systems of Loewner-type

B. Konopelchenko, C. Rogers

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 463 KB

english, 1991

41

A (2+1)-dimensional sine-Gordon system: its auto-Bäcklund transformation

B.G. Konopelchenko, W. Schief, C. Rogers

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 431 KB

english, 1992

42

Nets in R3, their integrable evolutions and the DS hierarchy

B.G. Konopelchenko

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 494 KB

english, 1993

43

Nonlinear Beltrami equation and τ-function for dispersionless hierarchies

L.V Bogdanov, B.G Konopelchenko

Journal:

Physics Letters A

Year:

2004

Language:

english

File:

PDF, 186 KB

english, 2004

44

Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type

L.V. Bogdanov, B.G. Konopelchenko

Journal:

Physics Letters A

Year:

2004

Language:

english

File:

PDF, 181 KB

english, 2004

45

On the -dressing method applicable to heavenly equation

L.V. Bogdanov, B.G. Konopelchenko

Journal:

Physics Letters A

Year:

2005

Language:

english

File:

PDF, 135 KB

english, 2005

46

On the singular sector of the Hermitian random matrix model in the large N limit

B. Konopelchenko, L. Martínez Alonso, E. Medina

Journal:

Physics Letters A

Year:

2011

Language:

english

File:

PDF, 183 KB

english, 2011

47

Surfaces of revolution via the Schrödinger equation: Construction, integrable dynamics and visualization

R. Beutler, B.G. Konopelchenko

Journal:

Applied Mathematics and Computation

Year:

1999

Language:

english

File:

PDF, 1.35 MB

english, 1999

48

Generalized KP hierarchy: Möbius symmetry, symmetry constraints and Calogero–Moser system

L.V. Bogdanov, B.G. Konopelchenko

Journal:

Physica D: Nonlinear Phenomena

Year:

2001

Language:

english

File:

PDF, 97 KB

english, 2001

49

Hamiltonian structure of the general integrable equations under reductions

B.G. Konopelchenko

Journal:

Physica D: Nonlinear Phenomena

Year:

1985

Language:

english

File:

PDF, 1.19 MB

english, 1985

50

Quantum effects for extrinsic geometry of strings via the generalized Weierstrass representation

B.G. Konopelchenko, G. Landolfi

Journal:

Physics Letters B

Year:

1998

Language:

english

File:

PDF, 87 KB

english, 1998