Zobrazeno 1 - 10
of 23
pro vyhledávání: '"E. Sh. Gutshabash"'
Autor:
P. P. Kulish, E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 238:854-861
We present the Lagrangian and Hamiltonian of the Born–Infeld model in Cartesian and light cone variables. Using the auto-Backlund transformation, we construct new solutions of the corresponding nonlinear equation. In particular, a “dressed” Bar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::231484b514355dd647f5285bbc3c1ff2
https://doi.org/10.1007/s10958-019-04280-3
https://doi.org/10.1007/s10958-019-04280-3
Autor:
E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 192:57-69
We propose a general scheme of application of the Moutard transformation to second-order partial differential equations with two independent variables. A realization of this scheme is given for the nonstationary Schrodinger equation and Fokker–Plan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7977b3705a3866ffe6bf14ffe6cafe5
https://doi.org/10.1007/s10958-013-1373-y
https://doi.org/10.1007/s10958-013-1373-y
Autor:
E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 168:829-836
Various representations of the equation of minimal surface in $$ {\mathbb{R}^3} $$ are considered. Properties of exact solutions are studied, and a procedure of construction the corresponding conservation laws is suggested. Links between the solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6408a0d2209177cf158989abd13dcf02
https://doi.org/10.1007/s10958-010-0031-x
https://doi.org/10.1007/s10958-010-0031-x
Autor:
P. P. Kulish, E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 158:845-852
The matrix Darboux transformation is applied to an auxiliary problem of the classical Wess–Zumino–Novikov–Witten model. One- and two-soliton solutions are written explicitly, and a matrix expression for the N-soliton solution is given. Discrete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52bb56f432251559d02d4bf9cc28cf65
https://doi.org/10.1007/s10958-009-9420-4
https://doi.org/10.1007/s10958-009-9420-4
Autor:
E. Sh. Gutshabash
Publikováno v:
JETP Letters. 89:1-5
Exact solutions for the classical Wess-Zumino-Novikov-Witten model are constructed by the matrix Darboux transformation method. The behavior of one- and two-soliton solutions is analyzed. The formula for an N-soliton solution is given. The correspond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66b53a66eade4a089a06f51fef482920
https://doi.org/10.1134/s0021364009010019
https://doi.org/10.1134/s0021364009010019
Autor:
E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 151:2865-2879
Three integrable models - the deformed Heisenberg, Landau - Lifschits and Ishimori magnets are written in terms of the stereographic projection. The Hamiltonians of these models are obtained and certain questions related to the existence of exact sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c46a0444622e04a39beec57aaf844c2
https://doi.org/10.1007/s10958-008-9003-9
https://doi.org/10.1007/s10958-008-9003-9
Autor:
E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 143:2765-2772
The detailed analysis of model of the hydrodynamical vortice on a plane is executed. The derivation of the corresponding equation and its simplified variant is given, a partial solutions are constructed. The question on application of Darboux transfo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb5ca29796ba5ba535225509a784cae2
https://doi.org/10.1007/s10958-007-0163-9
https://doi.org/10.1007/s10958-007-0163-9
Autor:
E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 136:3580-3585
The Lax representation for the nonstationary Schrodinger equation with a rather arbitrary potential is proposed. Some examples of construction of exact solutions are given by means of the Darboux transformation method. Bibliography: 11 titles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17b76f0ad40d5c54d3b2f07445b8e81d
https://doi.org/10.1007/s10958-006-0183-x
https://doi.org/10.1007/s10958-006-0183-x
Autor:
E. Sh. Gutshabash
Publikováno v:
Journal of Mathematical Sciences. 125:185-192
Gauge transformation properties for an associated linear system of the Ishimori's magnet model are discussed. Explicit formulas for the gauge transformation matrix are obtained. A Darboux transformation is suggested and the appropriate dressing relat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a65510e050ffb4e329f40c29f4c987c3
https://doi.org/10.1023/b:joth.0000049570.52501.c1
https://doi.org/10.1023/b:joth.0000049570.52501.c1
Autor:
E. Sh. Gutshabash
Publikováno v:
Journal of Experimental and Theoretical Physics Letters. 78:740-744
The integration procedure based on the the generalized Darboux transform is suggested for the Ishimori magnet model. Exact solutions are constructed for the model of background of spiral structures. The possibility of phase transition in the system i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99e4d4148efdcad35e2e0c739141ca49
https://doi.org/10.1134/1.1648299
https://doi.org/10.1134/1.1648299